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November 20, 2009
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Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Post a New Question | Current Questions

Calculus
There is a point (P) on the graph of [x^2+y^2- 136 x + 12 y + 4560 = 0] and a point(Q) on the graph of [(y + 6)^2 = x^3 - 116 x^2 - 417 x + 267460] such that the distance between them is as small as possible. To solve this problem, we let ((x,y) be the coordinates of the point...
Friday, November 20, 2009 at 4:00am

Calculus
An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 mi/hr. Find the rate at which the angle of elevation is changing when the angle is 30 degrees. I found the answer to be 60 radians/hr by taking the derivative of...
Thursday, November 19, 2009 at 9:30pm

Precalculus
A rectangle is inscribed in a circle of radius 4 centered around the origin. Write a function A(x) for the area of the rectangle. ==> I have no idea how to do this. Can someone help me please? Thanks!!
Thursday, November 19, 2009 at 9:23pm

Calculus
Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.
Thursday, November 19, 2009 at 7:07pm

Calculus
There is a point (P) on the graph of [x^2+y^2- 136 x + 12 y + 4560 = 0] and a point(Q) on the graph of [(y + 6)^2 = x^3 - 116 x^2 - 417 x + 267460] such that the distance between them is as small as possible. To solve this problem, we let ((x,y) be the coordinates of the point...
Thursday, November 19, 2009 at 6:37pm

calculus
Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.
Thursday, November 19, 2009 at 6:21pm

Calculus
3 ⌠ 2⌡ (2x^2+5) / x^2 dx =? I got 1.66 but it was wrong.
Wednesday, November 18, 2009 at 6:04pm

Calculus
Would someone please tell me how to solve these two problems? Find the indefinite integral: x(x-1)^5 dx (v^2)(1-v)^6 dv
Wednesday, November 18, 2009 at 4:52pm

Calculus Optimization
The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 500 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 10 dollar increase in rent. Similarly, one additio...
Wednesday, November 18, 2009 at 4:43pm

calculus
Find the derivative. Could you please show me the steps? y = ãx(5-ãx)
Wednesday, November 18, 2009 at 3:36am

Precalculus
What is the square root of 2 to the poweer of (1/3)? In order to do the problem, I need this information. We are not allowed to use the calculator so I was wondering what that is, or how to find powers of square roots like this.
Tuesday, November 17, 2009 at 8:05pm

Calculus
The volume of a cone of radius r and height h is given by V=1/3pir^2h. If the radius and the height both increase at a constant rate of 1/2 centimeter per second, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeter and the ra...
Tuesday, November 17, 2009 at 6:25pm

calculus
find y' of x^2/3=y^2/3=1
Monday, November 16, 2009 at 5:55pm

calculus
find y' if y=sin^-5x-cos^3x
Monday, November 16, 2009 at 4:33pm

Calculus
Locate the absolute extrema of the function on the closed interval f(x) = 2(3-x) [-1,2]
Monday, November 16, 2009 at 5:51am

PreCalculus
why is -sin(380)/cos (380) equal to -tan(200) I don't see how it's 200 wouldn't it be -tan 380
Sunday, November 15, 2009 at 11:26pm

Pre Calculus
Pre Calculus why is sin(-20)/cos 380 equal to tan (-200)
Sunday, November 15, 2009 at 10:07pm

Calculus
Use the symmetry of the graphs of the sine and cosine functions as an aid in evaluating each definite integral. (a) Integral of sinx*dx from -pi/4 to pi/4 (b) Integral of cosx*dx from -pi/4 to pi/4 (c) Integral of cosx*dx from -pi/2 to pi/2 (d) Integral of sinx*cosx*dx from -p...
Sunday, November 15, 2009 at 9:19pm

Pre Calculus
ok I appologize for my stupidity... I'll answer your question... ok instructions to this problem In problems 77-88, use properties of the trigonmetric functions to find the exact value of each expression. Do not use a calculator 85. sin(-pi/12)csc( (25 pi)/12 ) book dosen&...
Sunday, November 15, 2009 at 9:13pm

Public High School Pre Calculus HH
Ok I do not know how to do this problem. I know that csc is simply sin^-1 sin (- pi/12) csc ( (37 pi)/12 ok now I know this also sin (- pi /12 ) = - sin ( pi/12) not really sure how that helps I don't know were to go from here ( - sin (pi/12) )/(sin ( (25 pi)/12 ) )
Sunday, November 15, 2009 at 7:07pm

calculus
what is the the derivative of the absolute value fuction x-3
Sunday, November 15, 2009 at 6:35pm

Calculus
Evaluate the integral by interpreting it in terms of areas as 0 goes to 12 |2x - 7|dx? This is my work so far: 2x-7=0 x=7/2 slope = 2; y-int = (0, -7) Area of a triangle is 1/2BH.
Sunday, November 15, 2009 at 5:18pm

calculus
find the derivative of f(x)= ln ln ln x
Sunday, November 15, 2009 at 2:16pm

math... precalculus
how do i solve this equation? log3x+log3(x-24)=4
Sunday, November 15, 2009 at 1:54pm

calculus 2
Suppose that you can calculate the derivative of a function using the formula f'(x) = 4f(x) + 2x. If the output value of the function at x= 4 is 2 estimate the value of the function at 4.013
Sunday, November 15, 2009 at 1:52pm

Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.100000 cm thick to a hemispherical dome with a diameter of 75.000 meters.
Sunday, November 15, 2009 at 1:51pm

Calculus
Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows: Let f(x)= x^(1/3) . The equation of the tangent line to f(x) at x=8 can be written in the form y=mx+c where m=1/12 and c=4/3: Using this, find our approximation for 8.4^(1/3).
Sunday, November 15, 2009 at 9:22am

Calculus
Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows: Let f(x)= x^(1/3) . The equation of the tangent line to f(x) at x=8 can be written in the form y=mx+c where m=1/12 and c=4/3: Using this, find our approximation for 8.4^(1/3).
Sunday, November 15, 2009 at 3:24am

calculus
Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the x-axis. If the tangent point is close to the y-axis, the line segment is long. If the tangent point is far from the y-axis, the line seg...
Saturday, November 14, 2009 at 10:18pm

calculus
find the derivative (1+x)(2+x)....(10+x)
Friday, November 13, 2009 at 9:54am

calculus
calculate the lim as x-> pi (cos(x)+1)/(x-pi) using the special limit lim x->0 sinx/x
Friday, November 13, 2009 at 9:05am

calculus
Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the x-axis. If the tangent point is close to the y-axis, the line segment is long. If the tangent point is far from the y-axis, the line seg...
Friday, November 13, 2009 at 8:03am

Calculus
Find an overestimate and underestimate that the bug crawls during an hour v= 1 / [2+t]? For time, t, in hours, 0 <= t <= 1, a bug is crawling at a velocity, v, in meters/hours given by v = 1 / [2+t]. Use delta t = 0.2 to estimate the distance that the bug crawls during t...
Friday, November 13, 2009 at 12:11am

pre calculus
were doing sum and difference identities tan (225 degrees+60 degrees) i got to the part where its 1+radical 3/1-radical 3 ..now what?
Thursday, November 12, 2009 at 9:46pm

calculus
Consider the function f(x)=12x^5+30x^4–300x^3+2. f(x) has inflection points at (reading from left to right) x=D,E, and F. where D is___, E is____, and F is____.
Thursday, November 12, 2009 at 9:32pm

calculus
Consider the function f(x)=4sqrtx+5 on the interval [4,5]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4,5) such that f'(c) is equal to this mean slope. For this problem, there i...
Thursday, November 12, 2009 at 1:31am

Calculus
the limit (h->0) of (sin^2(3x + 3h) - sin^2(3x))/(h) is....
Wednesday, November 11, 2009 at 8:01pm

Calculus, implicit differentation
the equation is x^2 + y^2 =sqrt(7) i knw 2x+2y dy/dx= dont knw if sqrt(7)= 0 for this problem or 1/2(7)^-1/2 so wat do i do for sqrt(7) in this problem?
Wednesday, November 11, 2009 at 4:26pm

calculus
One side of a right triangle is known to be 45 cm long and the opposite angle is measured as 30°, with a possible error of 1°. (a) Use differentials to estimate the error in computing the length of the hypotenuse. (Round the answer to two decimal places.)
Wednesday, November 11, 2009 at 3:03pm

calculus
derivative of y=ln x/x^2 can someone double check the answer 1-2lnx/x^3
Wednesday, November 11, 2009 at 2:23pm

calculus
derivative of f(y)=yln(1+e^y)
Wednesday, November 11, 2009 at 2:18pm

calculus
derivative of f(x)=arctan(x^2-x) is it the product rule or the chain rule?
Wednesday, November 11, 2009 at 2:12pm

Calculus
Find a) lim (ln x)^1/x x->infinity b) lim (x-1)^lnx x->1+
Wednesday, November 11, 2009 at 5:03am

Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.040000 cm thick to a hemispherical dome with a diameter of 60.000 meters
Wednesday, November 11, 2009 at 5:00am

Calculus
Use Newton's method to approximate a root of the equation (2 x^3 + 4 x + 4 =0) as follows. Let (x_1 = -1\) be the initial approximation. The second approximation (x_2) is ? and the third approximation (x_3) is ?
Wednesday, November 11, 2009 at 4:31am

Calculus
What is lim (t^3 + 1)/(t lnt) x->infinity
Wednesday, November 11, 2009 at 3:33am

Calculus
Using L'Hopital's rule find the limit if exists of; lim x->1 (cosx)/(pi-2x) I got (sinx)/2 but i am not sure about this> Can anyone help me out
Wednesday, November 11, 2009 at 2:50am

Calculus
Estimate the area under the graph of f(x) = 2x^3 + 3 from x= -1 to x=5, first using 6 approximating rectangle and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints. When using the left and right endpoints, is there a differ...
Tuesday, November 10, 2009 at 7:29pm

Calculus
Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
Tuesday, November 10, 2009 at 7:27pm

calculus
find the derivative of y=sqrt of arctan x
Tuesday, November 10, 2009 at 7:20pm

calculus
sin(tan^-1(-7/3)) How do i evaluate this? answer has to be exact with no decimals.. calculators not allowed either..
Tuesday, November 10, 2009 at 7:09pm

Calculus
Find the first and second derivatives of the given functions. y=¡î(x©÷+1) y'=x(x©÷+1)^(-1/2) y"=[1(x©÷+1)^(-1/2)]-[(​1/2)[(x©÷+1)^(-3/2)](2x)(x)]​ y"=[(x©÷+1)^(-1/2)]-[(x​&c...
Tuesday, November 10, 2009 at 5:43pm

precalculus
1.csc^2x-1/csc^2x=cos^2x 2.1/1-cosx+1/1+cosx=2csc^2x 3.sinxcosy+cosxsiny/cosxcosy-sinxsiny=ta​nx+tany/1-tanxtany
Tuesday, November 10, 2009 at 4:13pm

calculus
Water is leaking out of an inverted conical tank at a rate of 60000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 90 meters and the diameter at the top is 40 meters. If the water level is rising at ...
Tuesday, November 10, 2009 at 3:56pm

Pre-calculus
f(x)=(1/5)^x=5^-x I plugged in both into my caluculator but I only see one line, are they exactly the same? and how do I find the asymptotes?
Tuesday, November 10, 2009 at 3:24pm

Calculus
The temperature of a cup of Starbucks coffee at time t (in minutes) is T(t)= 70 + c e^(-kt) . Initially, the temperature of the coffee was 200 degrees F. Three minutes later, it was 180 degrees. When will the temperature of the coffee be 150 degrees F? The back of the book say...
Tuesday, November 10, 2009 at 4:59am

Calculus
Use the table of values to estimate ⌠6 ⎮ f(x)⋅dx ⌡0 Use three sub intervals and the (a) left endpoints, (b) right endpoints, and (c) midpoints. If f is an increasing function, how does each estimate compare with the actual value? Explain your reasoning....
Monday, November 9, 2009 at 10:53pm

Calculus
Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1].
Monday, November 9, 2009 at 10:36pm

Calculus
a sandbag is dropped from a balloon at a height of 60 meteres when the angle of eleveation to the sun is 30 degrees. find the rate at which the shadow of the sandbag is traveling along the ground when the sandbag is at a height of 35 meters. hint: the position of the sandbag i...
Monday, November 9, 2009 at 6:55pm

calculus
I need to find the critical number of 4x^3-36x^2+96x-64 by factoring. Basically I need to know the zeros.
Monday, November 9, 2009 at 1:25pm

Calculus
Suppose f(x)= e^(-1/x). Graph this function in the window -5(</=)x(</=)5 and 0(</=)y(</=)10. Find the tangent line to y = f(x) when x=2 and include it in your graph. Also find any horizontal or vertical asymptotes and include them in your graph. Give explanations o...
Monday, November 9, 2009 at 12:48pm

calculus
a 80.0 kg man inside a 40.0kg dumbwaiter pulls down on the rope. at that moment the scale on which he is standing reads 200 N. Determine the elevator's acceleration.
Monday, November 9, 2009 at 12:24am

Calculus
A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.5 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?
Sunday, November 8, 2009 at 10:18pm

calculus
f'(x) = (x^2-1)/x
Sunday, November 8, 2009 at 7:07pm

Calculus
Suppose f(x)= e^(-1/x). Graph this function in the window -5(</=)x(</=)5 and 0(</=)y(</=)10. Find the tangent line to y = f(x) when x=2 and include it in your graph. Also find any horizontal or vertical asymptotes and include them in your graph. Give explanations o...
Sunday, November 8, 2009 at 6:12pm

calculus
find f(x) f'(x) = (x^2-1)/x^(-1)
Sunday, November 8, 2009 at 6:10pm

calculus
1 pt) Find the length of the curve defined by y=1/8(x^2−8ln(x)) from x=3 to x=5
Sunday, November 8, 2009 at 5:43pm

Calculus
R(x)= { ax^2, from A to B { bx+c, from B to C B is 1000 feet horizontally from A and 100 feet higher. Since the road is smooth, R'(x) is continuous. What is the value of b?
Sunday, November 8, 2009 at 5:06pm

calculus
P /|\ / | \ / | \ on this side there is an / | \ arc with A(θ) in the / | \ middle. the B(θ) /θ | B(θ)\ triangle is not equal O -------------- R to the θ triangle. Q the figure shows a setor of a circle with central angle theta. Let A(θ) be the a...
Sunday, November 8, 2009 at 5:02pm

calculus
f(x)=2x+8x^-1.For this function there are four important intervals: (-infinity,A],[A,B),(B,C), and [C,infinity) where A,B and C are either critical numbers or points at which f(x) is undefined.Find A,B and C.
Sunday, November 8, 2009 at 7:48am

calculus
A fence 4 feet tall runs parallel to a tall building at a distance of 5 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
Sunday, November 8, 2009 at 7:37am

Calculus
The circumference of a sphere was measured to be 74.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area? Also Estimate the relative error in the calculated surface area.
Sunday, November 8, 2009 at 1:17am

calculus
find dy/dx of y^3-xy=-1
Saturday, November 7, 2009 at 10:01pm

Calculus
The circumference of a sphere was measured to be 74.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area? Also Estimate the relative error in the calculated surface area.
Saturday, November 7, 2009 at 5:25pm

Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters
Saturday, November 7, 2009 at 5:23pm

Calculus
The linear approximation at x = 0 to sin (5 x) is A + B x. Find A and B?
Saturday, November 7, 2009 at 4:54pm

Calculus
Determine where the absolute extrema of f(x)=-3(x^2)+7x on the interval [1,3] occur. 1. The absolute maximum occurs at = 2. The absolute minimum occurs at =
Saturday, November 7, 2009 at 4:56am

Calculus
f(x) = [3/x^2] - [5/x^7], F(x) is the antiderivative of f(x) with F(1)=0. F(x) = ? I have no idea how to approach this problem. The fractions are scaring me.
Friday, November 6, 2009 at 4:30pm

Calculus
The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Friday, November 6, 2009 at 8:24am

Calculus
The circumference of a sphere was measured to be cm with a possible error of cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Friday, November 6, 2009 at 8:23am

Calculus
A rancher wants to fence in an area of 500000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the shortest length of fence that the rancher can use?
Friday, November 6, 2009 at 8:19am

calculus
How long will it take an investment to triple in value if the interest rate is 4% compounded continuously? i know its set up as 3x=x(e^rt) but im confused as what to do nxt
Friday, November 6, 2009 at 1:25am

calculus
How long will it take an investment to triple in value if the interest rate is 4% compounded continuously? i know its set up as 3x=x(e^rt) but im confused as what to do nxt
Friday, November 6, 2009 at 1:25am

calculus
Alright so implicit differentiation is just not working out for me. Use implicit differentiation to find the slope of the tangent line to the curve at point (4,1). y / (x-2y) = x^3 + 4 Tried quotient rule to get the derivative of the left side, then got derivative of right sid...
Friday, November 6, 2009 at 12:10am

Calculus
What is the antiderivative of f(x)= 2x^8 + 10x^5 - 8x^4 - 4? I got (2/9)^9 + (10/6)^6 - (8/5)^5 - 4x but it's not right.
Thursday, November 5, 2009 at 11:27pm

calculus; implicit differentiation
Use implicit differentiation to find the slope of the tangent line to the curve at the point (4,1) -1x^2 - 4xy + 3y^3 = -29 I differentiated both sides and solved for dy/dx and got 2x-4y/9y^2-4x. Then I plugged in X and Y and got -4/7 but when i enter my answer it's wrong....
Thursday, November 5, 2009 at 11:18pm

calculus
The linear approximation at x=0 to f(x)= sqrt (7+6x) is y=
Thursday, November 5, 2009 at 5:53pm

calculus
If f(x)=x^3. Yhe equation of the tangent line to f(x) at x=4 is y=? Using this, we find our approximation for 3.8^3 is ?
Thursday, November 5, 2009 at 4:09pm

calculus 4; multiple integration
The electrical charge distribution on a circular plate of radius R meters is given by the function f(x,y) = kx (1- sin y) in coulomb/m^2. Integrate the function over the entire plate to find the total charge Q.
Wednesday, November 4, 2009 at 10:51pm

calculus 4; multiple integration
Find the surface area of the portion of a plane f(x,y)=2-x-y that lies above the circle x^2+y^2<=1 in the 1st quadrant.
Wednesday, November 4, 2009 at 10:50pm

Calculus
DEMAND FUNCTION: p = 492-0.15x^2 COST FUNCTION: C = 920+87x Find the number of items (x) that will produce maximum profits.
Wednesday, November 4, 2009 at 10:38pm

Calculus
Differentiate using the chain rule: y=(x+(x+x^(1/2))^(1/2))^(1/2) y'=(1/2)(x+(x+x^(1/2))^(1/2))^-(1/2)​ what are the next steps?
Wednesday, November 4, 2009 at 5:20pm

Calculus
What is implicit differentiation...as in what would be the steps in solving it. I read my textbook but it seems very confusing. 1) Differentiate both sides with respect to x 2) Realize that y is a function of x 3) Solve for y Plus the d/dx notation made it even more confusing....
Wednesday, November 4, 2009 at 1:15pm

Calculus
1)Suppose Q = x^3 y^2 . If [dQ/dt] = −1 and [dx/dt] = 2, find [dy/dt] when x = 4 and y = 5 . [dy/dt] =______ 2)Let A be the area of a circle with radius r. If [ dr / dt ] = 2, find [ dA / dt ] when r = 3
Tuesday, November 3, 2009 at 9:43pm

calculus
If y = 5x^3 − 10x, determine [dy/dt] when x = 0 and [dx/dt] = −2 . help please ;)
Tuesday, November 3, 2009 at 9:11pm

Calculus (derivatives)
Find the derivative of cos^2(4x)
Tuesday, November 3, 2009 at 5:41pm

Calculus
Suppose that a population of bacteria triples every hour and starts with 700 bacteria. (a) Find an expression for the number n of bacteria after t hours. n(t) = ? (b) Estimate the rate of growth of the bacteria population after 1.5 hours. (Round your answer to the nearest hund...
Tuesday, November 3, 2009 at 5:21pm

calculus 4; multiple integration
Find the surface area of the portion of a plane f(x,y)=2-x-y that lies above the circle x^2+y^2<=1 in the 1st quadrant.
Tuesday, November 3, 2009 at 3:01pm

calculus 4
a solid cube, 2 units on a side, is bounded by the planes x=+-1, z=+-1, y=3 and y=5. Find the center of mass using triple integrals.
Tuesday, November 3, 2009 at 3:00pm

calculus
Using a double integral, find the volume of the solid that's bounded by the cylinder z=x^2 and below by the region enclosed by the parabola y=2-x^2 and the line y=x
Tuesday, November 3, 2009 at 2:59pm

calculus - antiderivative
can someone help me find the antiderivative of: f'(x) = (x^2-1)/x where f(1)=1/2, and f(-1) = 0 Thanks!
Tuesday, November 3, 2009 at 12:06am

calculus
find the points at which the graph of 4x^2 - 4x + 12y^2 -6y = 10 has a vertical and horizontal tangent line. For the vertical only solve for y and for the horizontal only solve for x. I got the deriviative to be: (8x-4)/(-24y + 6). For the horizontal, x = 1/2 For the vertical ...
Monday, November 2, 2009 at 5:18pm

Calculus
A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the length L and width W (with W<= L) of the en...
Monday, November 2, 2009 at 11:36am

Calculus
For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) Graph y = f_c(x) for these values of the parameter c: c = -1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change as the parameter increases? (b) For what value...
Sunday, November 1, 2009 at 10:36pm

PreCalc (Just Can't Comprehend)
Find the dimensions of the rectangle with minimum perimeter if its area is 400 square meters. Find the least perimeter. I know that a rectangle has two sides that are equal and two other sides that are equal but I am unsure about what type of equation to use. I thought maybe I...
Sunday, November 1, 2009 at 9:41pm

calculus
Find the indefinite integral and check the result by differentiation: (integral) x^2 +2x -3 ---------- dx x^4
Sunday, November 1, 2009 at 9:17pm

Calculus
For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) Graph y = f_c(x) for these values of the parameter c: c = -1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change as the parameter increases? (b) For what value...
Sunday, November 1, 2009 at 7:57pm

calculus
what is the derivative of y = (1/2)xln(x)
Sunday, November 1, 2009 at 7:00pm

Calculus
a bomb is dropped from an airplane at an altitude of 14,400 feet. how long will it take to reach the ground? (because of the motion of the plane, the fall will not be vertical, but the time will be the same as that for a vertical fall.) the plane is moving at 600 miles per hou...
Sunday, November 1, 2009 at 5:22pm

Calculus
An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 miles per hour. Find the rate at which the angle of elevation tetra is changing when the angle is 30 degrees
Sunday, November 1, 2009 at 5:20pm

Calculus
a spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. how fast is the radius of the balloon increasing at the instant the radius is 30 centimeters?
Sunday, November 1, 2009 at 8:39am

Calculus
can someone please explain h t t p : / / w w w . j i s k h a . c o m / d i s p l a y . c g i ? i d = 1 2 5 7 0 4 1 1 4 5
Sunday, November 1, 2009 at 12:14am

Calculus
can someone please explain h t t p : / / w w w . j i s k h a . c o m / d i s p l a y . c g i ? i d = 1 2 5 7 0 4 1 1 4 5
Saturday, October 31, 2009 at 11:45pm

Calculus
I'm asked to find the domain of fuction (x+5)/(x-3) saying that x is all reals except for x can not equal three is wrong correct? Because i can evalue function when x = 3 as follows 3 + 5 = 8 so saying that the function has range x is a reals except x can not equal three i...
Saturday, October 31, 2009 at 10:05pm

calculus
write the product in standard form (1-4i)(3-2i) (squareroot-4+i)(6-5i)
Saturday, October 31, 2009 at 4:32pm

Calculus
f(t)= -2te^-t^2, [0,5] Find average value. Attempt: I know that the average value is the integration of f(t) from a to b divided by b-a. I used u substitution to get u= -t^2 and du= -2xdx. I changed the limits of integration to [0,25] and I got integral of e^u du. I am not sur...
Thursday, October 29, 2009 at 9:07pm

calculus
how would i find the deriviative of y= x^ (- square root of 2)
Thursday, October 29, 2009 at 8:27pm

Pre-Calculus
Sales of ski equipment varies through the year from highs in January & December of $20 million, to a low in June of $2 million. Write a trigonometric function that describes this cycle. Calculate the expected sales for April. I think I got the first part: 9cos(pi/6) + 11 I am ...
Thursday, October 29, 2009 at 7:46pm

calculus
Use implicit differentiation to find the slope of the tangent line to the curve (y/x+8y)=x^8 +9 at the point (1,10/-79).
Thursday, October 29, 2009 at 7:01pm

calculus
If 5x^2+3x+xy=2 andy=-12, find y'(2) by implicit differentiation.
Thursday, October 29, 2009 at 6:59pm

calculus
A particle is moving along the curve y= 3sqrt3x+1. As the particle passes through the point (5,12), its x-coordinate increases at a rate of 3 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Thursday, October 29, 2009 at 6:56pm

calculus
Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 20 feet high?
Thursday, October 29, 2009 at 6:54pm

calculus
Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm^3/s. How fast is the surface area of the balloon increasing when its radius is 7cm?
Thursday, October 29, 2009 at 6:53pm

calculus
find dy/dx x=sin y
Thursday, October 29, 2009 at 6:26pm

calculus
write the expression in the form bi, where b is the real number squareroot-16 squareroot-25 squareroot-3 squareroot-5
Thursday, October 29, 2009 at 6:25pm

calculus
When air expands adiabatically (without gaining or losing heat), its pressure and volume are related by the equation PV^1,4=C where C is a constant. Suppose that a a certain instant the volume is 520 cubic centimeters and the pressure is 99kPa and is decreasing at a rate of 1...
Thursday, October 29, 2009 at 5:40pm

calculus
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 3 PM?
Thursday, October 29, 2009 at 5:38pm

Calculus BC
Can someone help me differentiate this? f(x)= 2cos(5 ln(x)) So what is f'(x)?
Thursday, October 29, 2009 at 2:20am

Calculus
The measurement of one side of a right triangle is found to be 9.5 inches, and the angle opposite that side is 26°45' with a possible error of 1.5'. Approximate the percent error in computing the area of the triangle.
Wednesday, October 28, 2009 at 11:40pm

calculus
Differentiate the following function. y = (5 x^2 + 7 x + 6)/sqrt(x)
Tuesday, October 27, 2009 at 11:46pm

calculus (related rates)
A particle moves in the plane along the curve y=xln(x). At what rate is the distance from the origin increasing at the moment its x-coordinate is 2 cm and its x-coordinate is increasing at a rate of 17 cm/sec?
Tuesday, October 27, 2009 at 9:05pm

calculus
T^(1/3)=e^(r/10)m^(3/2) If the mass and radius are given as m= 2 mg and r= 5mm, and the rates of change of the temperature and radius are given as 3 deg/sec and 1 mm/sec, what is the rate of change of mass (m)?
Tuesday, October 27, 2009 at 8:15pm

Calculus
At what points on the curve y=(x^2)/(2x+5) is the tangent line horizontal? y'=[(2x)(2x+5)-(2)(x^2)]/(2x+5)^2 =[2x^2+10x]/(2x+5)^2 I plugged 0 into x, and got the coordinates (0,0). How do I get the other pair of coordinates? Thanks in advance.
Tuesday, October 27, 2009 at 7:11pm

Calculus (trig stuff)
given a angle how do I find it's point P on the unit circle?
Tuesday, October 27, 2009 at 4:30pm

Calculus
F(x) = x^3 / (x-16) is concave up and down on what intervals? I got the derivative to be f' = (x^4 - 48) / (x^2-16)^2 and I found the local min and max but now I need to find where it concaves up and down.
Tuesday, October 27, 2009 at 1:20pm

Calculus
What are the critical points of f(x)= e^x / 3+e^x?
Tuesday, October 27, 2009 at 1:20am

pre calculus
Use the following conditions to create a sketch of the function by hand. a. vertical asymptote at x=3 b. x-intercept of 1 and 5 c. f(2)=f(4)=f(6)=3 d. increasing on [0,3) and [5,infinity) e. decreasing on (3,5] f. f(x) is an odd function I don't know how to graph this. It ...
Monday, October 26, 2009 at 11:09pm

calculus
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 12 feet high? ...
Monday, October 26, 2009 at 8:48pm

Calculus - maximum problem
An isosceles trapezoid is inscribed under the graph oof y =cos x. what are the dimensions which will give the greatest area?
Monday, October 26, 2009 at 6:27pm

Calculus
What is the difference between f'(x), y', and dy/dx?
Monday, October 26, 2009 at 6:26pm

Calculus
What is the area of the largest rectangle that can be placed in a 5-12-13 right triangle (as shown)?
Monday, October 26, 2009 at 6:26pm

Calculus
Find the inflection points for f(x) = 12x^5 + 45x^4 - 360x^3 + 7
Monday, October 26, 2009 at 12:51pm

calculus
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 4 PM?
Monday, October 26, 2009 at 11:34am

Calculus
How do you find factors of this with long division? 2x^3 - 3x^2 + 3x -1 = 0 I just don't know how to do it because there is a coefficient in front of first term.
Monday, October 26, 2009 at 4:22am

calculus
A flag pole is 40 feet high and stands on level ground. a flag is attached to a 120 foot rope passing through a pulley at the top of the flagpole. The other end of the rope is tied to a car at ground level. If car was driving directly away from flagpole at 3ft/sec, how fast is...
Monday, October 26, 2009 at 3:22am

Calculus
Let r be the monthly rent per unit in an apartment building with 100 units. All the units are rented at r= $900. One unit becomes vacant for each $10 increase in rent. Maintenance cost are $100 for occupied units and nothing for unoccupied units..... so A) show that the number...
Monday, October 26, 2009 at 3:03am

calculus
find the limit as x reaches infinite with the equation x^2-5/2x+1
Sunday, October 25, 2009 at 10:11pm

Calculus (trig stuff)
How do I do these type of problems find the exact value. Do not use a calculator cos 7pi
Sunday, October 25, 2009 at 9:33pm

Calculus
(x+y)^4 can be expanded starting at x^4*y^0 and taking the sum of the products of the derivative of the x term and the integral of the y term? Why does this work?
Sunday, October 25, 2009 at 8:28pm

Pre-Calculus IB
If R is the remainder when each of the numbers 1059, 1417, and 2312 is divided by D, where D is an integer greater than 1, compute the value of D - R.
Sunday, October 25, 2009 at 8:15pm

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