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Homework Help: Math: Calculus
Recent Homework Questions About Calculus
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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...
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...
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!!
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.
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...
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.
Calculus
3 ⌠ 2⌡ (2x^2+5) / x^2 dx =? I got 1.66 but it was wrong.
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
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...
calculus
Find the derivative. Could you please show me the steps? y = ãx(5-ãx)
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.
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...
calculus
find y' of x^2/3=y^2/3=1
calculus
find y' if y=sin^-5x-cos^3x
Calculus
Locate the absolute extrema of the function on the closed interval f(x) = 2(3-x) [-1,2]
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
Pre Calculus
Pre Calculus why is sin(-20)/cos 380 equal to tan (-200)
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...
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&...
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 ) )
calculus
what is the the derivative of the absolute value fuction x-3
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.
calculus
find the derivative of f(x)= ln ln ln x
math... precalculus
how do i solve this equation? log3x+log3(x-24)=4
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
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.
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).
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).
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...
calculus
find the derivative (1+x)(2+x)....(10+x)
calculus
calculate the lim as x-> pi (cos(x)+1)/(x-pi) using the special limit lim x->0 sinx/x
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...
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...
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?
calculus
Consider the function f(x)=12x^5+30x^4300x^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____.
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...
Calculus
the limit (h->0) of (sin^2(3x + 3h) - sin^2(3x))/(h) is....
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?
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.)
calculus
derivative of y=ln x/x^2 can someone double check the answer 1-2lnx/x^3
calculus
derivative of f(y)=yln(1+e^y)
calculus
derivative of f(x)=arctan(x^2-x) is it the product rule or the chain rule?
Calculus
Find a) lim (ln x)^1/x x->infinity b) lim (x-1)^lnx x->1+
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
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 ?
Calculus
What is lim (t^3 + 1)/(t lnt) x->infinity
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
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...
Calculus
Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
calculus
find the derivative of y=sqrt of arctan x
calculus
sin(tan^-1(-7/3)) How do i evaluate this? answer has to be exact with no decimals.. calculators not allowed either..
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...
precalculus
1.csc^2x-1/csc^2x=cos^2x 2.1/1-cosx+1/1+cosx=2csc^2x 3.sinxcosy+cosxsiny/cosxcosy-sinxsiny=tanx+tany/1-tanxtany
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 ...
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?
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...
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....
Calculus
Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1].
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...
calculus
I need to find the critical number of 4x^3-36x^2+96x-64 by factoring. Basically I need to know the zeros.
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...
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.
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?
calculus
f'(x) = (x^2-1)/x
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...
calculus
find f(x) f'(x) = (x^2-1)/x^(-1)
calculus
1 pt) Find the length of the curve defined by y=1/8(x^2−8ln(x)) from x=3 to x=5
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?
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...
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.
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?
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.
calculus
find dy/dx of y^3-xy=-1
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.
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
Calculus
The linear approximation at x = 0 to sin (5 x) is A + B x. Find A and B?
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 =
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.
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.
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.
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?
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
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
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...
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.
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....
calculus
The linear approximation at x=0 to f(x)= sqrt (7+6x) is y=
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 ?
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.
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.
Calculus
DEMAND FUNCTION: p = 492-0.15x^2 COST FUNCTION: C = 920+87x Find the number of items (x) that will produce maximum profits.
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?
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....
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
calculus
If y = 5x^3 − 10x, determine [dy/dt] when x = 0 and [dx/dt] = −2 . help please ;)
Calculus (derivatives)
Find the derivative of cos^2(4x)
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...
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.
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.
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
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!
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 ...
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...
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...
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...
calculus
Find the indefinite integral and check the result by differentiation: (integral) x^2 +2x -3 ---------- dx x^4
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...
calculus
what is the derivative of y = (1/2)xln(x)
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...
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
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?
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
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
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...
calculus
write the product in standard form (1-4i)(3-2i) (squareroot-4+i)(6-5i)
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...
calculus
how would i find the deriviative of y= x^ (- square root of 2)
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 ...
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).
calculus
If 5x^2+3x+xy=2 andy=-12, find y'(2) by implicit differentiation.
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.
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?
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?
calculus
find dy/dx x=sin y
calculus
write the expression in the form bi, where b is the real number squareroot-16 squareroot-25 squareroot-3 squareroot-5
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...
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?
Calculus BC
Can someone help me differentiate this? f(x)= 2cos(5 ln(x)) So what is f'(x)?
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.
calculus
Differentiate the following function. y = (5 x^2 + 7 x + 6)/sqrt(x)
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?
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)?
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.
Calculus (trig stuff)
given a angle how do I find it's point P on the unit circle?
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.
Calculus
What are the critical points of f(x)= e^x / 3+e^x?
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 ...
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? ...
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?
Calculus
What is the difference between f'(x), y', and dy/dx?
Calculus
What is the area of the largest rectangle that can be placed in a 5-12-13 right triangle (as shown)?
Calculus
Find the inflection points for f(x) = 12x^5 + 45x^4 - 360x^3 + 7
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?
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.
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...
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...
calculus
find the limit as x reaches infinite with the equation x^2-5/2x+1
Calculus (trig stuff)
How do I do these type of problems find the exact value. Do not use a calculator cos 7pi
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?
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.
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