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Homework Help: Math: Calculus
Recent Homework Questions About Calculus
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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.
Calculus
can someone break down how to take the integral of this problem? 20te^-10t dt
Calculus
find the derivative of f, when f(x)=1/sqrt(x) ok so i tried simplifying it by multiplying top and bottom by conjugate radical, the top simplified to h but the bottom was a mess.
Calulus
Hi there I need help with one of the problem from my homework package. This week for my calculus class, we were learning how to do partial derivative and finding the tangent of the plane. So I do not know how to approach this problem. Please help me by how to derive this probl...
Calculus
Ok so I have to find a vertical asymptote with denominator 3x^3-x-1. So then the denominator must not equal zero. But i just can't solve the cubic function i tried long division! but it didnt work
pre-calculus
List the possible rational roots of each equation. Then determine the rational roots. 6x^4+35x^3-x^2-7x-1 The answer in the back of the book is: -1/3 and 1/2 I know that I'm supposed to use Descartes rule of signs. I found that there was 1 positive zero and 3 or 1 negative...
calculus
A vector field with a vector potential has zero flux through every closed surface in its domain. it is observed that although the inverse-square radial vector field F = (e^r)/(p^2) satisfies div(F) = 0, F cannot have a vector potential on its domain {(x,y,z)does not equal (0,0...
Calculus
maximum and minimum of y = cos(x) + sin (x)on the interval [0,2pi]
Calculus
Is f(x)=1/sqrt(x-5) continious at x=2? I know it is discontinuous at x=5 but then I got confused with the three rules. Because function is continuous if f(a) a is in the domain, limit exits, and also lim x->a f(x) = f(a)?
Calulus
Hi there I need help on my calculus homework and this week, we were working on partial derivative. I don't know how to approach this word problem and set it into a maximum or minimum. Well I am not too sure if this problem is a minimum or maximum problem. Please help me an...
Calculus
ok I don't understand how this was done inergral(y2 and y1) pgywdy = 1/2 pgw(y2^2 - Y1^2) ok it's been a while sense calc I rember you add one to the power of the term that was a dervitative and divide by that power hence (1/2)(y2^2 - Y1^2) but what happened to the y t...
// calculus - trig derivatives
how do i do i do y=cos(radt)+ rad(cost)? ---- f(x) = (3x^2) (csc4x)^4 // f'(x)=? my notes say : f'(x) = (3x^2)5(csc4x)^4(-csc(4x)(tan4x)(4)+(csc4x)^5(6) I redid it and i got : f'(x) = (3x^2)5(csc4x)^4(-csc4x)(cot4x)(4) + (csc4x)^5(6x) which is correct? if it...
// calculus - derivatives
y = sec(5x) / x^2 my notes say y' = 5x^2sec5xtan5x-2xsec5x i get y'= sec5x(-2x^-3)+sec5xtan5x(5)(x^-2) when i change it to (sec5x)(x^-2) or by quotient rule [ (x^2)(sec5x)(tan5x)(5)-(sec5x)(2x) ] / (x^4) which is correct?
calculus
f(x) = (3x^2) (csc4x)^4 // f'(x)=? my notes say : f'(x) = (3x^2)5(csc4x)^4(-csc(4x)(tan4x)(4)+(csc4x)^5(6) I redid it and i got : f'(x) = (3x^2)5(csc4x)^4(-csc4x)(cot4x)(4) + (csc4x)^5(6x) which is correct? if its my notes why?
Math subject Calculus
Hi there I am having some difficulties to solve this problem from my homework package and i don't understand how to approach this problem. Please help me by giving me advice on how to approach this problem. Let z = xsin(x/y), y does not equal zero. Show that the tangent pl...
Calculus
find the acceleration at time t=9s if the position (in cm) of a particle moving along a line is s(t)=6t^3-7t^2-9t+2 at time t.
Calculus
Help me simplify this down some more so I can set it to zero and find my critical points. f(x) = x^3 (x+2)^6 f'(x) = x^3 * 6(x+2)^5 + 3x^2 * (x+2)^6
calculus
(lim x --> +inf) of (x^2 - [[x^2]])/2 using Squeeze theorem only thank you so much in advance! its for my midterm tonight!
Calculus AP
Can someone help me step by step how to find the answer to this problem. The amount of air in a balloon at time t is given by the equation a(t)=3tsint+t^2 where t is measured in seconds and the amount of air is measured in cubic centimeters. a. what is the amount of air in the...
calculus
I have to do an "interview" with a limit. Any ideas on what i should interview.
calculus
In dire need of help with derivatives. if f(x)=(x2+3x+6)3, find f'(x) if f(x)=3^1/2 / t^5 (square root of three divided by t to the 5th power), find f'(x) If f(x)=(3x+4)^–1 , find f(x) .
calculus
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^{1.4}=C where C is a constant. Suppose that at a certain instant the volume is 340 cubic centimeters and the pressure is 87 kPa and is decreasing at a ra...
calculus
Find the volume formed by rotating the region enclosed by: x=5y and y3=x with y0
Calculus
What is the x coordinate of the absolute minimum of 6x + [12/x] when x > 0?
Physics (Liquids)
Hi! Ok P = Po + (greek lowercase letter Ro)gh pressure = atmospheric pressure + density of fluid(gravity)(pressure head) I derived it using calculus and followed along in the book the book assuems in ther derivation that it's a solid cylinder that sits straight up and down...
calculus
i have to find the derivative (first) of y= tan^2 (3x-π) ^that is (3x- pi)
calculus
what is the derivative of (sin^2)x ?
calculus
find a and b lim x -> 0 ((2x+b)^1/2)-(5^1/2))/ ((a(abs x)/4) - (1/4))= 2
calculus
find a and b lim ((b^1/2)+(5^1/2)) x - 0 ------------------ = 2 (a(abs x)/4) - (1/4)
Calculus
Differentiate the following function: y= [x+1]/√x I tried y=[x+1]/x^(1/2) y' =1/2√x y'=2√x Thanks in advance.
calculus
The region between the graphs of y=x^2 and y=2x is rotated around the line x=2. The volume of the resulting solid is ____. Please help. I've tried this problem so many times but i keep getting it wrong. I thought the outer radius would be (2-0) and inner radius is (2-x^2) ...
calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^4, y=0, x=2, x=9; about y=–5
calculus
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship B is sailing north at 16 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
calculus
I've tried this problem about 20 times and a bunch of different ways and I can't seem to get it right. The problem is: Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Where y=1/(x^3), y=0, x=4, and x=8....
Calculus
Use Mean Value Theorem and find all numbers c in (a,b) 1.x+(4/x) [1,4] Help me!
Calculus
What's the derivative of (x-1)(x-7)^3+10?
Pre-Calculus
"Given that f(x)=3x-4 g(x)=2x²+5 Find g(f(x))" Can you helpme out?
Calculus
What is the absolute max and absolute min of 3+13 |t-8| for -1 <= t <= 11? The absolute max of this function is ______ and occurs at ? The absolute min of this function is______ and occurs at?
CALCULUS
Determine whether F satisfies the hypotheses of the mean value theorem on [a,b], and if so, find all numbers c in (a,b). f(x)=X^2/3 [-8,8] why this answer is f is not differantible?
calculus
find the vertex for the preceding algebraically: h(t)=-16t^2+8t+8000 & then use the t- intercepts and the vertex to define a reasonable window for a graphing calculator. please help!! & thank you so much
Math, Calculus
help Please... Differential Equations Problems... please give the complete solution, so that i can understand how it is derived... tnx in advance, god Bless... Here are the problems : 1.) y dx + (2x+3y)dy = 0 2.) (2xy + y^(2) ) dx - 2x^(2) dy = 0 ;y = e, x = e 3.) y( x^(2) + x...
Calculus
How would i start this problem? The amount that workers contribute monthly for health care insurance premiums can be modeled by A(t)=0.07t^3-3.1t^2 + 54.3t-230, where A is the monthly amount contributed and t is the number of years after 1980. Find the instantaneous rate of ch...
Match, Calculus
help Please... Differential Equations Problems... please give the complete solution, so that i can understand how it is derived... tnx in advance, god Bless... Here are the problems : 1.) y dx + (2x+3y)dy = 0 2.) (2xy + y^(2) ) dx - 2x^(2) dy = 0 ;y = e, x = e 3.) y( x^(2) + x...
AP Calculus - High School
The Temperature T of food put in a freezer is T = (700) / t^2+4t+10 where t is the time in hours. Find the rate of change of T with respect to t at each of the following times. a. t=1 b. t=3 c. t=5 d. t=10 ** i'll be able to do the others on my own if you please explain st...
calculus
how do not understand how to find a deriviative of this function?Do i use chain rule and product rule? r= the square root of (theta*sin*theta) No one has answered this question yet.
calculus
An object is moving along the parabola y = 3x^2. (a) When it passes through the point (2,12), its horizontal velocity is dx/dt = 3. what is its vertical velocity at that instant? (b) If it travels in such a way that dx/dt = 3 for all t, then what happens to dy/dt as t --> +...
calculus
how do not understand how to find a deriviative of this function?Do i use chain rule and product rule? r= the square root of (theta*sin*theta)
Calculus
An object is moving along the parabola y = 3x^2. (a) When it passes through the point (2,12), its horizontal velocity is dx/dt = 3. what is its vertical velocity at that instant? (b) If it travels in such a way that dx/dt = 3 for all t, then what happens to dy/dt as t --> +...
calculus - limits
limit as x approaches infinity; tan^(-1) (x^2 - x^4) any help is appreciated =D
Calculus
An object is moving along the parabola y = 3x^2. (a) When it passes through the point (2,12), its horizontal velocity is dx/dt = 3. What is its vertical velocity at that instant? (b) If it travels in such a way that dx/dt = 3 for all t, then what happens to dy/dt as t --> +...
Calculus
Find the particular solution of the differential equation y"(x) - y(x) = 1+e^x Please help.
calculus - identities
prove this identity: sec(y) - cos(y)= tan(y)sin(y) THANK YOU!!
calculus
The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point (-2, 1/5). y=1/(1+x^2)
calculus
Differentiate the following function. A(s)=-19/s^5
calculus
A manufacturer produces bolts of fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p).Then the total revenue earned with selling price p is R(p) = pf(p).Gi...
calculus
a rectangular piece of cardboard that measures 4 by 3 inches is to be formed into a rectangular box by cutting squares with length x from each corner and folding up sides. Find the volumes of the box in terms of x
Calculus
I'm having trouble with part of a question in a problem set. The question reads as follows: Continuous price discounting. To encourage buyers to place 100-unit orders, your firm's sales department applies a continuous discount that makes the unit price a function p(x) ...
calculus
If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 64 ft/sec, its height after t seconds is s(t)=64+64t–16t2 . What is the maximum height the ball reaches? What is the velocity of the ball when it hits the ground (height 0 )?
calculus
The slope of the tangent line to the parabola y=4x2–6x+6 at the point where x=5 is: The equation of this tangent line can be written in the form y=mx+b where m is: and where b is:
Calculus
Differentiate the following function. f (x) = 7 sin(x) + 1/6 cot(x)
Calculus
Another question, if f(x+h)-f(x)= -3hx**2+4hx-8h**2x+5h**2-3h**3, what is f'(x)?
Calculus
The function f(x)= sqrt(x+6), I am told that the derivative (slope of tangent line) at x=46 is 1/n for some integer n. what do I expect n to be? I don't understand this question very well. Help is greatly appreciated
Calculus
Can someone break this down for me step by step? I'm reviewing for a midterm and got stuck on this problem. 5xy - 3x - 4 = 0 y' at (2,1) I'm not sure where the 5 goes when you apply the product rule to the xy.
Calculus: limits
Evaluate the limit at t --> 25: [25 - t] / [5 - √(t)] I multiplied it by √(x + 3) to get rid of the square root on the bottom. However, once I'm done distributing it out, I'm not sure I'm doing it right. I get [x√(x+3) + 2x - 2] / [x + 5] Once ...
Math
Hi, this is a question I posted a couple of days ago and answers below.I am still really confused and unfortunately can't copy a picture into this. I thought it would be y-x but have no idea how to calculate that, but as the pistons move in towards each other, wouldn't...
Math (Pre-Calculus)
9t^4 + 6t^2 + 2 the problem is asking for the value of t at which the graph is at it's minimum. what i did was set t^4 to x^2 and t^2 to x. So that means I have 9x^2 + 6x + 2. Completing the square and the vertex formula gave me the same answer of -1/3 as x. So setting tha...
Calculus
What is the derivative of f(x)=5^x log6(x)?
calculus
f(x)= -7(cos(s^3))(tan(s^2)), find f'(x). I got 21s^2cos(s^3) x 2s(sec^2(s^2)) but it is wrong...
calculus
The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at point P and the parabola y=4x^(2)+4x+5 at point Q. a. If a line tangent to the cubic at point P is parallel to the line tangent to the parabola at point Q, find the value of c where c>0.
pre-calculus
Callaway golf Company has determined that the marginal cost C of manufacturing x Big Bertha Golf clubs may be expressed by the quadratic function: C(x) = 4.9^2 - 617.4x + 19,600 How many clubs should be produced to minimize marginal cost?
Calculus
Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?
Calculus
We are doing problems with the product and quotient rules, but I'm not sure if I'm doing them correctly. If someone could check my answer I would really appreciate it. The original problem was y = (2x-1)^5 * (4x+1)^-1 and I got the derivative to equal y' = [(2x-1)^...
Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with a diameter of 45.000 meters.
Calculus
A 25 foot ladder is leaning on a 9 foot fence. The base of the ladder is being pulled away from the fence at the rate of 10 feet/minute. How fast is the top of the ladder approaching the ground when the base is 9 from the fence? [Note: The ladder is protruding over the top of ...
calculus
just wondering if someoen could help me with this limit..: lim arctan[(x^2 - 4)/(3x^2-6x)] x->2
Calculus
Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 303 F and left to cool in a room at 74 F, it's temperature ...
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