# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

**Calculus**

a 160-inch strip of metal 20 inches wide is to be made into a small open trough by bending up two sides on the long side , at right angles to the base. the sides will be the same height , x. if the tgrough is to have a maximum volume, how many inches should be turned up on ...

*Wednesday, January 11, 2017 by Someone*

**Calculus**

The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the resulting possible error in the volume of the cylinder? Include units in your answer. V = πr²h = 16πr² dV/dr = 32πr dV = 16πr dr Let dV and dr...

*Wednesday, January 11, 2017 by Someone*

**Calculus**

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-18 y=2 y=0 I still don't get this based on steve's answer will someone please help?

*Wednesday, January 11, 2017 by Someone*

**Calculus**

if f(x)= |(x^2-9)(x^2+1)| how many numbers in the interval [-1,1] satisfy the mean value theorem? None 1 2 3 Will someone please explain in detail?

*Wednesday, January 11, 2017 by Someone*

**Calculus**

A particle moves along the x-axis with position function s(t) = e^cos(x). How many times in the interval [0, 2π] is the velocity equal to 0? 1< My answer 2 3 More than 3 I don't really get this question will someone please explain it to me?

*Wednesday, January 11, 2017 by Someone*

**calculus**

The bending moment (BM) along a beam BM = 30x -5x2 kNm where x is the distance in metres from the left hand end. Find the position and value of the maximum bending moment.

*Wednesday, January 11, 2017 by Sammy*

**Calculus**

Can you please help me get the solution to this limit without using squeeze theorem and l'hopitals rule lim x to 0 of x^3 sin(1/x) lim x to 0 of x^2 sin^2(1/x)

*Wednesday, January 11, 2017 by Liv*

**Calculus**

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-1 y=2 y=0 There is no leading coefficient so I am not sure what the answer is.

*Wednesday, January 11, 2017 by Someone*

**calculus**

A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 5t + 3, s(0) = 0, s(1) = 20 s(t) =

*Tuesday, January 10, 2017 by lisa*

**pre-Calculus**

Make a conjeture about the symmetry of a) a product of two odd functions b) a product of two even functions c) a product of an odd function and an even function

*Tuesday, January 10, 2017 by Kevin*

**AP Calculus**

Ship A is sailing due west at 8km/hr when it sees ship B northwest of its present position. If ship B is sailing due south at 3km/hr, then how close will they come on their courses?

*Monday, January 9, 2017 by J*

**Pre-Calculus**

Tommy is building a rectangular playpen for his pigs where one side of the play area is a side of his barn. He has enough material to make a fence with a total length of 160 feet. write a función that represents the playpen's área in terms of its length perpendicular to the ...

*Sunday, January 8, 2017 by Kevin*

**Pre-Calculus**

A cylinder's height is 5cm longer than the radias of its base. Write a función modeling the cylinder's volume in terms of its diameter.

*Sunday, January 8, 2017 by Calvin*

**Pre-Calculus**

Squares of side length x are removed from the 4 corners of an 11in by 8.5in piece of paper. The sides are then folded up to create an open-top box. Write a funcion that determines the volume of the box and determine the functions range. How much should be cut from the corners ...

*Sunday, January 8, 2017 by Calvin*

**calculus**

how do I graph this using the first and second derivative and three sign charts. i have to label the inflection point, extreme values and the intercepts also. f(x)= x^3-6x^2

*Sunday, January 8, 2017 by angie*

**calculus**

Water leaking onto a floor creates a circular pool with an area that increases at the rate of 3 square inches per minute. How fast is the radius of the pool increasing when the radius is 10 inches?

*Sunday, January 8, 2017 by angie*

**Calculus**

What is the largest possible product of two non-negative number whose sum is 1

*Sunday, January 8, 2017 by Josh*

**calculus**

What is the largest possible product of two negative number whose sum is 1?

*Sunday, January 8, 2017 by Josh*

**calculus**

is my answer to this question correct A spherical balloon is losing air at the rate of 2 cubic inches per minute. How fast is the radius of the ballon shrinking when the radius is 8 inches. Answer= .0024

*Sunday, January 8, 2017 by Josh*

**calculus**

Is this the correct answers for these questions Verify the means value theorem holds on the interval shown. Then, find the value c such that f'(c)=(f(b)-f(a))/(b-a) b.f(x)=x^3=x-4 on [-2,3] c= square root 7/3 c. f(x)= x^3 on [-1,2] c= square root 1 d. f(x)= Sqr. root of x on[...

*Sunday, January 8, 2017 by Angela*

**calculus**

A spherical balloon is losing air at the rate of 2 cubic inches per minute. How fast is the radius of the ballon shrinking when the radius is 8 inches.

*Sunday, January 8, 2017 by Josh*

**calculus**

Given, F(n+1)-12f(n)=0. n≥1, where F(1)=-3 find the solution to the equation.

*Sunday, January 8, 2017 by .....*

**calculus**

find the maximum and minimum value of the function f(x)= x-x^3 on the interval [-2,2] I also need help with this question What is the largest possible product of two negative number whose sum is 1?

*Sunday, January 8, 2017 by jake*

**calculus**

Verify the means value theorem holds on the interval shown. Then, find the value c such that f'(c)=(f(b)-f(a))/(b-a) a. f(x)= x-1/x on [1,3] b.f(x)=x^3=x-4 on [-2,3] c. f(x)= x^3 on [-1,2] d. f(x)= Sqr. root of x on [0,4]

*Sunday, January 8, 2017 by angela*

**More calculus**

A garden is to be designed in the shape of a circular sector, with radius r and central angle theta. the garden is to have a fixed area A. for what value of R and theta will the length of the fencing be minimized?

*Friday, January 6, 2017 by Kriss*

**Calculus**

Find all values of a, B so that the function f(x)=1 if x>3, f(x)=ax-10 if x<3, and f(x)=B otherwise is continuous everywhere. I think a is continuous everywhere since ax-10 is a polynomial, and b is continuous at x=3.

*Friday, January 6, 2017 by Kriss*

**Calculus**

use implicit differentiation to find dy/dx if 5xy+x^2y=10 Is this correct answer for this question (-5y-2xy)/(12x)

*Friday, January 6, 2017 by Angie*

**calculus**

find the equation of the tangent line to the graph of -x^2+2y^2+3x=-2 at the points with x-coordinates x=4

*Thursday, January 5, 2017 by angie*

**calculus**

use implicit differentiation to find dy/dx if 5xy+x^2y=10

*Thursday, January 5, 2017 by angie*

**calculus**

Use the definition of derivative: lim(as h approaches 0) (f(x+h)-f(x)/(h) to find f(x)=(1)/(2x).

*Thursday, January 5, 2017 by angie*

**calculus**

f'(-2) if f(x)= g(h(x))^3 Chart x= -3,-2,-1,0,1,2,3 g(x)= 0,1,3,2,0,-2,-3 h(x)= 1,2,0,3,-1,-2,0 g'(x)= 1,2,-1,-2,-2,-1,0 h'(x)= 0,-3,-2,3,-2,0,1

*Thursday, January 5, 2017 by angie*

**Calculus**

Find f'(1) if f(x)=(h(x))^3 Chart: x= -3,-2,-1,0,1,2,3 g(x)= 0,1,3,2,0,-2,-3 h(x)= 1,2,0,3,-1,-2,0 g'(x)= 1,2,-1,-2,-2,-1,0 h'(x)= 0,-3,-2,3,-2,0,1

*Thursday, January 5, 2017 by angie*

**calculus**

f'(-2) if F(x)=g(h(x))

*Thursday, January 5, 2017 by Anonymous*

**Calculus**

How do you find the total distance a particle travels on a given interval on a graph and net distance?

*Thursday, January 5, 2017 by John*

**Calculus**

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 6cm and a height of 12cm, at the rate of 3 cm3/min. At what rate is the depth of the water changing at the instant when the water in the tank is 9 cm deep? Give an exact answer showing...

*Thursday, January 5, 2017 by Ke$ha*

**calculus**

how do i get the answer for this limit limit x to 0 (4^2x-1) without using direct substitution my work so far is limit x to 0= (4^2x-1) = (4^2x/4^-1) is it correct?

*Thursday, January 5, 2017 by Anonymous*

**Calculus**

Two horizontal forces, and , are acting on a box, but only is shown in the drawing. can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the surface. Suppose that = +4.2 N and the mass of the ...

*Wednesday, January 4, 2017 by Xavier*

**math - calculus help!**

An inverted conical tank (with vertex down) is 14 feet across the top and 24 feet deep. If water is flowing in at a rate of 12 ft3/min, find the rate of change of the depth of the water when the water is 10 feet deep. 0.229 ft/min 0.449 ft/min 0.669 ft/min 0.778 ft/min 44.90 ...

*Wednesday, January 4, 2017 by Danni*

**integral calculus**

integrate: [ cos ^ 2 (x) * sin (x) / ( 1 - sin(x) )] - sin (x)

*Monday, January 2, 2017 by jason*

**integral calculus**

Integrate (((cos^2(x)*sin(x)/(1-sin(x)))-sin(x))dx thanks

*Monday, January 2, 2017 by Mycah*

**calculus-add**

(2y-1)dy/dx=(3x^2+1) given that x=1 when y=2 plz show step thanks 2) (a)find the general solution of the equation (x-2)dy/dx+3y(x-1)/(x+1)=1 b)given the boundary condition y=5 when x=-1,find the particular solution of the condition given in (a) a little help would do thanks i ...

*Sunday, January 1, 2017 by ...*

**calculus**

(2y-1)dy/dx=(3x^2+1) given that x=1 when y=2 plz show step thanks

*Sunday, January 1, 2017 by ...*

**integral calculus**

integral of (dx/(coth^2(2x)*sinh^2(2x)) help, thanksss

*Saturday, December 31, 2016 by Mycah*

**calculus help**

the bend moment M of a beam is given by dm/dx=-w(1-x) where w and l are constants.determine M in terms of x given that M=wl^2/2 plz show me working step

*Friday, December 30, 2016 by ...*

**Calculus**

How do I find the limit of x/x as x approaches 0?

*Wednesday, December 28, 2016 by Anonymous*

**calculus**

solve for dy/dx=(x^2+y^2)/xy by substitution. Plz help step

*Wednesday, December 28, 2016 by ...*

**Calculus**

The Question: A particle moves along the X-axis so that at time t > or equal to 0 its position is given by x(t) = cos(√t). What is the velocity of the particle at the first instance the particle is at the origin? So far I was able to determine that the velocity of the ...

*Tuesday, December 27, 2016 by Stephen*

**calculus help me plz too hard show step**

charge Q coulombs at time t seconds is given by the differential equation RdQ/dt+Q/C=0, where c is the capacitance in farafd and R the resistance in ohms.solve the equation for Q given that Q=Qo where t=0 plz show step plz plz plz

*Tuesday, December 27, 2016 by ...*

**calculus too hard**

the velocity of a chemical reaction is given by dx/dx=k(a-x) where x is the amount transfered in time t,k is a constant and a is the condition at time t=0 when c=0 solve the equation and determine x in terms of t? Plz show work plz plz

*Monday, December 26, 2016 by ...*

**Calculus 3**

F(x, y) represents a velocity field of a fluid over a surface S defined by z = 6 − 3x − 2y. If the magnitude of the velocity in the direction of the unit normal vector, n̂, on S is 3z⁄√14, compute the flux of F(x, y) over the surface S in the first octant oriented ...

*Sunday, December 25, 2016 by Help me pls!*

**Calculus**

If y = 2x - 8, find the minimum value of the product of xy. I think this is -8.

*Thursday, December 22, 2016 by Anonymous*

**calculus**

when a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm/min. At what rate is the plate's area increasing when the radius is 60 cm?

*Wednesday, December 21, 2016 by angie*

**calculus**

A 13 foot ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft. from the house, the base is moving at the rate of 10ft./s. How fast is the top of the ladder sliding down the wall then?

*Wednesday, December 21, 2016 by angie*

**calculus**

A Veterinarian has 80 feet of fence and he wants to enclose a rectangular dog-run along the back side of his office building. He will not fence the side along the building. What are the dimensions of the dog-run that give the maximum area he desires?

*Wednesday, December 21, 2016 by angie*

**calculus**

Jen needs to make a flyer for her dog's birthday party. She wants the flyer to contain 40 square inches of printed portion and she wants to use 1 inch of each side as well as 2 inches of top and bottom of the paper for decoration. What size paper should Jen choose in order to ...

*Wednesday, December 21, 2016 by angie*

**calculus**

find the location and values of any global extrema of F(x)= x^3-3x^2-9x on the interval [-2,4] (you must show your work by finding critical points

*Wednesday, December 21, 2016 by angie*

**calculus**

Find two numbers whose product is 16 and whose sum of squares is minimum

*Wednesday, December 21, 2016 by angie*

**calculus**

f(x)=−x3 −x2 +16x+16 1. Calculate f′(x). 2. Calculate f′′(x). 3. Find the x values such that f(x) = 0. Note: this can be done by factoring. 4. Find the stationary point/s. Note: a point requires x and y coordinates. 5. Determine the nature of this/these point/s. 6. ...

*Tuesday, December 20, 2016 by R*

**Pre- calculus**

Change the equation to rectangular coordinates: r= 2(sin theta-cos theta)

*Monday, December 19, 2016 by Meredith*

**pre calculus**

change the equation to rectangular coordinates: r= 2(sin theta -cos theta)

*Monday, December 19, 2016 by Meredith*

**Pre calculus**

in the equation r= 5/(sin theta +2cos theta) the letters r and theta represent polar coordinates. Write the equivalent equation using rectangular coordinates. Thanks :)

*Monday, December 19, 2016 by Meredith*

**pre calculus**

in the equation (x-4)^2+y^2=16 the letters x and y represent rectangular coordinates. Write the equivalent equation using polar coordinates. solve for r

*Monday, December 19, 2016 by Meredith*

**Calculus**

A chemical substance is draining from a conical filtering system at a rate of 100 cubic centimeters per minute into a cylindrical storage tank below. The conical filter and cylindrical tank each have a diameter of 60 centimeters, and the height of the cone also measures 60 ...

*Monday, December 19, 2016 by Luke*

**Calculus**

The horizontal position of an object from a point of origin in meters is modeled by the function x(t)= (1+sin(t))/(2+cos(t)) where t is measured in minutes and 0 is less than or equal to t which is less than or equal to 5. A) show that x(t)= (2cos(t)+sin (t)+1)/(2+cos(t))^2 B...

*Monday, December 19, 2016 by Rodger*

**Calculus Help 3 Questions**

3.The position (feet traveled) of a car is given by the equation s(t)= 4t2 + 4t. Find the time when the car is going the same speed as its average speed over the interval 0 to 10 seconds. A)t=0 B)t=2.5 C)t=5 D)t=10 E)Never 4. Consider the curve given by x2 + sin(xy) + 3y2 = C...

*Sunday, December 18, 2016 by Prince@18*

**Calculus**

Please help me. 1. Use the definition of the derivative to find f'(x), if f(x)=x^-2 2.Find the derivative of y=3t^5 - 5√t + 7/t

*Sunday, December 18, 2016 by Jamie*

**Calculus**

A light on the ground moving at 0.5 m/s approaches a man standing 4 m from a wall. How fast is the tip of the man’s shadow moving when the light is 10 m from the wall?

*Sunday, December 18, 2016 by Anonymous*

**Math, calculus, advanced functions, pre calculus**

An investments value, V(t) is modelled by the function V(t)=2500(1.15)^2, where t is the number of years after funds are invested A) find the instantaneous rate of change in the value of the investment at t=4, what intervals would you choose? Why? My question is ... Which ...

*Saturday, December 17, 2016 by Ruffin*

**calculus**

find the area of the region bounded by the curves f(x)=x-x^3 ; g(x)=x^2-x ; over [0,1]

*Saturday, December 17, 2016 by lis*

**Calculus Finals Review sheet!! Explanation needed**

Here is a graph of the derivative y' of a continuous, differentiable function. For approximately what values of x between Ã¢Ë†â€™5 and 5 does the original function y have inflection points? Find limit as x approaches 3.5 [[x-2]]/x (Remember that [[x]] is the greatest...

*Saturday, December 17, 2016 by Prince@18*

**calculus**

hey can someone help me with these i need help Consider the curve given by x2 + sin(xy) + 3y2 = C, where C is a constant. The point (1, 1) lies on this curve. Use the tangent line approximation to approximate the y-coordinate when x = 1.01. Question 19 options: 0.996 1 1.004 ...

*Saturday, December 17, 2016 by hassan*

**calculus**

can you guys help me with these questions Which of the following could be the units for dy/dx if y is the surface area of a tumor and x is the radius of the tumor? square millimeters per millimeter millimeters per centimeter meters per second gallons per hour meters per radian...

*Saturday, December 17, 2016 by hassan*

**Calculus!! HELP!!**

1) The sides of the triangle shown increase in such a way that (dz/dt=1) and (dx/dt=(3dy/dx)) At the instant when x = 12 and y = 5, what is the value of dx/dt? 2) Let f(x) = x^3 − 4. Which of these is the equation for the normal line to this curve at the point (2,4). A) y=1/...

*Saturday, December 17, 2016 by Prince@18*

**Calculus**

The cost of producing commodity is C(X)=3X^2+4X+8 dollars.If the price is P(X)=(50-X) dollars per unit,determine the level of production that maximizes the profit. ---------- What is the level of production.

*Saturday, December 17, 2016 by Omar E*

**Calculus**

A car traveling 96ft/s begins a negative acceleration at a constant rate of 12ft/s^2. After how many seconds does the car come to a stop? How far will the car have traveled before stopping? Anti-derivatives are involved somewhere in the 2nd part I believe.

*Friday, December 16, 2016 by Nate*

**calculus!**

use the definition of derivative to find d/dx(1/(3-x))

*Friday, December 16, 2016 by anon*

**calculus**

use implicit differentiation to show: d/dx(tan^-1x)=1/(x^2+1)

*Friday, December 16, 2016 by Lauren*

**calculus**

If you are blowing up a balloon at a rate of 3 cubic ft per min, what is the rate of change of the radius after 30 seconds

*Friday, December 16, 2016 by Marty*

**calculus**

A rectangle has an area of A. Find the dimensions that minimize the perimeter. Show that it really is a minimum.

*Thursday, December 15, 2016 by Obie*

**Calculus**

Determine the open intervals on which the graph of f(x) = -7x^2 + 8x + 1 is concave downward or concave upward. The second derivative is just -14, so I don't know what to do with that.

*Thursday, December 15, 2016 by Anonymous*

**Calculus**

Given that f(x)=x^3+ax^2+bx has critical points at x=1 and x=5, find a and b and classify the critical points as maxima, minima, or neither.

*Thursday, December 15, 2016 by Krissy*

**Pre-calculus**

The graph of [r = -5/(2 cos \theta + sin \theta)] is a line. Find the y-intercept of this line.

*Wednesday, December 14, 2016 by Pallav*

**Pre-calculus**

The graph of [r = -5/(2 cos \theta + sin \theta)] is a line. Find the y-intercept of this line.

*Wednesday, December 14, 2016 by Pallav*

**Calculus**

The size of a parcel despatched through the post used to be limited by the fact that the sum of its length and girth (perimeter of the cross section) must not exceed 6 feet. What was the volume of the largest parcel of square cross- section which was acceptable for posting? (...

*Wednesday, December 14, 2016 by Anonymous*

**pre calculus**

can you check my work? find two sets of parametric equations for the given rectangular equation x+y^2=4 x=-y^2+4 y=-t^2 x=-t^2+4 x=-t^3 y=-t^3+4 Find a polar equation of an ellipse with its focus at the pole an eccentricity of e=1/4 and directrix at y=4. answer: √(x^2 + y^2...

*Tuesday, December 13, 2016 by Anonymous*

**Calculus AB**

The position function of a particle in rectilinear motion is given by s(t) = 2t^3 - 21t^2 + 60t + 3 for t ≥ 0. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer. So I've already gotten the ...

*Tuesday, December 13, 2016 by Anon*

**Pre-Calculus**

The cost of sending a package overnight is $14.40 for the first pound and $3.90 for each additional pound or portion of a pound. A plastic mailing bag can hold up to 3 pounds. The cost f(x) of sending a package in a plastic mailing bag is given by the following function, where...

*Monday, December 12, 2016 by Iris*

**Calculus**

the sum of three positive numbers is 40. The first plus three times the second plus four times the third add up to 80. Select the numbers so that the product of all three is as large as possible.

*Monday, December 12, 2016 by Nick*

**Calculus**

Which would be the best option for finding the limit? lim (1-2x-3x^2)/1+x x->-1 A.Direct substitution B.Dividing out technique C.Rationalization technique D.Indeterminate form

*Monday, December 12, 2016 by Sade*

**Pre-Calculus**

Which of the following shows the correct notation for “The limit of x^2 - 1 as x approaches 3. A. lim x^2-1 x->3 B. lim3 x->x^2-1 C. lim(x^2-3) x->x^2-1 D. lim(x^2-1) x->3 Thank you

*Monday, December 12, 2016 by Iris*

**Pre-Calculus**

What is the correct notation for “The limit of x^2 - 1 as x approaches 3? Thank you

*Monday, December 12, 2016 by Iris*

**pre-calculus**

A rectangular box has a perimeter of 50 inches. Find the length and width of the box that would give the maximum area. Find the maximum possible area of the box.

*Monday, December 12, 2016 by Sam*

**pre-calculus**

A rectangular box has a perimeter of 36 inches. Find the length and width of the box that would give the maximum area. e. l = 9, w = 9 f. l = 81, w = 9 g. l = 27, w = 9 h. l = 18, w = 18

*Monday, December 12, 2016 by Sam*

**pre-calculus**

A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w? a. A = 36w - w2 b. A = 18w - w2 c. A = 36 - w2 d. A = 18 - w2

*Monday, December 12, 2016 by Sam*

**Calculus**

(a) Compute the area of the bounded region enclosed by the curve y = e^x, the line y = 12, and the y-axis. (b) How does this area compare with the value of the integral ∫ from 1 to 12 of (ln x dx)? Explain your answer. (A picture may be helpful.)

*Monday, December 12, 2016 by Anonymous*

**Pre-Calculus**

How does the expansion of (x + y)n and (x - y)n differ? If you can offer an example that would be very helpful. Thank you

*Monday, December 12, 2016 by Iris*

**Pre-Calculus**

Find first differences for the sequence in order from a_1 to a_5. Determine whether or not the series is quadratic or not.(I used _ as a sign for a subscript) -1, -3, -1, 5, 15 A. 2, 2, 6, 10; not quadratic B. 2, 2, 6, 10; quadratic C. -2, 2, 6, 10; not quadratic D. -2, 2, 6, ...

*Monday, December 12, 2016 by Sade*

**Calculus**

Find the dimensions of the right circular cone of maximum volume having a slant height of 5 ft. See the figure.

*Monday, December 12, 2016 by Brooke*

**Calculus**

Find a quadratic model for the sequence. -4, -4, -3, -1, 2 A.y = 0.5x^2 - 0.5x - 4 B.y = 0.5x^2 - 1.5x - 3 C.y = 4.5x^2 - 21.5x+21 D.y = -4.5x^2 + 21.4x - 21

*Monday, December 12, 2016 by Sade*

**Calculus**

Find the second difference for the sequence. 7, 6, 7, 10, 15, 22, …. A.1 B.2 C.3 D.5

*Monday, December 12, 2016 by Sade*