# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

**Calculus**

Let F(x) = 0∫x e^(t^2)dt a) Compute limx → ∞ (xF(x))/ (e^(x^2)) b) Compute limx → 0 F(x)/(xe^(x^2))

*Thursday, December 1, 2016 by ss2734*

**calculus**

Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. Find all values of x where the graph of g has a critical value. For each critical value, state whether the graph of g has a local ...

*Thursday, December 1, 2016 by Anonymous*

**Calculus 1**

If each edge of a cube is increasing at the constant rate of 4 cm/s. How fast is the volume of the cube increasing when the length x of an edge is 11 cm long?

*Thursday, December 1, 2016 by Dhrupal Patel*

**Calculus**

Find all values of c that satisfy the Mean Value Theorem for f(x) = x^3 + 1 on [2, 4].

*Wednesday, November 30, 2016 by Anonymous*

**Pre-Calculus**

Convert to rectangular: theta=2pi/3

*Wednesday, November 30, 2016 by Iris*

**Math -Calculus**

Hi, I need help with the problem: "Use a definite integral to find the area of the region under the curve y=6-4x^2 and above the x-axis". I keep getting stuck at 6x-(4x^3/3). Thanks!!

*Wednesday, November 30, 2016 by Gabby*

**Pre-Calculus**

Which are examples of the use of parametric equations? A. Position of a person on a ferris wheel. B. Position of a ball after being thrown. C. A and B D. Neither A nor B

*Wednesday, November 30, 2016 by Iris*

**Pre-Calculus**

Which is the best example of the use of parametric equations? A. Measuring weight on the moon. B. Finding the position of a person in a city. C. Determining the position of a satellite during a specific time of day. D. Finding the right parameters to use for a construction ...

*Wednesday, November 30, 2016 by Iris*

**Calculus**

For which pair of functions f(x) and g(x) below will the lim(x->infinity) f(x)g(x)≠0 a)f(x) = 10x + e^-x; g(x) = (1/5x) b)f(x) = x^2; g(x) = e^-4x c)f(x) = (Lnx)^3; g(x) = 1/x d)f(x) = √x; g(x) = e^-x

*Wednesday, November 30, 2016 by anon*

**Calculus**

If f(x) is differentiable for the closed interval [−1, 4] such that f(−1) = −3 and f(4) = 12, then there exists a value c, −1< c < 4 such that a)f'(c)=3 b)f'(c)=0 C)f(c)=-15 d)f(c)=3 I understand that you are supposed to use the mean value theorem, but i dont ...

*Wednesday, November 30, 2016 by Miguel*

**pre calculus**

can you check this question? An object moving vertically is at the given heights at the specified times. Find the position equation s = at^2 + v0t + s0 for the object given the following conditions. •At t = 1 seconds, s = 48 feet •At t = 2 seconds, s = 64 feet •At t = 3 ...

*Wednesday, November 30, 2016 by Anonymous*

**Calculus 1**

Water is flowing into a vertical cylindrical tank of diameter 4 m at the rate of 2 m3/min. Find the rate at which the depth of the water is rising. (Round your answer to three decimal places.)

*Wednesday, November 30, 2016 by Dhrupal patel*

**Calculus 1**

If each edge of a cube is increasing at the constant rate of 4 cm/s. How fast is the volume of the cube increasing when the length x of an edge is 11 cm long?

*Wednesday, November 30, 2016 by Dhrupal patel*

**Calculus MATH**

Problem statement a) Suppose f(x) is defined on 0 ≤ x ≤ 1 by the following rule: f(x) is the first digit in the decimal expansion for x. For example, f(1/2) = 5 and f(0.719) = 7. Sketch the graph of y = f(x) on the unit interval with appropriate scales for x and for y. Use...

*Wednesday, November 30, 2016 by JIN*

**Calculus**

Consider the function f(x) = {0, x = 0 and 1 - x, 0 <= x <= 1}. Which of the following statements is false? a. f is differentiable on (0, 1). b. f(0) = f(1) c. f is continuous on [0,1] d. The derivative of f is never equal to zero on the interval (0,1). B and D are true...

*Wednesday, November 30, 2016 by Anonymous*

**Calculus AB**

Please help me with this WS 1) Find the value of lim as x-->-(square root of 3) of (-x^4 + 5x^2 -6)/(x+(square root of 3) 2) Find the distance between the discontinuities of g(x)= ((square root of x-4))/(x^2 -5x -1) 3)Find the value of x at which the curve y=(x^2 - 4)/(x^5...

*Wednesday, November 30, 2016 by Annie*

**Calculus**

Which of the following functions does not satisfy the conditions of the Mean Value Theorem on the interval [-1, 1]? a. 5th root of x b. 2x arccosx c. x/(x - 3) d. sqrt(x + 1)

*Wednesday, November 30, 2016 by Anonymous*

**Integral Calculus**

Volume of the area bounded by y=sin(x), x-axis, x is greater than or equal to 0 but less than or equal to pi, revolved about x=3pi/2.

*Wednesday, November 30, 2016 by Alexa*

**pre calculus**

Use Gaussian elimination to write the system of equations given below in row-echelon form. 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6

*Wednesday, November 30, 2016 by Anonymous*

**Calculus**

For what values of the constants a and b is (1,3) a point of inflection of the curve y=ax^3+bx^2?

*Tuesday, November 29, 2016 by Ben*

**Calculus**

a projectile is fired vertically upward from ground level with a velocity of 1600 ft/sec. If air resistance is neglected, find its distance s(t) above ground at time t. What is its maximum height?

*Tuesday, November 29, 2016 by John*

**pre-calculus**

A.) A Ferris wheel has a radius of 32 feet and completes one revolution every 5.4 minutes. What is the speed of the Ferris wheel (in radians per minute)? _______radians per minute B.) A Ferris wheel has a radius of 39 feet and travels 5.6 feet every second. What is the speed ...

*Tuesday, November 29, 2016 by Keira*

**pre calculus**

Use Gaussian elimination to write the system of equations given below in row-echelon form 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6

*Tuesday, November 29, 2016 by Anonymous*

**Pre-Calculus**

Can you please give and example of a hyperbola and ellipse with the same vertices and center that I can graph? Then explain the similarities and differences between the graphs.

*Tuesday, November 29, 2016 by Iris*

**Pre-Calculus**

given: ((x-2)^2/9)+((y-4^2/16)=1 what is the major axis?

*Tuesday, November 29, 2016 by Iris*

**pre calculus**

solve 2x + y = 8 4x + 2y = 16

*Tuesday, November 29, 2016 by Anonymous*

**Calculus**

The number of people expected to have a disease in t years is given by y(t) = A.3^(t/a) (i) If now (year 2016) the number of people having the disease is 1000, find the value of A. (ii) How many people are expected to have the disease in five years? (iii) When are 100,000 ...

*Tuesday, November 29, 2016 by Muhammad*

**pre calculus**

Create systems of equations in two variables that have (a) no solution, (b) one distinct solution, and (c) infinite solutions. Show that each system has the indicated number of solutions by using a graph or solving the system.

*Tuesday, November 29, 2016 by Anonymous*

**pre calculus**

Describe the advantages and disadvantages of The method of substitution”, “The method of graphing”, and “The method of elimination” of solving systems of equations

*Tuesday, November 29, 2016 by Anonymous*

**Calculus**

A particle moves along the x-axis so that at any time t, measured in seconds, its position is given by s(t) = 5cos(t) − sin(3t), measured in feet. What is the acceleration of the particle at time t = π seconds?

*Tuesday, November 29, 2016 by Jonathan*

**Calculus**

The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for 1 ≤ t ≤ e? a)1 b)e c)e-1 d)1/(e-1)

*Tuesday, November 29, 2016 by Jonathan*

**Calculus**

The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 60t − 1.5t^2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop? a)60 sec b)40 sec c)20 sec...

*Tuesday, November 29, 2016 by Jonathan*

**Calculus**

A particle moves with velocity function v(t) = 2t^2 − 3t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 2 seconds. a)3/4 feet per second^2 b)-1 feet per second^2 c)32 feet per second^2 d)5 feet per second^2

*Tuesday, November 29, 2016 by Jonathan*

**Calculus**

A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t)=(t)In(2t). Find the acceleration of the particle when the velocity is first zero. a)2e^2 b)2e c)e d)None of these Any help is greatly appreciated

*Tuesday, November 29, 2016 by Jonathan*

**Math (Calculus) (Related Rates)**

A boat pulls away from a dock at 2 m/s, but the operator has neglected to remove the tow rope used to pull the boat up to the dock. This rope runs thru a pulley which is attached to the dock at a point 1 m higher than the point at which the rope is attached to the boat. A) How...

*Tuesday, November 29, 2016 by Ray*

**Math (Calculus) (Related Rates)**

A boat pulls away from a dock at 2 m/s, but the operator has neglected to remove the tow rope used to pull the boat up to the dock. This rope runs thru a pulley which is attached to the dock at a point 1 m higher than the point at which the rope is attached to the boat. A) How...

*Monday, November 28, 2016 by Ray*

**calculus need help studying now**

find the point of coordinates of the point of inflexion on the curves (a):y=(x-2)²(x-7) (b) y=4x^3+3x²-18x-9 plz i tried my best and i got(11/6, -31/216) but keep saying am wrong

*Monday, November 28, 2016 by ...*

**pre calculus**

A small fast food restaurant invests $4000 to produce a new food item that will sell for $3.50. Each item can be produced for $2.15. How many items must be sold in order to break even? Round to the nearest item.

*Monday, November 28, 2016 by Anonymous*

**Math (calculus) (optimization)**

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize cost. I got as far as ...

*Sunday, November 27, 2016 by Ray*

**pre calculus**

Find all of the solutions of the equation x4-625i=0 and represent the solutions graphically. what is the next step to answer the question? (x^2-25√i)(x^2+25√i) (x-5∜i)(x+5∜i)(x-5∜i i)(x+5∜i i) i = 1 cis π/2 ∜i = ∜1 cis π/8

*Sunday, November 27, 2016 by Anonymous*

**pre calculus**

How do you use de Moivre's formulas to find ∜i?

*Sunday, November 27, 2016 by Anonymous*

**Math (calculus) (mean values)**

A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months. s(t)=155(7-9/(2+t)) a) Find the average rate of change of s(t) during the first year. Which my answer was 1395/28 b) During what month of the ...

*Sunday, November 27, 2016 by Ray*

**Calculus**

I am working on a regression model , if my residuals don't exceed 0.6 does that mean this model is OK for my data?,

*Saturday, November 26, 2016 by Michelle♡♡*

**Calculus**

The base of a solid is the circle x2 + y2 = 9. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid? 36 sqrt 3 36 18 sqrt 3 18 The answer isn't 18 sqrt 3 for sure.

*Saturday, November 26, 2016 by Muhammad*

**pre calculus**

Find all of the solutions of the equation x^4-625i=0 and represent the solutions graphically.

*Saturday, November 26, 2016 by Cain*

**pre calculus**

Use the information to solve the triangle. If two solutions exist find both. 1.A=36°, B=98°, c=16 2.a=4, b=8, c=10 3.A=35°, b=8, c=12

*Saturday, November 26, 2016 by Adam*

**Calculus**

Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1 plus the square root of x, the y-axis, and the line y = 3 about the line y = 5.

*Saturday, November 26, 2016 by Muhammad*

**calculus**

your friend left his home 2 hours ago and cycles due north at 30 km/h. you have been cycling due west at 20 km/h and arrives at his home now. At what time were the two of you closest to each other?

*Saturday, November 26, 2016 by Help please!!!*

**Calculus**

I am working on a regression model , if my residuals don't exceed 0.6 does that mean this model is OK for my data?,

*Saturday, November 26, 2016 by Michelle♡♡*

**pre calculus**

find (a)2v+u, (b)u-3v), and (c)5u-v. 1.u=i-j, v=6i+9j 2.u=2i+3j, v=-i-2j

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

find (a)2v+u, (b)u-3v), and (c)5u-v u=<-2,-3> v=<-1,-10>

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

Forces with magnitudes of 250 pounds and 130pounds act on an object at angles 45degrees and -60degrees respectively with the positive axis. Find the direction and magnitude of the resultant of these forces.

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

Find the component form and magnitude of the vector w that has initial point(-8,-12) and terminal point (4,1)

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

A triangular parcel of land has borders of lengths 55 meters, 85 meters, and 100 meters. Find the area of the parcel of land.

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

find (a)2v+u, (b)u-3v, and (c)5u-v u=<0,-4>, v=<-2,-8>

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

Write the complex number 100(cos240°+ i sin240°) in standard form.

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

Write the complex number z=-2+2i in trigonometric form.

*Saturday, November 26, 2016 by Anonymous*

**AP Calculus**

I am doing the 100 meter men's freestyle swimming lab (in case you know what I am referring to) and I need to fibd the lower limit analytically. I am given a table of data containing the years after 1900 and the time in second of each country , for example: Time. Country. 55.4...

*Saturday, November 26, 2016 by Mary*

**pre calculus**

ea + bi = ea(cos b + i sin b) This formula gives rise to the equation eπi + 1 = 0. . Show how Euler’s formula can be used to derive this equation.

*Saturday, November 26, 2016 by Anonymous*

**pre calculus**

how do you use e^a+bi = e^(cos b + i sin b) to derive the equation eπi + 1 = 0

*Saturday, November 26, 2016 by Anonymous*

**calculus**

A rocket has been launched from Russia International Terminal towards the point (√tk, 〖te〗^k, k) at a speed 2000 feet/second. What is the position of the rocket after half an hour?

*Saturday, November 26, 2016 by afiqah*

**Differential calculus**

reservoir has the shape of a right-circular cone. The altitude is 10 feet, and the radius of the base is 4 ft. Water is poured into the reservoir at a constant rate of 5 cubic feet per minute. How fast is the water level rising when the depth of the water is 5 feet?

*Saturday, November 26, 2016 by Mohammed*

**Calculus**

Find dz/dy for the following : z=(e^xy)+2ycos(xy-1)

*Saturday, November 26, 2016 by Muhammad*

**Differential calculus**

A ladder 20 ft long leans against a vertical wall, If top slides downward at the rate of 2 ft/sec, find how fast the lower end is moving when it is 16 ft from the wall.

*Saturday, November 26, 2016 by Mohammed*

**Calculus**

Determine the relative extremum for the function , f(x,y)=((x^2)+(y^2))(e^-x)

*Saturday, November 26, 2016 by Muhammad*

**Differential calculus**

A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward the building at the rate of 5 ft/sec. Find the rate at which the length of his shadow is changing when he is 15 ft from the building.

*Saturday, November 26, 2016 by Mohammed*

**Differential calculus**

Find the most economical proportions for a covered box of fixed volume whose base is a rectangle with one side three times the other.

*Saturday, November 26, 2016 by Mohammed*

**Differential calculus**

A piece of wire of length 2 m. is cut into two parts, one of which is bent into the shape of a square and the other into a shape of a circle. How should the wire be cut so that sum of the enclosed areas is minimum.

*Saturday, November 26, 2016 by Mohammed*

**Calculus**

Find dz/dy for the following : xln(1-2y) = zsin((x^2)z)-3y+z

*Saturday, November 26, 2016 by Muhammad*

**Calculus AB**

Could someone please help me with these tangent line problems? 1) Find the equation of the line tangent to the given curve at the indicated point: 3y^3 + 2x^2 = 5 at a point in the first quadrant where y=1. 2) Show that there is no point on the graph of x^2 - 3xy + y^2 = 1 ...

*Friday, November 25, 2016 by Annie*

**Calculus**

The base of a triangle is decreasing at the rate of 2 cm/ min and the height is increasing at the rate of 1cm/ min. Find the rate at which the area is changing when the base is 8 cm and the height is 6 cm. Is the area increasing or decreasing at that moment?

*Friday, November 25, 2016 by Muhammad*

**Calculus application of sin function**

a horizontal position of the pendulum of a grandfather clock can be modelled by h(t)=Acos(2(pi)t/T), where A is amplitude of the pendulum in meters, t is time in seconds, and T is the period of the pendulum, in seconds. If the pendulum has a velocity of v(t)=sin Pi(t) find: A...

*Friday, November 25, 2016 by Matt*

**calculus**

Find the area of the region cut from the first quadrant by the curve r=2(2-sin2ɵ)½

*Friday, November 25, 2016 by Saud*

**Calculus**

Find the local maximum and minimum values of the following curve within the given domain. y=SECx-TANx 0 ≤ x ≤ 2π

*Thursday, November 24, 2016 by matt*

**Calculus - Optimization**

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 38 feet?

*Thursday, November 24, 2016 by Kid*

**Calculus applications**

A steel factory wishes to make a cylindrical container, of thin metal, to hold 100cm³, using the least possible area of metal. If the outside surface is S cm² and the radius is r cm, show that S = 2πr² + 200r-1 and hence find the required radius and height for the ...

*Thursday, November 24, 2016 by Thomas*

**help me calculus**

Convert the rectangular equation to an equation in (a) cylindrical coordinates and (b) spherical coordinates. 4(x^2 + y^2) = z^2

*Thursday, November 24, 2016 by .*

**Calculus**

determine all asymtote(s) of f(x)= 1/(x(x-1)^2) using limits

*Wednesday, November 23, 2016 by matt*

**Calculus**

find the point(s) of inflection on the function f(x)= 10x + 10/x

*Wednesday, November 23, 2016 by matt*

**Calculus**

Find the biggest value of c that satisfy the Mean Value Theorem for integrals for f(x)= 1/(x+1)^6 on the interval [0,7]

*Wednesday, November 23, 2016 by Anon*

**Calculus**

Find the average value of the function defined by f(x)= x^2 sin 3 x^3 on the interval [0, 3rd Root (pi)]

*Wednesday, November 23, 2016 by Abby*

**Calculus**

An object at the origin at time t= 0 has velocity measured in meters per second, v(t) = t/30 if 0 <= t <= 90 = 3 if 90 < t <= 108 = 9-(t/30) if 180 < t When, if ever, does the object return to the origin? t=

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 9xzj + exyk, C is the circle x2 + y2 = 1, z = 3.

*Wednesday, November 23, 2016 by Anon*

**Calculus**

A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 2xyj + 3y2k. Find the work done.

*Wednesday, November 23, 2016 by Anon*

**pre calculus**

can you please explain what steps you take to find ||u||2 when u: <-1,7> v: <6,4>?

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Can you explain how to find (u • v)(u + v) when u <-1, 7> and v <4, -3>

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [-3, 3]

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

If f(x) = integrate t^2 from x to x^2, then f'(x)= f'(-1)= Please help! I have no idea how to approach this.

*Wednesday, November 23, 2016 by Anonymous*

**Calculus - fundamental theorems**

d/dx integral e^t^2 dt from 1 to x^3 Please help. I think I'm supposed to use substitution for the x^3 and then apply the chain rule but I'm not sure how to do that.

*Wednesday, November 23, 2016 by Adam*

**Calculus - Fundamental Thm of Calc**

Suppose F(t) is an antiderivative of t^{3}. Then F'(t)= t^3. According to the Second Fundamental Theorem of Calculus, x ∫ (t^3)dt = ??? 1 Answer using the function F

*Wednesday, November 23, 2016 by James*

**calculus**

how do you work out what ||u||2 is when you are given u:<-1,7> and v:<6,4>

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Given: u <-1, 7> and v <4, -3> Find: (u • v)(u + v) ________________________________________ <25, 100> <-25, 100> <-75, -100> <75, -100>

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is the projection of u onto v?

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||v||2?

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||u||2?

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

The radius of a conical tank is 2.7 meters and the height of the tank is 4.3 meters. Water is flowing into the tank at a constant rate of 59.5 m3/minute. At the instant the the depth of the water is 0.6 meters, answer the following: (A) At what rate is the depth of the water ...

*Wednesday, November 23, 2016 by Anon*

**calculus**

Find the domain of the vector-valued function. r(t) = sin ti + 4 costj + tk plz help me working

*Wednesday, November 23, 2016 by ....*

**Calculus**

The number of people expected to have a disease in t years is given by y(t)=A•3^(t/4) i) if now year(2016) the number of people having disease is 1000, find the value of A? ii) how many people expected to have the disease in five years? iii) when are 100,000 people expected ...

*Wednesday, November 23, 2016 by Shah*

**Differential calculus**

Sketch the graph of the curve y=(x-2)(x+1)(x+3)

*Wednesday, November 23, 2016 by Mohammed*

**calculus help**

Find an equation in cylindrical coordinates for the rectangular equation. y^2 = x

*Tuesday, November 22, 2016 by ....*