Wednesday

December 7, 2016
**pre calculus**

Explain how you sketch a plane curve given by parametric equations? What is meant by the orientation of the curve?

*Wednesday, December 7, 2016 by Anonymous*

**Calculus**

Find the open intervals on which f(x) = -6x^2 + 96x + 7 is increasing or decreasing. a. increasing on (-inf, 16); decreasing on (16, inf). b. increasing on (-inf, 14); decreasing on (14, inf). c. increasing on (-inf, 84); decreasing on (84, inf). d. increasing on (-inf, 56); ...

*Tuesday, December 6, 2016 by Anonymous*

**calculus**

a farmer wants to create pens along side his barn for his chicken ducks and geese. he has 600 ft of fencing and wants to create 2 equal spaces for each species. what is the largest area he could have? Also one side is along a house so no fencing is needed there. the image ...

*Tuesday, December 6, 2016 by shy*

**Pre-Calculus**

Can someone please explain how eccentricity can be used to classify conics.

*Tuesday, December 6, 2016 by Iris*

**Calculus**

Use a graphing utility to graph the polar equation shown below. r = cos 5? + n cos ?, 0 ? ? ? ? For the integers n = -5 to n = 5. As you graph these equations, you should see the graph change shape from a heart to a bell. I'm sorry. I'm having issues with graphing this.

*Tuesday, December 6, 2016 by Iris*

**Applied calculus**

By using appropriate software/programming, sketch the following vector functions: 1) 2cos(2t)i + 2sin(3t)j for t within o to 2pai 2) 16sin^3ti + (13cost - 5cos2t - 2cos3t - cos4t)j for t within 0 to 2pai

*Tuesday, December 6, 2016 by Sn*

**Calculus**

What would the smallest positive integer be for n if: y=sinx and y^(n) means the nth derivative of y with respect to x.

*Tuesday, December 6, 2016 by Emily*

**Calculus**

If f(x)=(x^2+1)^(2-3x), then f'(1) = -3/2ln(2)-1/2 Is this correct?

*Tuesday, December 6, 2016 by Ian*

**Calculus**

If f'(x)=-f(x) and f(1)=1, then f(x) = e^1-x Is this correct?

*Tuesday, December 6, 2016 by Ian*

**Calculus**

If u,v, and w are nonzero differentiable functions, then the derivative of uv/w is what?

*Tuesday, December 6, 2016 by Ian*

**Calculus**

A rectangular tank with a square? base, an open? top, and a volume of 4,000 ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. I'm not understanding how to get started and find the optimization function (for any...

*Monday, December 5, 2016 by Marissa *

**Calculus **

Sinx=e^y , 0 <x <pi, what is dy/dx in terms of x?

*Monday, December 5, 2016 by Erika*

**Calculus **

For what value of k will x+k/x have a relative max at x=-2

*Monday, December 5, 2016 by Erika*

**Pre Calculus**

A flare is launched straight up with a velocity of 200 feet per second. The function h(t)= 200t?16t^2 models the height h(t)of the flare are at time t. How many seconds will it take for the flare to hit the ground?

*Monday, December 5, 2016 by Michelle*

**Calculus**

f(x)=6x^3-4x then d/dx(f(lnx)) =??

*Monday, December 5, 2016 by Ian*

**Calculus**

If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is? I got 1/4 is this correct?

*Monday, December 5, 2016 by Ian*

**Calculus applications**

The bending moment (M) along a beam is M = WLx/2 -Wx2/2 kNm where x is the distance of a beam length L from the left hand end. W is the weight per unit length. (a) Shear force is calculated as the differential of bending moment. Find an expression for shear force and determine...

*Monday, December 5, 2016 by Scott*

**Calculus 1**

In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25

*Monday, December 5, 2016 by Ravi Shankar*

**Calculus 1**

In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25

*Monday, December 5, 2016 by Dhrupal Patel*

**pre calculus**

Find the equation of a Parabola with Vertex: (2,-1) and directrix: x= -2

*Monday, December 5, 2016 by Anonymous*

**Calculus 1**

In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25

*Monday, December 5, 2016 by Dhrupal Patel*

**Calculus 1**

In the problem, x and y are differentiable functions of t. Find dx/dt when x = 9, y = 2, and dy/dt= 2. x^3y^2 = 2916

*Monday, December 5, 2016 by Dhrupal Patel*

**Calculus applications**

6. The bending moment (M) along a beam is M = WLx/2 -Wx2/2 kNm where x is the distance of a beam length L from the left hand end. W is the weight per unit length. (a) Shear force is calculated as the differential of bending moment. Find an expression for shear force and ...

*Monday, December 5, 2016 by Thomas*

**math **

Eldon received 72 on his first calculus test. The marks were normally distributed with a mean of 60 and a standard deviation of 8. He received 80 on the next test, which was normally distributed with a mean of 75 and a standard deviation of 6. Which was the better mark, ...

*Sunday, December 4, 2016 by josh*

**pre calculus**

use matrices to solve the system of equations , if possible 2x+3y+z=10 2x-3y-3z=22 4x-2y+3z=-2

*Sunday, December 4, 2016 by Anonymous*

**Calculus**

A car travelling at 50 kilometers per hour crosses a bridge over a river 10 minutes before a boat travelling at 40 kilometers per hour passes under the bridge. The river and the bridge are straight and at right angles to each other. At what rate are the car and the boat ...

*Sunday, December 4, 2016 by Harra*

**Calculus**

A man on a wharf is pulling in a boat by means of a rope attached to the bow of the boat 1 meter above water level and passing through a simple pulley located on the dock 8 meters above water level. If he pulls in the rope at the rate of 2 meters per second, how fast is the ...

*Sunday, December 4, 2016 by Harra*

**Calculus**

A stone is dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2 meters per second. How rapidly is the area enclosed by the ripple increasing at the end of 20 seconds?

*Sunday, December 4, 2016 by Harra*

**Calculus**

A man 1.69 meters tall is walking towards a building at the rate of 1.5 meters per second. If there is a light on the ground 15 meter from the building, how fast is the man's shadow on the building growing shorter when he is 5 meters from the building.

*Sunday, December 4, 2016 by Harra*

**Calculus**

A ladder 15 meters long leans against a vertical wall. If the foot of the ladder is being pulled away from the wall at the rate of 2 meters per minute. How fast is the top of the ladder sliding down the wall at the instant when the foot of the ladder is 12 meters from the wall.

*Sunday, December 4, 2016 by Harra*

**pre calculus**

use matrices to solve the system of equations , if possible. 2x+y+2z=4 2x+2y=5 2x-y+6z=2

*Sunday, December 4, 2016 by Anonymous*

**Pre-calculus**

Convert cartesian equation to polar form 1. x^2+y^2=4x 2. (x^2+y^2)^2=6(x^2-y^2)

*Sunday, December 4, 2016 by Liv*

**calculus**

if f(x) = (x-2)^(1/3) use Tylor's polynomial of degree two about c=3 to estimate the value of (1.36)^(1/3) thanks

*Sunday, December 4, 2016 by danial*

**Pre-Calculus**

Given: r = 4/(-2-6sin?) What is the distance between the pole and the directrix? A. 2 B.2/3 C.3 D.6

*Saturday, December 3, 2016 by Sade*

**Calculus **

Can someone help find limit using l'hopital rule lim x ? ? ((3x-4)/(3x+2))^(3x+1), I'm trying to solve by adding ln function to both side.

*Saturday, December 3, 2016 by Po*

**Calculus**

Given: r = 4/(-2-6sin?) What is the eccentricity of the function? A. 2 B. -2 C. 3 D. -3

*Saturday, December 3, 2016 by Sade*

**Calculus**

Given: 5cos6? What is the shape of the function? A. Limacon B. Rose C. Lemniscate D. Circle

*Saturday, December 3, 2016 by Sade*

**Math - Calculus**

The region in the first quadrant bounded by y=6x^2 , 2x+y=8, and the y-axis is rotated about the line x=-1. The volume of the resulting solid is: Please help me set up the integral for this one, I'm not sure how to do it. I've tried ?[-4/3,1] pi (8-2x-1)^2-(6x^2-1)^2 ...

*Friday, December 2, 2016 by Anon*

**Pre-Calculus**

Convert to Rectangular: r*tan theta/sec theta=2 A. y=2 B. y=1/2 C. x=2 D. x=1/2

*Friday, December 2, 2016 by Sade*

**Calculus**

Convert to Polar: y/x = 4 A. r = 2 B. r = 16 C. ? = 76 D. Undefined

*Friday, December 2, 2016 by Sade*

**Calculus**

convert to polar: 2xy=3 A. r=sqrt(3sin theta cos theta) B. r=sqrt[(3sin theta cos theta)/2] C. r=[3/(2sin theta cos theta)] D.This cannot be converted without ambiguity.

*Friday, December 2, 2016 by Sade*

**Pre-Calculus**

Convert to rectangular: 4=4sec theta A. y=2 B. y=4 C. x=2 D. x=4

*Friday, December 2, 2016 by Iris*

**Pre-Calculus**

Convert to rectangular: theta=(2pi)/3 A. y=-sqrt3 B. y=-sqrt3x C. x=sqrt3 D. x=-sqrt3y

*Friday, December 2, 2016 by Iris*

**Calculus**

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=6x^2, x=1, y=0, about the x-axis

*Friday, December 2, 2016 by Anonymous*

**Calculus**

The region in the first quadrant bounded by y=6x^2 , 2x+y=8, and the y-axis is rotated about the line x=-1. The volume of the resulting solid is:

*Friday, December 2, 2016 by Anonymous*

**Calculus - Integrals**

The region bounded by y=x^2, x=y^2 is rotated about the line y=-3. The volume of the resulting solid is:

*Friday, December 2, 2016 by Anonymous*

**Calculus**

Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=18-x, y=3x-6 and x=0 about the y-axis V=

*Friday, December 2, 2016 by Anonymous*

**Calculus**

The region R is in the first quadrant and bounded by the x-axis, the y axis, and y= 3+2x-x^2. Find the volume of the solid that results when R is revolving about y+1= 0

*Friday, December 2, 2016 by Anonymous*

**Calculus**

Find the volume of the solid generated by revolving the region in the first quadrant that is above the parabola y= 4x^2 and below the parabola y= 45-x^2 about the y-axis I just need help setting up the integral. V=?[0,3]2pix(45-x^2)dx What am I doing wrong?

*Friday, December 2, 2016 by Jamie*

**Calculus**

The semicircular region bounded by the curve x=sqrt{9-y^2} and the y-axis is revolved about the line x=-3. The integral that represents its volume is V= âˆ« [a^b] f(y) dy What is f(y)? I've gotten f(y) to: (1+(sqrt(9-y^2)))^2-9 But it's not being ...

*Friday, December 2, 2016 by Anonymous*

**Calculus - Integrals**

Find the volume of the solid of revolution obtained by revolving region bounded by the parabolas 2y=x^2 and y^2=4x about the x-axis

*Friday, December 2, 2016 by Anonymous*

**Calculus**

Find the volume of the solid of revolution obtained by revolving the plane region R bounded by y= x^5, the y-axis, and the line y=3 about the x-axis So far: y=x^5 is equal to x=5th root y. I've plugged that in to pi(r^2)h, and got V = pi ?[0,3] y^(2/5) dy. so far I've ...

*Friday, December 2, 2016 by James*

**Calculus**

Find the area of the region enclosed between y=4sin(x) and y=2cos(x) from x=0 to x=0.7pi. Hint: Notice that this region consists of two parts.

*Friday, December 2, 2016 by Jamie*

**Calculus**

Find the area of the region in the first quadrant between the curves y=x^8, and y=2x^2-x^4

*Friday, December 2, 2016 by Anon*

**deferential calculus**

a woman is walking at the rate of 5 feet per second along the diameter of a circular courtyard. a light at one end of a diameter perpendicular to her path casts a shadow on the circular wall. how fast is the shadow moving along the wall when the distance from the woman to the ...

*Thursday, December 1, 2016 by clyde*

**Integral Calculus**

We can use this power series to approximate the constant pi: arctan(x) = (summation from n = 1 to infinity) of ((-1)^n * x^(2n+1))/(2n+1) a) First evaluate arctan(1) without the given series. (I know this is pi/4) b) Use your answer from part (a) and the power series to find a...

*Thursday, December 1, 2016 by Matt*

**Calculus**

A ballast is dropped from a stationary hotair balloon that is hovering at an altitude of 500 ft. The velocity of the ballast after t sec is -32t ft/sec. a) Find the height h(t) of the ballast from the ground at time t. Hint: h'(t) = -32t and h(0) = 500. h(t) = 500 - 16t^2 ...

*Thursday, December 1, 2016 by Debra*

**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 Srivani*

**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 maximum...

*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 •...

*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 a ...

*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 = ? 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 d...

*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 ?/2 ?i = ?1 cis ?/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*