Monday

November 30, 2015
**Calculus**

solve the differential equation dy / dx = 11x^2y^2 with the condition that y(0) = 4 The solution to the equation is y =
*Wednesday, November 26, 2014 by Anonymous*

**Brief Calculus**

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to four significant digits.) Enclosed by y = e^x, y = 2x + 1, x = −2...
*Tuesday, November 25, 2014 by Matt*

**Calculus**

5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)
*Tuesday, November 25, 2014 by Hailey*

**Calculus**

2) If f(x)=∫t^2dt not he integral from 4 to x^3 then f′(x)=?
*Tuesday, November 25, 2014 by Hailey*

**Calculus**

20) Evaluate the definite integral. On the integral from e to e^3 ∫dx/xl(nx)^(1/2)
*Tuesday, November 25, 2014 by Hailey*

**Calculus**

The sales of Universal Instruments in the first t years of its operation are approximated by the function S(t) = t 0.96t2 + 25 where S(t) is measured in millions of dollars. What were Universal's average yearly sales over its first 5 years of operation?
*Tuesday, November 25, 2014 by Kathleen*

**calculus**

A) Determine the vector equation of the plane that contains the following two lines: l1: vector r= [4,-3,5] + t[2,0,3], tER l2: vector r= [4,-3,5] + s[5,1,-1], sER b)Determine the corresponding Cartesian equation.
*Monday, November 24, 2014 by Sarah*

**math calculus**

if i,j,k are the standard unit basic vectors, in 3 space, determine the value of k dot(j-3k)+(i-4k) dot (i-4k)-8 |i cross -k| (Simplify without using components)
*Monday, November 24, 2014 by Tina*

**calculus**

(i know i've asked so many questions. i just want to make sure my answers are right for this homework! hopefully it isn't too annoying for you :) ) Find the derivative of the given function. y=(tan^-1)√(3x) A. (1)/(√(1-3x)) B. (1)/(6√(3x(1+3x))) C. (3...
*Monday, November 24, 2014 by kailey*

**calculus**

Me again. One last question! Again, just needed my answer verified with any explanation or walk-through. The position of a particle moving along a coordinate line is s=√(3+6t) with s in meters and t in seconds. find the particle's acceleration at t=1 second. a. 1 m/...
*Monday, November 24, 2014 by kailey*

**Calculus**

What does y'' mean in calculus? Is there a word for it? Also is there a word for f'(x)? Thanks.
*Monday, November 24, 2014 by anonymous*

**calculus**

hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
*Monday, November 24, 2014 by kailey*

**calculus**

hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time. y=(x^2)-6x+10 a. at x=3 b. at x=0 c. at x=1 d. at x=-3 my answer was D. thanks again!
*Monday, November 24, 2014 by kailey*

**Brief Calculus**

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = −x and y = −x^3 for x in [−1, 1]
*Monday, November 24, 2014 by Matt*

**Calculus**

11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx
*Monday, November 24, 2014 by Hailey*

**Calculus**

10) Evaluate the integral by making the given substitution. ∫sec(5x)tan(5x)dx u=5x
*Monday, November 24, 2014 by Hailey*

**Calculus**

9)Evaluate the indefinite integral. ∫x^8e^(x^9)dx
*Monday, November 24, 2014 by Hailey*

**Calculus**

6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx
*Monday, November 24, 2014 by Hailey*

**Calculus**

5) Evaluate the definite integral. On the integral from 1 to e^7 ∫dx/x(1+lnx)=?
*Monday, November 24, 2014 by Hailey*

**Calculus**

4) On the integral from 1 to 2 ∫(4x^2+4)/x^2dx =?
*Monday, November 24, 2014 by Hailey*

**Calculus**

2) If f(x)=∫t^2dt on the interval from 4 to x^3 then f′(x)=?
*Monday, November 24, 2014 by Hailey*

**Calculus**

h(t)= -16t^2 + v0t. How fast is the object moving after 5 seconds?
*Sunday, November 23, 2014 by Tamara*

**Calculus**

Use Riemann sums and limits to compute the area bounded by f(x) = 10x+9 and the x axis between x=10 to x =5 The area is = to
*Sunday, November 23, 2014 by Anonymous*

**Calculus**

Find the x-values of all points where the function below has any relative extrema. Find the values(s)of any relative extrema. G(x)=(x-3)^2/x-4. How do I solve this?
*Sunday, November 23, 2014 by Duane*

**Calculus**

Find the volume of the solid obtained by rotating the region bounded by the curves: 2x = -y^2 y^2 = -x + 2 y = 0 for y >= 0 about the x-axis. Not sure how to do this one, could anybody help me identify what this looks like and how to identify the outer/inner radius? Thanks
*Sunday, November 23, 2014 by Joshua*

**Calculus**

Find the volume of the solid obtained by rotating the region bounded by the curves: y = x^2 and x = y^2 about the line y = 1. I received the answer pi/30, using the outer radius of (1 - x^2) and the inner radius of (1 - x^(1/2)). Is this correct?
*Sunday, November 23, 2014 by Joshua*

**Calculus**

For f(x)= (x+3)^2/(4x-5) find all x such that f(x) increases.
*Saturday, November 22, 2014 by Lucy*

**Calculus**

Of the infinitely many lines that are tangent to the curve y = −7 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
*Thursday, November 20, 2014 by Laura*

**Pre Calculus**

The logistic growth function P(t)= 160/ 1 + 9e^-0.165t describes the population of the endangered species of elk "t" years after they were introduced into the habitat. a. How many elk were initially introduced into the habitat? b. How many elk are expected after 6 ...
*Thursday, November 20, 2014 by Brianna*

**Pre Calculus**

If a 25 mg sample of radioactive material decays to 18.4 mg in 5 years, how long will it take the sample to decay to 20.5 mg?
*Thursday, November 20, 2014 by Brianna*

**Pre Calculus**

You invest $4500 into an account that earns 6.5% interest compounded monthly. How long will it take for the account to double in its value?
*Thursday, November 20, 2014 by Brianna*

**Pre Calculus**

The population of a city is 127,000 and is decreasing by 2.4% each year. a. What will the population be in 10 years? b. Find when the population will be 95,000
*Thursday, November 20, 2014 by Brianna*

**Pre-Calculus**

Suppose person A collaborated with person B, who has collaborated with person C, who has collaborated with Paul Erdös. Suppose also that person B never collaborated with Paul Erdös and person A never collaborated with anyone with an Erdös number of 1 or less. ...
*Thursday, November 20, 2014 by TeeKay*

**Calculus Please check**

Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,-1), and the partal derivative of y (1,-1). f(x,y) = x^4 y^2 -x here is what I got @f/@x = 3x^3 y...
*Thursday, November 20, 2014 by Jennifer *

**calculus**

Consider a 10in by 14in rectangle to which you make square cuts of side length "x" in each corner, then fold the sides and form a box of height "x". What should "x" be to maximize the volume of the box?
*Wednesday, November 19, 2014 by James T. *

**Calculus (PLEASE HELP ASAP!)**

Find f(x) satisfying the given conditions: 1) f"(x) = 1/x^3 f'(1) = 1/2 f(1) = 0 2) f"'(x) = sin (x) f"(0) = 0 f'(0) = 1 f(0) = 0
*Wednesday, November 19, 2014 by Anonymous*

**Calculus**

Find the derivative of y=xe^-x^2. Is the x being multiplied by (e^-x^2)? Product rule? I don't understand how to approach this problem.
*Tuesday, November 18, 2014 by Anonymous*

**Integral Calculus**

integral r(r^2 - 1) / (r^2+1) integral (e^t-e^-t)^2 integral (1-2x)^2 / x
*Tuesday, November 18, 2014 by hiroshi*

**Calculus**

The Fellowship of the Ring was broken when Boromir momentarily betrayed Frodo Baggins. By the time Aragorn tried to find Frodo, he and Sam were already 1 km to the east crossing the lake. Since Frodo’s destiny was out of his hands, Aragorn took the remaining members to ...
*Tuesday, November 18, 2014 by Related rates*

**calculus**

Find two positive numbers that satisfy the given requirements: The product is 147 and the sum of the first number plus three times the second number is minimum
*Monday, November 17, 2014 by Jallah*

**Pre-Calculus**

The solution of the system of three inequalities is given by a polygonal convex set. 8x + 2y ≥ 36 -3x + 6y ≤ 27 -7x + 5y ≥ -18 The function f(x,y) = 9x + 5y passes through this set. What values of (x,y) give f(x,y) its maximum value? A)(-3, 2) B)(-3, 6) C)(9...
*Monday, November 17, 2014 by TeeKay*

**Calculus**

You are driving at 20 m/s when you notice a tree blocking the road, 30 meters ahead of you. It takes you half a second to react before slamming on the brakes. Your car decelerates at a constant 10 m/s2. How far does your car travel before stopping? Will you hit the tree?
*Monday, November 17, 2014 by Bre*

**Calculus**

The rectangles in the graph illustrates a left endpoint Riemann sum for f(x)=−(x^2/4)+2x on the interval [3,7]. The value of this left endpoint Riemann sum is? The rectangles in the graph illustrates a right endpoint Riemann sum for f(x)=−(x^2/4)+2x on the interval...
*Monday, November 17, 2014 by Hailey*

**Calculus**

The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=x^2/8 on the interval [4,8]. The value of this left endpoint Riemann sum is? The rectangles in the graph illustrate a right endpoint Riemann sum for f(x)=x^2/8 on the interval [4,8]. The value of this ...
*Monday, November 17, 2014 by Hailey*

**Calculus - PLEASE HELP!!**

For any real number x there is a unique integer n such that n≤x<n+1, and the greatest integer function is defined as ⌊x⌋=n. Where are the critical values of the greatest integer function? Which are local maxima and which are local minima?
*Monday, November 17, 2014 by Lucy*

**Calculus Can you help**

Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π but I'm not ...
*Monday, November 17, 2014 by Lily*

**Calculus**

This is the question: i[dot]imgur[dot]com/EHneTuB[dot]jpg Am i correct in simply adding 1 + (-3), and equates to (-2) being the answer.
*Sunday, November 16, 2014 by Joshua*

**calculus**

1. A particle moves along the x-axis, it's position at timer given by x(t)=t/(1+t^2), t greater than or equal to 0,where t is measured in seconds and x in meters. a) find the velocity at time t. I am a little confused.. Do I find the derivative by using the quotient rule? ...
*Sunday, November 16, 2014 by Anonymous*

**Calculus Help**

If f(x) = sin(7 − 5x), find f′(π), which is the derivative at π: −0.754 −0.657 0 0.657 3.770 I chose 0.657 ... I did not really get this exact answer, its just that while I was trying to figure this out my answer was actually 0.6978 but I just...
*Sunday, November 16, 2014 by Nick*

**Calculus**

If I derive the following, d/dt((a)S(t^2) of (s)^(1/2)ds with S being integral notation (a) being at the bottom of the notation and being a constant (t^2) being at the top of the notation ..I first apply the fundamental theorem of calculus to get.. (t^2)^(1/2) (2t) simplified ...
*Sunday, November 16, 2014 by Joshua*

**Calculus **

These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the population grows ...
*Sunday, November 16, 2014 by Anonymous*

**Math (calculus)**

Prof gave us this question to practice but I do not know how to solve it. If you know please provide step by step with the answer so I can understand it. Thank you very much :) Suppose a rocket is launched from the ground with 10 seconds worth of fuel. The rocket has an upward...
*Sunday, November 16, 2014 by Anonymous*

**Calculus I (PLEASE HELP!)**

These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the population grows ...
*Sunday, November 16, 2014 by Anonymous*

**Calculus**

This is a definite integral question. Evaluate the following integral: (0)S(a)((x)((a^2 - x^2)^(1/2)))dx with a being a constant and the (0) being at the bottom of the integral notation and (a) at the top. S is the integral notation. I firstly checked whether the function was ...
*Saturday, November 15, 2014 by Joshua*

**Calculus **

A piece of wire x cm long is to be cut into two pieces, each to bent to be a square. the length of a side of one square is to be 9 times the length of a side of the other . Express the sum of the areas of two squares in term of x .
*Saturday, November 15, 2014 by Angy*

**calculus **

it costs 8 dollars to manufacture and distribute a backpack.If the backpack sell at x dollar each, the number sold , n, is given by n= 3/(x-8)+5(100-x) . Find the selling price that will maximize the profit.
*Saturday, November 15, 2014 by John*

**calculus**

object 380 ft above surface of globe. Horizon is 65.3 degrees from object. What is circumference of globe?
*Saturday, November 15, 2014 by Bruce*

**Calculus**

The maker of an automobile advertises that it takes 11 seconds to accelerate from 15 kilometers per hour to 90 kilometers per hour. Assuming constant acceleration, compute the following. What is the distance the car travels during the 11 seconds (Round your answer to two ...
*Friday, November 14, 2014 by Jessica*

**Pre-Calculus**

Use a graphing calculator to write a polynomial function to model this set of data {(5,2) (7,5) (8,6) (10,4) (11, -1) (12 -3) (15,5) (16,9)} A) f(x) = 2x3 + 2.70x2 + 0.09x - 65.21 B) f(x) = 2x3 - 0.09x - 65.21 C) f(x) = 0.09x3 - 2.70x2 + 24.63x - 65.21 D) f(x) = x4 - 5.7x3 + 2...
*Friday, November 14, 2014 by TeeKay*

**Calculus**

Find the equation of the line tangent to the function f(x)= square root of (x^3 + 4x) through the point (2,4)
*Friday, November 14, 2014 by Tom*

**Calculus Please Help**

I think I have the right answer, but I am not 100% sure how to do the values at (1,-1) and the one below at (0,-1, 1). Please explain how I need to approach how to do these. Thank You! Calculate the partial derivative @f/@x, @f/@y and @f/@x | (1,-1), and @f/@y | (1,-1) f(x,y...
*Thursday, November 13, 2014 by Jennifer *

**Calculus**

A particle is moving with the given data. Find the position of the particle. a(t) = t^2 − 8t + 5, s(0) = 0, s(1) = 20
*Thursday, November 13, 2014 by Breauna*

**Calculus**

Differentiate. f(x)=cos x/x Is it (-x sin x - cos x)/x^2
*Wednesday, November 12, 2014 by Anonymous*

**Calculus - PLEASE HELP!!**

Use L'Hospital's Rule to solve: lim u --> 1 of (u-1)^3/ ((1/u) - u^2 + (3/u) - 3) Ok, so what I thought was that it is type 0/0 so taking the derivatives of the top and bottom 3(u-1)^2 /(-u^-2 -2u - 3u^-3) and subbing in u = 1 = 0/-6 = 0
*Wednesday, November 12, 2014 by Mary*

**calculus**

A ball is thrown 12 meters in the air (so that the initial up-and-down distance is 24 meters). The ball rebounds 95% of the distance it falls. What is the total vertical distance traveled by the ball before it stops bouncing?
*Wednesday, November 12, 2014 by Anonymous*

**Calculus**

Find the equation of the tangent line to f(x)=x sec x at ((pi/4),(pi•sqrt 2)/4). Please check my derivative .. Is it (sin^2(x)+ 1)/cos^3 (x)?
*Wednesday, November 12, 2014 by Anonymous*

**Pre-Calculus**

Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64. A) 2 and -2 B) 64 and -64 C) 5 and -5 D) 0.25 and -0.25
*Wednesday, November 12, 2014 by TeeKay*

**Calculus**

Find the general indefinite integral ∫ v(v3+5)2dv
*Wednesday, November 12, 2014 by Hailey*

**calculus **

1) A particle is moving with acceleration a(t)=36t+10. its position at time t=0 is s(0)=16 and its velocity at time t=0 is v(0)=9. What is its position at time t=11?
*Wednesday, November 12, 2014 by Hailey*

**Calculus **

9) The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8]. What is the value of this left endpoint Riemann sum? The rectangles in the graph illustrate a right endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8]. what ...
*Wednesday, November 12, 2014 by Hailey*

**calculus **

7) Consider the function f(x)=(10/x^2)−(2/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(x)= ?
*Wednesday, November 12, 2014 by Hailey*

**Pre-Calculus**

I really need help on this question Simplify the expression by using a Double-Angle formula or a Half-Angle Formula cos^2 0/2-sin^2 0/2
*Wednesday, November 12, 2014 by Andrea*

**Pre-Calculus**

Use an Addition or Subtraction Formula to find the exact value of the expression: tan7π/12
*Wednesday, November 12, 2014 by Christian*

**Pre-Calculus**

Prove the identity: cos(x-π/2)=sin x
*Wednesday, November 12, 2014 by Adrian*

**Pre-Calculus**

Simplify the trigonometric expression: cos^3x+sin^2x cos x
*Wednesday, November 12, 2014 by Drue*

**Calculus**

Find f"(x). f(x) = x^3 - (5/x)
*Tuesday, November 11, 2014 by Joshua*

**calculus related rates **

Boyle’s law for the expansion of a gas is PV = k, where P is the pressure (in pounds per unit of area), V is the volume of the gas, and k is a constant. Find the expression that shows the rate of change of the pressure as related to the rate of change of the volume. dP/...
*Tuesday, November 11, 2014 by Bill *

**calculus inverted cone **

A container in the shape of an inverted cone has radius 6 ft and height 12 ft. It is being drained at 2〖ft〗^3/min. Find the rate of change of the height of the liquid in the cone when the height is 3 feet. The ratio of the radius to the height remains constant.
*Tuesday, November 11, 2014 by George*

**Calculus**

Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 .
*Tuesday, November 11, 2014 by Gina*

**Calculus**

did i use the chain rule correctly? y=(8x^4-5x^2+1)^4 d(f(x)/dx =d/dx ((8x^4-5x^2+1)^4) =4*(8x^4-5x^2+1)^3*d/dx(8x^4-5x^2+1) =4*(8*d/dx(x^4)-5*d/dx(x^2))*(8x^4-5x^2+1)^3 =4*(8*4x^3-5*2x)*(8x^4-5x^2+1)^3 =4*(32x^3-10x)*(8x^4-5x^2+1)^3
*Tuesday, November 11, 2014 by Duane*

**Calculus**

How do I find the derivative of y=(8x^4-5x^2+1)^4
*Tuesday, November 11, 2014 by Duane*

**Calculus**

What does this equation mean? X = Cos (T) * Phi ^ ((2 / Pi) * T) Y = Sin (T) * P
*Monday, November 10, 2014 by Joe*

**Calculus**

can you show me how to solve an equation using the chain rule
*Monday, November 10, 2014 by Duane*

**Calculus**

can you please explain the chain rule in simple terms. thank you
*Monday, November 10, 2014 by Duane*

**calculus**

A wire 360cm is cut into two pieces.One piece is formed into a square and the other is formed into a circle.If two figures have the same area,what are the two lenghts of two pieces of wire( to the nearest hundreth of centimeter?,show all the necessary working clearly.
*Monday, November 10, 2014 by Mandla*

**Calculus**

Hello. I have a few questions from my study guide, that I need to know to study for my test. 1) x^(2/3)*((5/2)-(x) a) determine the ordered pairs of the local extrema of the function. Use the second derivative test. B) determine the ordered pairs of all inflection points of ...
*Monday, November 10, 2014 by Matt*

**Calculus angle of elevation with elevator**

An observer is 20m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 18m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
*Monday, November 10, 2014 by Sarah*

**Calculus angle of elevation**

An observer is 31m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 22m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
*Monday, November 10, 2014 by fredric *

**calculus**

find the derivative of the function y=(3x+4)^5(4x+1)^-2
*Monday, November 10, 2014 by Duane*

**calculus**

An observer is 20 m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 20 m horizontally from the observer (see figure). The angle of elevation of the elevator is the angle that the observer's line of sight makes with the ...
*Sunday, November 9, 2014 by tom*

**Calculus**

BoxedNGone truck rentals calculates that its price function is p(x)=160-2x,where p is the price (in dollars) at which exactly x trucks will be rented per day. Find the number of trucks that BoxedNGone should rent and the price it should charge to maximize revenue. Also find ...
*Sunday, November 9, 2014 by Jessica*

**calculus**

find the derivative of the function y=(4x+3)^5(5x+2)^-4
*Sunday, November 9, 2014 by Duane*

**calculus**

find the derivative of the function y=log absolut power 2-x
*Sunday, November 9, 2014 by Duane*

**Calculus**

find the derivative of y= x^3+8/x+2 the / is meant to be a fraction bar, I am really really bad at finding the derivative of a fraction function, could you help by showing me exactly how, Thanks
*Sunday, November 9, 2014 by Minnie*

**calculus**

find the derivative of the function s=t^9lnabsolut power t
*Sunday, November 9, 2014 by Duane*

**calculus**

find the derivative y=ln(1-6x)
*Sunday, November 9, 2014 by Duane*

**calculus**

find the derivative of y with respect to x if y=(13x^2-26x+26)e^-3x. y'=
*Sunday, November 9, 2014 by Duane*

**calculus**

find the derivative of the function y=(2x+1)^3(4x+1)^-4
*Sunday, November 9, 2014 by Duane*

**calculus**

find f[f(x)] and g[f(x)] f(x)=2x^2-5; g(x)=2/x
*Sunday, November 9, 2014 by Duane*

**calculus**

find f[f(x)] and g[f(x)] f(x)=4x^2-1; g(x)=4/x
*Sunday, November 9, 2014 by Duane*