Thursday

August 21, 2014

August 21, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**calculus**

A parallelogram is determined by the vectors a = [-2, 5] and b = [3, 2]. Determine the diagonals of the parallelogram.
*Saturday, August 16, 2014 at 3:57pm*

**calculus**

Beth leaves a dock in a motorboat travelling at 14 m/s. She heads downstream at an angle of 40° to the current, which flows at 6 m/s. Determine how long it takes for Beth to travel 400 m
*Saturday, August 16, 2014 at 3:12pm*

**calculus**

For the vectors x=(0,6,-5), y=(2,1,4) and z=(-2,3,-1) what is the value of (2x+y)·(3y-z)? (dot product question and each letter is a vector)
*Saturday, August 16, 2014 at 2:45pm*

**calculus**

Nikki is driving a motorboat across a river that flows at 5 m/s. The motorboat has a speed of 12 m/s in still water. She heads out from one bank in a direction perpendicular to the current. How far does she travel in 3 minutes?
*Saturday, August 16, 2014 at 2:32pm*

**calculus**

Determine (6i+2j)· (i-4j+k) This is a dot product question and each letter has the vector symbol
*Saturday, August 16, 2014 at 2:21pm*

**Calculus (need help with only d and e)**

Codeine phosphate is a drug used as a painkiller. A common brand contains 30 mg of codeine. Samples of blood were taken at regular time intervals from a patient who had taken a pill containing 30 mg of codeine. The amount of codeine in the bloodstream was determined every 30 ...
*Wednesday, August 13, 2014 at 5:47pm*

**Calculus-Math**

The cost of producing x units of a product is C = 60x + 1350. For one week management determined the number of units produced at the end of t hours during an eight-hour shift. The average values of x for the week are shown in the table. t 0 1 2 3 4 5 6 7 8 x 0 16 60 130 205 ...
*Monday, August 11, 2014 at 2:55pm*

**calculus**

A person's temperature is f (t) degrees Fahrenheit t days after the start of a ten-days sickness and f(t)=98.6+1. 2t-0.12t^2, 0 is less than or equal to t, and t is less than or equal to 10. find the rate of change of the temperature when the person has been sick for 8 days.
*Sunday, August 10, 2014 at 8:54am*

**calculus**

the volume V of a right circular cone of height h=8 feet and radius r feet is V=V(r)=2pier^2. If r is changing, find the instantaneous rate of change of the volume V with respect to the radius r at r=4.
*Sunday, August 10, 2014 at 8:50am*

**Calculus-Math**

The speed S of blood that is r centimeters from the center of an artery is given below, where C is a constant, R is the radius of the artery, and S is measured in centimeters per second. Suppose a drug is administered and the artery begins to dilate at a rate of dR/dt. At a ...
*Saturday, August 9, 2014 at 10:17pm*

**Calculus-Math**

Find d2y/dx2 in terms of x and y. x^2y^2-2x=3
*Saturday, August 9, 2014 at 7:01pm*

**Calculus-Math**

Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 − y2), (4, -2)
*Saturday, August 9, 2014 at 6:44pm*

**Calculus-Math**

The speed S of blood that is r centimeters from the center of an artery is given below, where C is a constant, R is the radius of the artery, and S is measured in centimeters per second. Suppose a drug is administered and the artery begins to dilate at a rate of dR/dt. At a ...
*Saturday, August 9, 2014 at 6:08pm*

**Calculus-Math**

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (x + 18)^(-1/2) u = ? y=? Use the chain rule.
*Friday, August 8, 2014 at 9:41pm*

**Calculus-Math**

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x − 4)^7 u = y= This problem involves the chain rule of derivatives.
*Friday, August 8, 2014 at 9:29pm*

**Maths - Optimisation**

I've been trying to work out this question for hours and I can't seem to figure it out. Question: "Point 'A' is situated in the bottom left hand corner of a vertical rectangle with the dimensions 6m x 3m. Point 'B' is situated in the opposite top ...
*Friday, August 8, 2014 at 7:16pm*

**Calculus-Math**

Complete the table without using the Quotient Rule. Function y=2x^(7/2)/x Rewrite y= Differentiate y'= Simplify y' =
*Wednesday, August 6, 2014 at 7:54pm*

**Calculus-Math**

The length of a rectangle is given by 2t + 2 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time. A'(t)=
*Tuesday, August 5, 2014 at 5:08pm*

**Calculus-Math**

Use the given information to find f '(8). f(x) = 9g(x) + h(x) g(8) = 1 and g'(8) = 5 h(8) = 8 and h'(8) = -3 f'(8)=
*Tuesday, August 5, 2014 at 2:40am*

**Calculus**

Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the point of tangency (x, y) on the graph of f, solve the following equation of f '(x). f '(x) = y0 − y/x0 − x f(x) = √x (x0, y0...
*Monday, August 4, 2014 at 7:37pm*

**Calculus III**

Find the moment of inertia about a diameter of s spherical shell of uniform density, D, bounded by two concentric spheres of radii a and b, where a<b. Express your answer in terms of a, b and the mass of the spherical shell. So far I have found my equation for row (p), and ...
*Monday, August 4, 2014 at 2:49pm*

**calculus**

a small business owner buys a truck for $20,000 to transport supplies for her business. She anticipates that she will use the truck for 5 years and that the truck will be worth $10,000 in 5 years. She plans to claim a depreciation tax credit using the straight-line ...
*Saturday, August 2, 2014 at 8:45pm*

**Calculus**

Determine whether Ax = lnx/(sqrt x) is convergent
*Thursday, July 31, 2014 at 9:29pm*

**Calculus - Simpson's Rule and Arc Length**

Can any show me step by step on how to get this? I keep on getting different answers... Thank You! Use Simpson's rule with n=10 to estimate the arc length of y=x^(-1/3), for 1 <= x < 6.
*Thursday, July 31, 2014 at 8:45pm*

**Calculus**

use the simpson's rule with n=10 to estimate arc length of y=x^(-1/3), for 1<=x<6
*Thursday, July 31, 2014 at 8:22pm*

**Calculus**

State the cartesian equations of two lines that make angle of 60 degrees with the line r=(1,3)+s(1,1)
*Tuesday, July 29, 2014 at 8:21pm*

**Calculus**

Find the scalar equation of a plane that is perpendicular to plane r=(-2,1,3)+s(0,1,1)+t(-1,0,3) and also intersects it along the line (x-3)/2=(y+1)/-3,z=1
*Tuesday, July 29, 2014 at 8:20pm*

**calculus 2**

use the simpsons rule with n=10, arc length y=^3sqaure root x, for 1<=x<6
*Tuesday, July 29, 2014 at 12:28am*

**Calculus**

Find the antiderivative, F(x), with F′(x) = f(x) and F(0) = 1. f(x) = −7 x
*Monday, July 28, 2014 at 8:29pm*

**Calculus **

A container in the form of a right circular cone (vertex down) has a radius of 4m and height of 16m. If water is poured into the container at the constant rate of 16m^3/min, how fast is the water level rising when the water is 8m deep. V=(pi/3)(r^2)h
*Sunday, July 27, 2014 at 11:25pm*

**calculus 2**

r=1- 3Sin theta¸ find the area enclosed by the inner loop
*Saturday, July 26, 2014 at 11:32pm*

**calculus 2**

Evaluate integral x/(1+|x|), (x,-3,3)
*Saturday, July 26, 2014 at 11:32pm*

**calculus 2**

find dy/dx and (d^2)y/(d^2)x for x=2sint y=3cost 0<1<2pi
*Saturday, July 26, 2014 at 11:31pm*

**calculus 2**

use the simpsons rule with n=10, arc length y=^3√x, for 1<=x<6
*Saturday, July 26, 2014 at 10:12pm*

**Calculus: Determine the constants from function**

The function h(x) = x^3 + bx^2 + d has a critical point at (2, -4). Determine the constants b and d and find the equation of h(x). IM SO CONFUSED :(
*Friday, July 25, 2014 at 7:36pm*

**calculus**

Please help!! Okay so my teacher has been away and hasent explained anything to us and we have to find the intercepts, critical points, intervals of increase and decrease, points of inflection, intervals of concavity, local maximum or minimum points for each of the following ...
*Thursday, July 24, 2014 at 4:10pm*

**calculus**

1st digit is square root of 2nd digit 2nd digit is square of 1st sum of 3rd & 6th is 14 sum of 3rd 4th 5th & 6th is square of 4th sum of all digit is 37 multiplication of 1st & 5th is sum of 4th 5th & 6th sum of 2nd 3rd & 4th is multiplication of 1st & last.now
*Wednesday, July 23, 2014 at 10:49am*

**Calculus**

Verify the conditions for Rolle's Theorem for the function f(x)=x^2/(8x-15) on the interval [3,5] and find c in this interval such that f'(c)=0 I verified that f(a)=f(b) and calculated f'(x)= (8x^2 -30x)/64x^2 -240x +225) But I'm having trouble finding c when ...
*Tuesday, July 22, 2014 at 10:12pm*

**calculus**

Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f'(c) in the conclusion of the mean value theorem for the given function and interval f(x)= x^(2/3) , [0,1]
*Tuesday, July 22, 2014 at 7:00pm*

**Calculus**

For f(x)=2(x+5)^3 +7 Find and classify the extreme values, determine where the function is increasing and decreasing, where it is concave up and concave down, and any points of inflection. I understand this is using the first and second derivative tests, but I can't find ...
*Tuesday, July 22, 2014 at 6:36pm*

**calculus**

Find a point c satisfying the conclusion of the Mean Value Theorem for the function f(x)= x^1/3 on the interval [1,8] I got f'(c)= 1/7 but am not sure where to go from there.
*Tuesday, July 22, 2014 at 3:48pm*

**Calculus**

A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the y-axis. You must use calculus and clearly show your working, including any derivatives ...
*Friday, July 18, 2014 at 6:49pm*

**calculus**

What is the derivative of y=sin^3(x)+sin(x^3) ?
*Thursday, July 17, 2014 at 9:59pm*

**Calculus**

find the extreme values of the function and where they occur y=1/(sqrt 1-x^2). So far I have y'=x/((1-x^2)(1-x^2)^(1/2)) but I am stuck.
*Thursday, July 17, 2014 at 5:46pm*

**calculus**

N(t) = 120/(1+11e^(−0.4t) D. At what rate is the number of fruit flies increasing after 4 days?
*Wednesday, July 16, 2014 at 10:57pm*

**calculus**

The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited: N(t) = 120/(1+11e^(−0.4t)) D. At what rate is the number of fruit flies increasing after 4 days?
*Wednesday, July 16, 2014 at 10:35pm*

**calculus**

Year 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 % having VCR 0.2 0.3 0.7 1.2 2.4 4.6 8.7 15.5 23.9 34.2 45.4 50.6 56.6 61.3 (a) During what year does the point of "diminishing returns" (i.e., the inflection point) appear to take place? ...
*Wednesday, July 16, 2014 at 10:29pm*

**calculus**

The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited: N(t) = 120 1+11e−0.4t where t measured in days. A. How many fruit files were there in the beginning? B. What is the limiting number of ...
*Wednesday, July 16, 2014 at 10:10pm*

**calculus**

N(t) = 650 1+649 e−0.5 t . (You may wish to sketch a graph of N(t) to help you understand this situation and answer the questions below.) (a) How many people will have heard the rumor after 2 hours? After 12 hours? (b) When will half the people have heard the rumor? t...
*Wednesday, July 16, 2014 at 10:08pm*

**Calculus Help!**

At a price of $7.5 per ticket, a musical theater group can fill every seat in their 1500 seat performance hall. For every additional dollar charged for admission, the number of tickets sold drops by 95. a) What ticket price maximizes revenue? Round your answer to the nearest ...
*Wednesday, July 16, 2014 at 1:37pm*

**calculus**

C(q) = q3−60q2+1200q+760 for 0 ≤ q ≤ 50 and a price per unit of $551. Round your answers to the nearest whole number. a) What production level maximizes profit? q = b) What is the total cost at this production level? cost = $ c) What is the total revenue at ...
*Wednesday, July 16, 2014 at 1:08pm*

**calculus **

At a price of $7.5 per ticket, a musical theater group can fill every seat in their 1500 seat performance hall. For every additional dollar charged for admission, the number of tickets sold drops by 95. a) What ticket price maximizes revenue? Round your answer to the nearest ...
*Wednesday, July 16, 2014 at 12:52pm*

**Calculus Help**

The deal your assistant signs calls for the sale of a minimum of 260 chairs and up to 410 chairs. The price will be $88 per chair if only 260 chairs are bought, but will be discounted by $0.2 per chair (on the entire order) for every chair ordered in addition to the minimum. ...
*Tuesday, July 15, 2014 at 9:27pm*

**Calculus Help**

At a price of $7.5 per ticket, a musical theater group can fill every seat in their 1500 seat performance hall. For every additional dollar charged for admission, the number of tickets sold drops by 95. a) What ticket price maximizes revenue? Round your answer to the nearest ...
*Tuesday, July 15, 2014 at 9:26pm*

**Calculus Help**

using the cost function C(q) = q3−60q2+1200q+760 for 0 ≤ q ≤ 50 and a price per unit of $551. Round your answers to the nearest whole number. a) What production level maximizes profit? q = b) What is the total cost at this production level? cost = $ c) What ...
*Tuesday, July 15, 2014 at 9:24pm*

**Calculus Help**

Using the revenue function R(q) = 510q and the cost function C(q) = 9400+3q2. Round your answers to the nearest whole number. a) At what quantity is profit maximized? q = b) What is the total profit at this production level? profit = $
*Tuesday, July 15, 2014 at 9:18pm*

**Calculus 2**

find the arc length of the graph of the function over the indicated interval. x^5/10+1/(6x^3) on the interval (3,6)
*Monday, July 14, 2014 at 9:14am*

**Urgent Calculus Help 2**

Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 2.
*Wednesday, July 9, 2014 at 7:12pm*

**Urgent Calculus Help**

Let H(x)=F(G(x)) and J(x)=F(x)/G(x). Suppose F(7)=4, F′(7)=−8 G(7)=3, G′(7)=−5 G(2)=7, G′(2)=−2 then H′(2)= J′(7)=
*Wednesday, July 9, 2014 at 7:12pm*

**Maths- calculus**

Two ships leave different ports A and B 100 miles apart at 0800 hours, each heading for the opposite port on reciprocal courses. Ship A steams at 20 knots and ship B at 15 knots. calculate: (a) What time are they first 45 miles apart? (b) What time they will pass, and how far ...
*Wednesday, July 9, 2014 at 2:02am*

**Math pre-calculus**

Write an expression for all of the vertical asymptotes of y=-3 csc(pi/4 *x) Can you list step by step to show how to do it , I don't understand this problem !!! Thanks
*Wednesday, July 9, 2014 at 1:27am*

**calculus **

the time required for one complete oscillation of a pendulum is called its period. if the length L of the pendulum is measured in feet and the period P n seconds, then the period is given by P=2¶(L/g)^1/2, where g is constant. use differentials to show the percentage ...
*Tuesday, July 8, 2014 at 9:59pm*

**calculus**

f(t) = − 4 t2 − t− 6 Find the equation of the line tangent to the graph of f(t) at t = 8. Enter the equation of the tangent line here (in terms of the variable t):
*Monday, July 7, 2014 at 9:06pm*

**calculus**

If C′(62) = 120 and R′(62) = 145, approximately how much profit is earned by item number 63?
*Monday, July 7, 2014 at 8:06pm*

**Calculus**

A particle moves with a fixed acceleration of 3 m/s^2. If its initial velocity is v(0)= 2 m/s, and its initial displacement is s(0)= 0 A)Find its velocity function v(t) B)How long does it take for the particle to reach the velocity 14 m/s? C)Find the distance traveled when its...
*Sunday, July 6, 2014 at 11:27pm*

**Statistics**

The mean score on the first calculus exam was 55%. The standard deviation was 7%. Find the smallest interval about the mean that must contain at least 83% of the scores. heeellllppppp
*Friday, July 4, 2014 at 3:50pm*

**Calculus**

A vessel is in the shape of an inverted cone. The radius of the top is 5cm and the height is 8cm. Water is poured into a height of xcm. Show that if the volume of the water is Vcm^3,then V=(25/192)*pi*x^3. (The volume of a cone is given by the formula V=(1/3)*pi*r^2*h)
*Friday, July 4, 2014 at 9:42am*

**Urgent Calculus Help**

Based on the following table of values for the function w(t), answer the questions below. t and w(t) are a table with the following values: (100,2.6), (110,7.3), (120,12.7), (130,19), (140,26.1), (150,34.1) a) Which of the following best describes the derivative of w(t)? A. ...
*Thursday, July 3, 2014 at 7:46pm*

**Calculus Help**

Based on the following table of values for the function w(t), answer the questions below. t= 100 110 120 130 140 150 w(t)= 2.6 7.3 12.7 19 26.1 34.1 a) Which of the following best describes the derivative of w(t)? A. changes sign B. always positive C. always negative b) Which ...
*Thursday, July 3, 2014 at 7:44pm*

**Calculus 1**

A spherical snowball melts in such a way that its surface area decreases at a rate of 1 cm2/min. Find the rate at which its diameter is decreasing when the diameter is 10 cm
*Thursday, July 3, 2014 at 1:46pm*

**Calculus I**

Hello! I am not sure why I am getting this problem wrong, and I keep getting six. Could someone be kind enough to show me how it's done? Thank you very much in advance! Find the limit. Use l'Hospital's Rule if appropriate. lim ((5x − 2)/(5x + 4))^(5x + 1) x&#...
*Monday, June 30, 2014 at 6:51pm*

**Calculus help**

assume that the initial deposit is $20000 and the nominal annual interest rate is 5.7%. Determine the amount in the account in 10 years if the interest is compounded as follows (round your answers to the nearest dollar): (a) Annually: P=20000(1.057)^10 (b) Monthly: (c) Weekly...
*Friday, June 27, 2014 at 10:50pm*

**calculus**

Choice 1: Payments of $ 2600 now, $ 3200 a year from now, and $ 3880 two years from now. Choice 2: Three yearly payments of $ 3200 starting now. Modification: Interest is compounded continuously instead of annually. (a) If the interest rate on savings were 4.86 %, which would ...
*Friday, June 27, 2014 at 2:54pm*

**calculus**

Suppose strontium-90 decays at a rate of 2 percent per year. (a) Write the fraction P of strontium remaining, as function of t, measured in years. (Assume that at time t=0 there is 100 % remaining.) Answer: P(t) = (b) Estimate the half-life of strontium. Answer: Hint: Use your...
*Friday, June 27, 2014 at 2:53pm*

**calculus**

Pretend the world's population in 1989 was 5 billion and that the projection for 2017 is 7.5 billion. What annual rate of growth is assumed in this prediction?
*Friday, June 27, 2014 at 10:48am*

**calculus**

Pretend the world's population in 1989 was 5 billion and that the projection for 2017 is 7.5 billion. What annual rate of growth is assumed in this prediction?
*Friday, June 27, 2014 at 10:47am*

**Calculus I**

Hello! I am taking Calculus I and am in Sec. 4.3 of Stewart's 7th Edition. I ran across a problem that I don't understand the mechanics of, could someone show me? Thanks a bunch! For what values of the numbers a and b does the function f(x)= axe^{b(x^2)} have the ...
*Thursday, June 26, 2014 at 10:47pm*

**Pre calculus**

For the equation 2x^2-5x^3+10=0 find the number the number of complex roots and the possible number of real roots.
*Monday, June 23, 2014 at 11:19pm*

**calculus**

the weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. if a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person ...
*Monday, June 23, 2014 at 7:48pm*

**Calculus**

Given f(x) = cubed root of x^2 (2x+5)^3, find the critical numbers after you identify the domain.
*Monday, June 23, 2014 at 2:15am*

**Calculus**

Given f(x) = csc^4(5x^2-3x+1), find f'(x). Show all work.
*Monday, June 23, 2014 at 2:12am*

**Calculus**

A water tank in the shape of a right circular cylinder has a volume that is increasing at the rate of 300pi cubic centimeters per hour. If the height is decreasing at the rate of 15 centimeters per hour, find the rate at which the radius is changing when the radius is 20 ...
*Monday, June 23, 2014 at 2:11am*

**Calculus**

Water is leaking from the bottom of a tank in the shape of an inverted cone having an altitude of 12 feet and a radius of 2 feet. If the water is leaking at the rate of 0.25 cubic feet per minute, how fast is the water level decreasing when the water is 4 feet deep?
*Monday, June 23, 2014 at 2:05am*

**calculus**

When a hammer thrower spins, the hammer generates a circle with a radius of 5 feet. When thrown, the hammer hits a screen that is 50 feet from the center of the throwing area. Let coordinate axes be introduced. If the hammer is released at (-4, -3) and travels in the tangent ...
*Saturday, June 21, 2014 at 12:04pm*

**Pre-Calculus**

What makes a mathematical induction true? I know how to solve both steps in the proof, but how do you reach this conclusion?
*Friday, June 20, 2014 at 3:04pm*

**Calculus**

The CIA published data about foreign countries on its web page. In particular they show total population as well as population growth. If a student is looking at Russia, they will see that the total population of Russia is declining. When they look at the table that shows ...
*Tuesday, June 17, 2014 at 11:27pm*

**CALCULUS II**

Hi, I needed help with this improper integral. lower limit : 2 upper limit : infinity integral of (lnx)/(x+1) dx Thank You so much :D
*Tuesday, June 17, 2014 at 4:48pm*

**Calculus**

The median value of a home in a particular market is decreasing exponentially. If the value of a home was initially $240,000, then its value two years later is $235,000. a) Write a differential equation that models this situation. Let V represent the value of the home (in ...
*Tuesday, June 17, 2014 at 9:52am*

**Calculus**

dy/dx = 4ye^(5x) a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function y(x). For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or integrate both ...
*Monday, June 16, 2014 at 9:41pm*

**Calculus **

∫1/(x2 − 2x + 8)3/2 dx
*Monday, June 16, 2014 at 3:42pm*

**Calculus**

Q: If y=sinx/(1+tanx), find value of x not greater than pi, corresponding to maxima or minima value of y. I have proceeded thus- Equating dy/dx=0 we get{ (1+tanx)cosx-sinx.sec^2 x}/(1+tanx)^2=0……..(A) Or cosx+sinx=sinx.sec^2 x or cosx= sinx.sec^2-sinx Or cosx=sinx....
*Monday, June 16, 2014 at 2:29am*

**Precalc**

Are exponential equations the same as exponential functions? I am writing a summary of this year's Pre-Calculus lessons and one of the topics on the outline is "Exponential Equations", but on the lesson Power Points on my teacher's website there is only one ...
*Sunday, June 15, 2014 at 5:35pm*

**calculus**

Eric is standing on the ground, a distance of 70 ft from the bottom of Ferris wheel that has a 20 ft radius. His arm is at the same height as the bottom of the Ferris wheel. Janice is on Ferris wheel which makes one revolution counter clock wise every 16 secs. At the instant ...
*Sunday, June 15, 2014 at 10:25am*

**calculus**

An electron, travelling at 2000 m/s, is suddenly influenced by an extreme deceleration of 3000 m/s2. How fast is it going 0.03 s later?
*Wednesday, June 11, 2014 at 1:55pm*

**calculus**

A parabola ,f, intersect the x axis at A and B and the y axis at C. The axis of symmetry of the parabola has the equation x=-3.The line through A and C has the equation g(x)=x+7. Determine the coordinates of A,B and C
*Tuesday, June 10, 2014 at 10:03am*

**Calculus**

Assume v(t) = 6t - 18 on the interval [0, 6]. Find the total distance that the object traveled on [0, 6].
*Monday, June 9, 2014 at 6:11pm*

**Calculus**

What is the total change of f(x), if f'(x) = 2x - 3x^2, over the interval [0, 3]?
*Monday, June 9, 2014 at 4:54pm*

**Calculus**

A rock is dropped from the top of a 400-foot-tall building. Its distance s (in feet) from the top of the building after t seconds is s(t) = 16t^2. How many seconds will it take the rock to hit the ground?
*Sunday, June 8, 2014 at 6:34pm*

**Calculus**

The rate of change in the volume of a tank is known to be dV/dt=0.6t*cos(0.08t^2 -1), where V(t) is in gallons per minute and 0<=t<=10 (0 is less than or equal to t which is less than or equal to 10). If the tank has a volume of 14 gallons initially, what is its volume ...
*Sunday, June 8, 2014 at 4:49pm*

**Calculus**

An object with an initial position of x(0) = 3 has a velocity of v(t) =sin(t). Find its position at t =2.
*Saturday, June 7, 2014 at 12:00pm*

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