# calculus

Most popular questions-
## Calculus

If the volume of a cube is increasing at 24 in^3/min and the surface area of the cube is increasing at 12 in^2/min, what is the length of each edge of the cube? I know that dV/dt=24 and ds/ds=12. I also know that Volume=s^3 and Surface Area=6*s^2, but what

*asked by Anna on December 7, 2010* -
## Calculus

A stone is dropped from the upper observation deck of a tower, 200 m above the ground. (Assume g = 9.8 m/s^2.) a)Find the distance (in meters) of the stone above ground level at time t. b)With what velocity does it strike the ground? (Round your answer to

*asked by John on November 13, 2011* -
## 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. a.Find all values of x where the graph of g has a critical value. b.For each critical value, state whether the

*asked by Gary on May 8, 2015* -
## Calculus

A car traveling at 42 ft/sec decelerates at a constant 7 feet per second squared. How many feet does the car travel before coming to a complete stop?

*asked by Izzy on April 26, 2012* -
## calculus

Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 1.1 times the width w of the rectangle If the cross-sectional area is A, determine the dimensions of the window which minimize the perimeter.

*asked by sam on April 1, 2013* -
## calculus

a boat leaves a dock at 2:00 pm and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 3:00 pm. at what time were the two boats closest together

*asked by LALA on November 14, 2011* -
## calculus

3. For what value of k will x+k/x have a relative maximum at x = -2? A. -4 B. -2 C. 2 D. 4 E. None of these

*asked by Taeyeon on February 26, 2012* -
## Calculus

The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant? A. 1/2 B. 1 C. Sqrt 2 D. 2

*asked by Anonymous on October 26, 2014* -
## calculus

In the space below, provide the smaller of the two positive integers that add to 40 and have the largest possible product

*asked by emma on April 22, 2015* -
## Calculus

A baseball team plays in a stadium that holds 53,000 spectators. With ticket prices at $10, the average attendance had been 49,000. When ticket prices were lowered to $8, the average attendance rose to 51,000. (a) Find the demand function (price p as a

*asked by Anonymous on July 15, 2012* -
## Calculus

Gloria would like to construct a box with volume of exactly 45ft^3 using only metal and wood. The metal costs $15/ft^2 and the wood costs $6/ft^2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is

*asked by Dave on November 4, 2015* -
## calculus

4. When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is A. 1/4pi B.1/4 C.1/pi D. 1 E.pi

*asked by Taeyeon on February 26, 2012* -
## calculus

If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t − 1.86t2. (Round your answers to two decimal places.) What is the average speed over the given time intervals? (i) [1, 2] (ii) [1, 1.5]

*asked by John on January 31, 2018* -
## Calculus

A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline from P is the closest source of fresh water. If it costs 1.4 times as much money to

*asked by Anonymous on April 26, 2012* -
## Calculus

For f(x)=(1-x)/(1+x) and g(x)=x/(1-x) , find the simplified form for f [g(x)] and state the domain

*asked by Tom on May 27, 2015* -
## Calculus

If an arrow is shot upward on Mars with a speed of 54 m/s, its height in meters t seconds later is given by y = 54t − 1.86t2 (i) [1, 2](ii) [1, 1.5] (iii) [1, 1.1] (iv) [1, 1.01] (v) [1, 1.001] (b) Estimate the speed when t = 1.

*asked by Hector on July 12, 2017* -
## Calculus

An airplane flys at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast is the angle of elevation of the kangaroo's line of sight increasing when

*asked by Hailey on October 7, 2014* -
## Calculus

A parcel delivery service will deliver a package only if the length plus the girth (distance around, taken perpendicular to the length) does not exceed 100 inches. Find the maximum volume of a rectangular box with square ends that satisfies the delivery

*asked by Anonymous on November 1, 2011* -
## Calculus

he table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours. (10 points) a. Estimate the value of T'(8). Give units in your answer. b. What is the meaning of

*asked by Student on December 8, 2017* -
## calculus

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.5

*asked by mike on March 31, 2013* -
## calculus

2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] . a. Find the absolute maximum and minimum values of f(x) b. Find the intervals on which f is increasing. c. Find the x-coordinate of each point of inflection of the graph of f.

*asked by Yoona on January 2, 2012* -
## calculus

1. If 3x^2+2xy+y2=2 then the value of dy/dx x = 1 is A. -2 B. 0 C. 2 D. 4 E. not defined

*asked by Taeyeon on February 26, 2012* -
## CALCULUS

Sketch the region enclosed by the given curves. y = 4/X y = 16x, y = 1X/16 x > 0 and the area between the curves

*asked by LAUERN PLEASE HELP on April 12, 2014* -
## Calculus

The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours. (10 points) a. Estimate the value of T'(6). Give units in your answer. b. What is the meaning of

*asked by Tom on May 15, 2015* -
## calculus

If 800 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed? Answer to the nearest square foot without commas. For example, if the answer is 1,000, write 1000.

*asked by emma on April 22, 2015* -
## calculus

2. The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture has 10,000 bacterial initially, 20,000 bacteria at time t1 minutes, and 100,000 bacteria at (t1 + 10) minutes.

*asked by naseba on March 30, 2012* -
## calculus

Find an interval of length 0.1 in [1, 2] containing a root of the equation. (Enter your answer using interval notation.) x7 + 7x − 10 = 0

*asked by patel on September 22, 2012* -
## Calculus

A piece of wire 40cm long is cut into two pieces. One piece is bent into the shape of a square and the other is bent into the shape of a circle. How should the wire be cut so that the total area enclosed is a) a maximum? /b) a minimum? Perimeter of square

*asked by sh on January 20, 2010* -
## Calculus

Suppose the integral from 2 to 8 of g of x, dx equals 5, and the integral from 6 to 8 of g of x, dx equals negative 3, find the value of the integral from 2 to 6 of 2 times g of x, dx . 8 MY ANSWER 12 16 4

*asked by Lilly on March 15, 2016* -
## Calculus

A rectangular recreational field needs to be built outside of a gymnasium. Three walls of fencing are needed and the fourth wall is to be a wall of the gymnasium itself. The ideal area for such a field is exactly 250000ft2. In order to minimize costs, it

*asked by Erik on November 4, 2015* -
## calculus

The area A = πr2 of a circular puddle changes with the radius. At what rate does the area change with respect to the radius when r = 5ft?

*asked by Anonymous on December 17, 2014* -
## calculus

If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.

*asked by jake on January 19, 2015* -
## calculus

Estimate the area under the curve f(x) = x2 from x = 1 to x = 5 by using four inscribed (under the curve) rectangles. Answer to the nearest integer.

*asked by rae on February 9, 2018* -
## Calculus

Consider the curve defined by y + cosy = x +1 for 0 =< y =< 2pi.... a. Find dy/dx in terms of y. *I got 1/(y-siny) but I feel like that's wrong. b. Write an equation for each vertical tangent to the curve. c. find d^2y/dx^2 in terms of y. d. Sketch a graph

*asked by Penny on January 24, 2012* -
## calculus

You are designing a rectangular poster to contain 256 in^2 of printing with a 3-in. margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used?

*asked by Anonymous on March 2, 2008* -
## Calculus

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

*asked by Someone on January 11, 2017* -
## calculus

A woman 5.5 ft tall walks at a rate of 6 ft/sec toward a streetlight that is 22 ft above the ground. At what rate is the length of her shadow changing when she is 15 ft from the base of the light?

*asked by Anonymous on March 2, 2008* -
## Calculus

The rate of change of the population of a small town is dP/dt=kP Where P is the population, t is the time in years and k is the growth rate. If P=20000 when t=3 and P=30000 when t=5, what is the population when t=10? Round your answer to the nearest

*asked by E on December 4, 2015* -
## Calculus

If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t − 1.86t2. (Round your answers to two decimal places.) What is the average speed over the given time intervals? (i) [1, 2] (ii) [1, 1.5]

*asked by Nick on January 31, 2018* -
## calculus

Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter. Dimensions: Minimum Perimeter:

*asked by casidhe on April 20, 2012* -
## calculus

The point P(4, −2)lies on the curve y = 2/(3 − x). (a) If Q is the point(x, 2/(3 − x)),use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. 1) 3.9 mPQ= 2) 3.99 mPQ= 3)3.999

*asked by student on August 28, 2012* -
## 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 + 5xyj + 4y2k. I have tried multiple times to solve this problem but the

*asked by Jessica on December 8, 2014* -
## Calculus

Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −2 and a local minimum value of 0 at x = 1.

*asked by Benjamin on November 12, 2012* -
## Calculus

1) 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. 2) The driver of a car traveling at 50 ft/sec suddenly applies the brakes. The

*asked by James on October 2, 2017* -
## Calculus

Find the linearization L(x) of y=e^(7x)ln(x) at a=1. L(x)=

*asked by Reonea on October 30, 2011* -
## calculus

A conical water tank with vertex down has a radius of 12 feet at the top and is 23 feet high. If water flows into the tank at a rate of 20 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 17 feet deep?

*asked by Mike on November 30, 2012* -
## Calculus

For a cylinder with a surface area of 90, what is the maximum volume that it can have? Round your answer to the nearest 4 decimal places. The volume of a cylinder is πr^2*h and the surface area is 2πrh+2πr^2.

*asked by John on November 4, 2015* -
## Calculus

A 0.2 ml dose of a drug is injected into a patient steadily for 0.75 seconds. At the end of this time, the quantity, Q, of the drug in the body starts to decay exponentially at a continuous rate of 0.2 percent per second. Using formulas, express Q as a

*asked by Abigail on February 6, 2011* -
## Calculus

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this

*asked by Michelle on November 5, 2015* -
## Calculus

Find constants a and b in the function ax^b/ln(x) such that f(1/5)=1 and there is a local min at x=1/5

*asked by Tanner on October 20, 2015* -
## calculus

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 12 cm, the edge length of the

*asked by george on January 17, 2015* -
## Calculus

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

*asked by Ke$ha on January 5, 2017* -
## 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?

*asked by Kathleen on November 25, 2014* -
## calculus

Consider the given function and the given interval. f(x) = 4 sin x − 2 sin 2x, [0, π] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). (Round your answers to three decimal places.) c = (smaller value)

*asked by James on February 11, 2013* -
## calculus

If f(x) = 3 cos^2(x) − 6 sin(x) 0 ≤ x ≤ 2π Find the intervals of increase and decrease, the intervals of concave up and concave down, local maximum values, local minimum values, and inflection point

*asked by SIRI on October 17, 2014* -
## calculus

If f is the focal length of a convex lens and an object is placed at a distance p from the lens, then its image will be at a distance q from the lens, where f, p, and q are related by the lens equation 1/f = 1/p + 1/q What is the rate of change of p with

*asked by Sam on May 6, 2011* -
## Calculus

An electrical circuit switches instantaneously from a 2 volt battery to a 20 volt battery 3 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the function represented by

*asked by Abigail on February 5, 2011* -
## Calculus

A graphic designer is asked to create a movie poster with a 128 in^2 photo surrounded by a 4 in border at the top and bottoms and a 2 in border on each side. What overall dimensions for the poster should the designer choose to use the least amount of

*asked by Anonymous on October 21, 2015* -
## calculus

For trigonometric substitution to solve the above integral, fill in the blanks below using the picture of the triangle given. integral (x^3)/(sqrt(25+9x^2)) dx / l / l / l / l / l / l / l / l / l side A / l / l --------- side B *** sorry hard to draw on

*asked by Chiara on April 19, 2011* -
## calculus

A snowball is melting at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the snowball has a radius of 3 inches i tried (d/dt) = 4pir^2 (dr/dt) its multiple choice and -72pi isnt there so im just trying to

*asked by Thomas on August 28, 2015* -
## calculus

5. Let f be the function given by f(x) = x3- 7x + 6. a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = -1 c. Find the x coordinate of the point where the tangent line is parallel to the secant line on the interval [1,

*asked by Yoona on November 7, 2011* -
## Calculus

A particle moves along a line so that at any time t its position is given by x(t)=2(pi)t+cos(2(pi)t). Determine the particle's maximum velocity.

*asked by MEG on November 15, 2010* -
## Calculus

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

*asked by Someone on January 11, 2017* -
## Calculus

A wire 7 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total

*asked by Nope on April 7, 2015* -
## Calculus

I really need help with this problem an automobile accelerates from rest at 1 + 3(square root)t mph/sec for 9 seconds. How far does it travel in those nine seconds? I have found that the velocity, after nine seconds, is 63 I have figuredout the answer but

*asked by James on April 1, 2007* -
## Calculus

The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 386 square centimeters, find the dimensions of the poster with the smallest area.

*asked by Nathan on November 18, 2013* -
## Calculus

The circumference of a circle is increasing at a rate of 2pi/5 inches per minute. When the radius is 5 inches, how fast is the area of the circle increasing in square inches per minute? A. 1/5 B. pi/5 C. 2 D. 2pi E. 25pi

*asked by Anonymous on March 14, 2015* -
## Calculus

What is the smallest possible slope for a tangent to y=x^3 - 3x^2 + 5x? (I'm unsure how to approach this problem, if you know how to solve it, please explain step by step. THANK YOU!!!)

*asked by Suzy on November 28, 2014* -
## Calculus

How do I solve lim(x-->pi/4)(sinx-cosx)/cos(2x) The (x-->pi/4) goes below the lim. Should i just substitute the x's with pi/4??

*asked by Alex on February 21, 2009* -
## Calculus

Graph the curve. Find the exact length of the curve. x = 2et cos(t), y = 2et sin(t), 0 ≤ t ≤ π

*asked by Kaitlyn on January 19, 2016* -
## Calculus

Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to have the largest possible

*asked by Mishaka on December 16, 2011* -
## calculus

A particle moves on a line away from its initial position so that after t hours it is s = 6t^2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.

*asked by Anonymous on February 2, 2015* -
## Calculus

Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 5 seconds. The maximum rate of air flow into the lungs is about 0.5 L/s. This explains, in part, why the function

*asked by Elizabeth on April 27, 2012* -
## calculus

If the local linear approximation of f(x) = 2cos x + e2x at x = 2 is used to find the approximation for f(2.1), then the % error of this approximation is... greater than 15% between 11% and 15% between 5% and 10% between 0% and 4%

*asked by Anonymous on December 8, 2016* -
## Calculus

for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus. the integral from 1 to 3 ___ dt= __

*asked by bob on November 30, 2011* -
## Calculus

The base of an isosceles triangle is 8 feet long. If the altitude is 6 feet long and is increasing 3 inches per minute, are what rate are the base angles changing?

*asked by Claire on May 11, 2016* -
## Calculus

An equation of the line tangent to the graph of y=(2x+3)/(3x-2) at the point (1,5) is...do I take the derivative of y=(2x+3)/(3x-2) to find the slope and then plug that into y-5=m(x-1)?

*asked by Anonymous on November 18, 2007* -
## Calculus

If f is a function such that [(f(b)-f(a))/(b-a)]=2 , then which of the following statements must be true? a.f(a) = f(b) = 2 b.The slope of the tangent line to the function at x = a is 2. c.The average rate of change of the function on the interval [a, b]

*asked by Gary on May 7, 2015* -
## Calculus

For which pair of functions f(x) and g(x) below will the lim f(x)/g(x)equal 0 x-infinity f(x) e^x; g(x) = x^3 f(x) x^5; g(x) = e^x f(x) x^3; g(x) = ln(x) f(x) x^negative 2; g(x) = e^negative x

*asked by Gary on March 10, 2015* -
## calculus

c)The price (in dollars) p and the quantity demanded q are related by the equation: p2+2q2=1100. If R is revenue, dR/dt can be expressed by the following equation: dR/dt=A(dp/dt), where A is a function of just q. i)Find A. ii)Find dR/dt when q=20 and

*asked by chamberlain on October 27, 2012* -
## Calculus

A particle is moving around the unit circle (the circle of radius 1 centered at the origin). At the point (.6 , .8), the particle has horizontal velocity dx/dt=3. What is its vertical velocity dy/dt at that point? I don't know what equation to use or

*asked by Anna on December 7, 2010* -
## Calculus

The demand function for Sportsman 5 X 7 tents is given by the following function where p is measured in dollars and x is measured in units of a thousand. (Round your answers to three decimal places.) p = f(x) = -0.1x^2 - x + 40 (a) Find the average rate of

*asked by Shan on June 7, 2013* -
## Calculus

A metal cylindrical container with an open top is to hold 1 cubic foot. If there is no waste in construction, find the dimensions which will require the least amount of material.

*asked by Elizabeth on October 13, 2012* -
## Calculus

Water is running into an open conical tank at the rate of 9 cubic feet per minute. The tank is standing inverted, and has a height of 10 feet and a base diameter of 10 feet. At what rate is the radius of the water in the tank increasing when the radius is

*asked by Lacy on December 14, 2015* -
## calculus

Coroners estimate time of death using the rule of thumb that a body cools about 2 degrees F during the first hour after death and about 1 degree F for each additional hour. Assuming an air temperature of 78 degrees F and a living body temperature of 98.6

*asked by bob on November 18, 2010* -
## Calculus

The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point? Please help. Thanks in advance. We have x2=2xy - 3y2 = 0 Are there supposed to be 2 equal signs in this expression or is it x2 + 2xy - 3y2 = 0 ? I'll

*asked by Jen on October 15, 2006* -
## Calculus

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the rate of 2 cm^3/min. At what rate is the depth of the water changing at the instant when the water in the tank is 8 cm deep?

*asked by LilPeep on December 22, 2017* -
## Calculus

A piece of elastic is attached to two nails on a flat board, with a button attached to the midpoint of the elastic. The nails are 5 cm apart. You stretch the elastic by pulling the button along the board in a direction that is perpendicular to the line

*asked by Mishaka on January 15, 2012* -
## Calculus

Which of the following integrals cannot be evaluated using a simple substitution? I think it is A because if you would substitute there would be nothing left in the equation? Is that right? Options ∫√(x-1) ∫1/√(1-x^2) ∫x/√(1-x^2) ∫√(x^2-1)

*asked by Henry on January 2, 2016* -
## Calculus

Find a formula for the fourth degree polynomial p(x) whose graph is symmetric about the y-axis (meaning it has no odd powers of x), and which has a y-intercept of 10, and global maxima at (3,253) and (−3,253).

*asked by Dana on April 7, 2013* -
## Calculus

A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air resistance can be ignored, how high does it go?

*asked by Anonymous on February 2, 2011* -
## calculus

1. The radius of a sphere is r inches at time t seconds. Find the radius when the rates of increase of the surface area and the radius are numerically equal. A 1/4π in B 1/5π in C 1/3π in D 1/8π in E 1/2π in

*asked by Anonymous on March 20, 2013* -
## Calculus

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 16cm and a height of 8cm, at the rate of 4 cm^3/min. At what rate is the depth of the water changing at the instant when the water in the tank is 6 cm deep? Show

*asked by Mel on January 8, 2016* -
## Calculus

approximate the change in the lateral surface area(excluding the area of the base of a right circular cone of fixed height of h=6m when its radius decreases from r=11m to r=10.9m S=(pi)r sqrt(r^2+h^2)

*asked by TK on May 5, 2016* -
## 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.

*asked by John on November 15, 2014* -
## Calculus

4. Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed by the graphs of f(x) = 18 – x^2 and g(x) = 2x^2 – 9.

*asked by Anonymous on January 16, 2012* -
## Calculus

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

*asked by Someone on January 11, 2017* -
## calculus

Let f be a differentiable function such that f(3) = 2 and f'(3) = 5. If the tangent line to the graph of f at x = 3 is used to find an approximation to a zero of f, that approximation is? So confused

*asked by Matt on April 21, 2011* -
## Calculus

A mineral deposit along a strip of length 8 cm has density s(x)=0.07x(8−x) g/cm for 0≤x≤8. Calculate the total mass of the deposit. Your answer must include units.

*asked by Melany on September 11, 2017* -
## Calculus

A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity v(t) is given by v(t)= t/(1+t^2). a). Determine the maximum velocity of the particle. Justify your answer. b). Determine the position of the

*asked by Rasheda on January 29, 2014*

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