calculus

Most popular questions
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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
  44. 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
  45. Calculus

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

    asked by Reonea on October 30, 2011
  46. 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
  47. 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
  48. 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
  49. 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
  50. 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
  51. 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
  52. 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
  53. 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
  54. 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
  55. 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
  56. 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
  57. 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
  58. 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
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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
  64. 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
  65. 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
  66. 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
  67. 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
  68. 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
  69. 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
  70. 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
  71. 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
  72. 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
  73. 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
  74. 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
  75. 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
  76. 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
  77. 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
  78. 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
  79. 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
  80. 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
  81. 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
  82. 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
  83. 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
  84. 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
  85. 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
  86. 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
  87. 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
  88. 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
  89. 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
  90. 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
  91. 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
  92. 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
  93. 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
  94. 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
  95. 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
  96. 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
  97. 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
  98. 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
  99. 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
  100. 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