calc

Most popular questions
  1. calc

    When the height of a cylinder is 12 cm and the radius is 4 cm, the circumference of the cylinder is increasing at a rate of pie/4 cm/m in, and the height of the cylinder is increasing four times faster than the radius. How fast is the volume of the

    asked by marrisa smith on November 30, 2016
  2. calc

    The differential equation dy dx equals the quotient of x and y squared. will have a slope field with negative slopes in quadrant I will have a slope field with positive slopes in all quadrants will produce a slope field with columns of parallel tangents

    asked by Anonymous on July 3, 2015
  3. Calc

    If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t − 1.86t^2. (a) Find the velocity of the rock after one second. (b) Find the velocity of the rock when t = a. (c) When will

    asked by Katrina on October 17, 2011
  4. calc

    Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1).

    asked by Anonymous on July 29, 2015
  5. calc

    Find the area of the region bounded by the curves y equals the inverse sine of x divided by 4, y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

    asked by Anonymous on June 29, 2015
  6. Calc

    The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function below, where I is the light intensity (measured in thousands of foot-candles). P = (120 I) / (I^2 + I + 1) For what light intensity

    asked by Aaron on November 30, 2009
  7. calc

    A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10. What is the velocity of

    asked by Anonymous on August 23, 2015
  8. Calc

    The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an exponential growth model for the

    asked by Erica on January 6, 2011
  9. calc

    Given the position function, s of t equals negative t cubed divided by 3 plus 13 times t squared divided by 2 minus 30 times t, between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle

    asked by Mel on January 8, 2016
  10. Calc

    If y=tanu, u=v-(1/v), and v=lnx. What is the value of dy/dx at x=e?

    asked by Sarah on December 6, 2016
  11. Calc

    Find the area of the region bounded by the curves y = sin^-1(x/6), y = 0, and x = 6 obtained by integrating with respect to y. Please include the definite integral and anti-derivative.

    asked by LilPeep on January 3, 2018
  12. Calc

    Let f be the function given by f(x) = tan x and let g be the function given by g(x) = x^2. At what value of x in the interval 0≤x≤π do the graphs of f and g have parallel tangent lines?

    asked by Erica on January 2, 2011
  13. calc

    A particle moves along the x-axis with velocity v(t) = t^2 − 1, with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = 2 seconds.

    asked by Anonymous on August 13, 2015
  14. Calc

    A car traveling at 43 ft/sec decelerates at a constant 5 feet per second squared. How many feet does the car travel before coming to a complete stop? i tried a few different equations, none of the worked. 43t - 5t^2 = 0 43 - 10t = 0 21.5t^2 - (5/3)t^3 = 0

    asked by Norris on November 23, 2006
  15. calc

    i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given by v(t) = 1 -

    asked by jane on April 2, 2009
  16. calc

    Nutrition Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 224 grams of protein and at

    asked by liz on September 16, 2011
  17. Calc

    Your velocity is given by v(t)=1 t2+2 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=8. Use the average of the left and right sums with 4 subdivisions.

    asked by Anonymous on July 17, 2014
  18. CALC

    Solve the Equation: 1. 2^x + 2^-x = 5 2. Log2x + log2(4 – x) = 0 thanks. i'm not sure how to approach this at all.

    asked by Jess on July 22, 2009
  19. Calc

    A voltage V across a resistance R generates a current I=V/R. If a constant voltage of 16 volts is put across a resistance that is increasing at a rate of 0.2 ohms per second when the resistance is 6 ohms, at what rate is the current changing? (Give units.)

    asked by Alisa on March 31, 2011
  20. calc

    Which of the following is the general solution of the differential equation dy dx equals the quotient of 8 times x and y?

    asked by Anonymous on July 1, 2015
  21. Calc

    Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm^3) Thank you so much!!

    asked by Erica on April 25, 2011
  22. Calc

    A rectangular page is to contain 30 sqaure inches of print. The margins on each side are 1 inch. Find the dimensions of the page sucha that the least amount of paper is used. A farmer plans to fence a rectangular pasture adjacent to a river. The pasture

    asked by Amber on July 7, 2017
  23. Calc

    A 100 inch piece of wire is divided into 2 pieces and each piece is bent into a square. How should this be done in order of minimize the sum of the areas of the 2 squares? a) express the sum of the areas of the squares in terms of the lengths of x and y of

    asked by katie on November 16, 2010
  24. Calc

    A beach ball is deflating at a constant rate of 10 cubic centimeters per second. When the volume of the ball is 256/3(pi) cubic centimeters, what is the rate of change of the surface area? (S=4(pi)r^2 and V=4/3(pi)r^3)

    asked by Riley on December 22, 2014
  25. calc

    A company runs food service concessions for sporting events throughout the country. Their marketing research department chose a particular football stadium to test market a new jumbo hot dog. It was found that the demand for the new hot dog is given

    asked by Dan on April 6, 2015
  26. calc

    Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4

    asked by ANONYMOUS on November 25, 2015
  27. Calc

    Write the summation to estimate the area under the curve y=2+sqrt(x) from x = 2 to x = 5 using 3 rectangles and right endpoints. ~the summation from i equals 2 to 5 of the quantity 2 plus the square root of i ~the summation from i equals 2 to 4 of the

    asked by Cassy on March 15, 2016
  28. Calc

    A buoy oscillates in simple harmonic motion as waves go by. The buoy moves a total of 3.5 feet from its low point to its high point and it returns to its high point every 10 seconds. What is the equation that describes this motion if it reaches its high

    asked by Emily on July 30, 2008
  29. calc

    lim x → ∞ tan−1(x7 − x9)

    asked by kirsten on February 15, 2015
  30. Calc

    A model for the food-price index (the price of a representative "basket" of foods) between 1984 and 1994 is given by the function I(t)=0.00009045t5+0.001438t4−0.06561t3+0.4598t2−.6270t+99.33 Where t is measured in years since midyear 1984, so

    asked by Anonymous on March 26, 2015
  31. calc

    how do you start this problem: integral of xe^(-2x) There are two ways: 1) Integration by parts. 2) Differentiation w.r.t. a suitably chosen parameter. Lets do 1) first. This is the "standard method", but it is often more tedious than 2) You first write

    asked by walex on May 15, 2007
  32. Calc

    Line L is tangent to the graph of y= x- (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing vertically at the top of the

    asked by Aparna on January 27, 2013
  33. CALC

    Use Newton's method to approximate a root of the equation x3+x+3=0 as follows. Let x1=–1 be the initial approximation. The second approximation x2 is _____? and the third approximation x3 is _____?

    asked by Adam on May 29, 2010
  34. Calc

    Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find the intervals of which F is increasing? Find X & Y coordinates of all relative max. pts? Find X and Y Coordinates of all relative min pts? Find the intervals of which F is concave

    asked by Alex on November 6, 2010
  35. Calc

    The marginal cost of manufacturing x yards of a certain fabric is C′(x)=3−0.01x+0.000006x2 (in dollars per yard). Find the increase in cost if the production level is raised from 3500 to 8500 yards. Increase in cost =

    asked by Danielle on April 28, 2015
  36. calc

    Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: 1 mph is 22/15 feet per sec =

    asked by Anonymous on April 17, 2015
  37. calc

    A pitcher throws a baseball straight into the air with a velocity of 72 feet/sec. If acceleration due to gravity is -32 ft/sec2, how many seconds after it leaves the pitcher's hand will it take the ball to reach its highest point? Assume the position at

    asked by ANONYMOUS on November 25, 2015
  38. calc

    Show that the equation x^3-15x+c=0 has at most one root in the interval [-2,2].

    asked by bill on February 28, 2011
  39. Calc

    A rocket is launched with an initial velocity of zero, and with acceleration in feet per second per second defined by: --------( 20e^(-t/2), for 0 10 seconds. Show all work. Thanks a lot!

    asked by Michael on February 22, 2008
  40. Calc

    Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = y i − x j + z2 k S is the helicoid

    asked by Anon on November 23, 2016
  41. Calc

    A manufacture has been selling 1300 television sets a week at $420 each. A market survey indicates that for each $16 rebate offered to a buyer, the number of sets sold will increase by 160 per week. If the weekly cost function is 91000+140x, what value of

    asked by Anonymous on March 25, 2015
  42. calc

    a man 6 feet tall is walking away from a lamp post at the rate of 60 feet per minute. when the person is 6 feet from the lamp post, his shadow is 12 feet long. find the rate at which the length of his shadow is increasing when he is 145 feet from the lamp

    asked by homestead high on November 3, 2016
  43. calc

    he base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are semicircles. What is the volume, in cubic units, of the solid?

    asked by Anonymous on June 27, 2015
  44. Calc

    At the time of the birth of a child, a parent wants to begin a college fund that will grow to $50000 by the child's 18th birthday. Interest is compounded continuously at 8.5%. What should the initial investment (P0) be?

    asked by Anonymous on April 18, 2011
  45. calc

    the volume of a cylindrical tin can with a top and a bottom is to be 16*pi cubic inces. if a minimum amont of tin is to be used to construct the can, what must be the height, in inches, of the can? volume of cyliner is pi*r^2*h do i like take derivitive of

    asked by david on December 8, 2006
  46. calc

    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 2 3 More than 3< my nswer

    asked by Mel on January 28, 2016
  47. Calc

    If x2 + y2 = 100 and dy/dt = 3, find dx/dt when y = 8.

    asked by Bryan on November 8, 2009
  48. Calc

    A plane is heading on a bearing of 200° with an air speed of 400 km/h when it is blown off course by a wind of 100 km/h from the northeast. Determine the resultant ground velocity of the plane.

    asked by Amy on February 21, 2015
  49. CALC

    An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 5 dollars per square foot and the cost to construct the four sides is 3 dollars per square foot, determine

    asked by Jessica on April 8, 2011
  50. calc

    Suppose the integral from 2 to 10 of g of x, dx equals 10 and the integral from 8 to 10 of g of x, dx equals negative 6, find the value of the integral from 2 to 8 of one-half times g of x, dx .

    asked by bri on May 24, 2018
  51. Calc

    A lighthouse is fixed 130 feet from a straight shoreline. A spotlight revolves at a rate of 11 revolutions per minute, (22 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 12 feet

    asked by Bubba on February 14, 2011
  52. Calc

    The graph of f ′(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false? The graph of f is always concave up. The graph of f has an inflection point at x = 0. The graph of f has a relative minimum at x =

    asked by Muhammad Ahmed on December 15, 2016
  53. calc

    1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 . a. Find the area of the region R. b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal area. c. Find the volume of

    asked by naseba on March 29, 2012
  54. Calc

    A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 13 cm. (Note the answer is a positive number).

    asked by Cc on November 20, 2015
  55. calc

    find a positive value of k such that the area of the region enclosed between y= kcosx and y=kx^2 is 2 i graphed cosx and x^2 without the k, so you know to find the integral of -a to a (its symmetric about the origin) would be the integral of kcosx - kx^2

    asked by Anonymous on December 23, 2007
  56. calc

    Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) − sin(t) and v(0) = 3.

    asked by Anonymous on June 14, 2015
  57. Calc

    The maker of an automobile advertises that it takes 13 seconds to accelerate from 25 kilometers per hour to 90 kilometers per hour. Assuming constant acceleration, compute the following. The acceleration in m/s^2 The distance the car travels during the 13

    asked by Kelly on November 18, 2016
  58. Calc

    Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3 , find the value of the integral from 2 to 5 of 3 times g of x, dx

    asked by Anonymous on February 26, 2017
  59. calc

    For an object whose velocity in ft/sec is given by v(t) = −3t2 + 6, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs?

    asked by Anonymous on June 27, 2015
  60. calc

    d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the

    asked by david on December 12, 2006
  61. Calc

    How do you integrate sin²x?

    asked by Erica on February 2, 2011
  62. Calc

    Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the

    asked by Tyler on May 1, 2013
  63. Calc

    Use a graph to estimate the limit: lim θ->0 (sin(5θ)/θ) Note: θ is measured in radians. All angles will be in radians in this class unless otherwise specified. I tried graphing it on my calculator but the limit I got is incorrect.

    asked by Josie on January 25, 2011
  64. calc

    A particle moves along the curve below. y = sqrt(8 + x^3) As it reaches the point (2, 4), the y-coordinate is increasing at a rate of 5 cm/s. How fast is the x-coordinate of the point changing at that instant?

    asked by kirsten on March 5, 2015
  65. Calc

    Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(-3.23x10-5h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is given by travelers is that

    asked by Andy on October 23, 2012
  66. Calc

    Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000

    asked by Anonymous on October 1, 2013
  67. Calc

    The wind chill is the temperature, in degrees Fahrenheit, a human feels based on the air temperature, in degrees Fahrenheit, and the wind velocity (v), in miles per hour (mph). If the air temperature is 32degrees Fahrenheit, then the wind chill is given by

    asked by Leannna on January 23, 2011
  68. Calc

    A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum

    asked by Pierre on October 28, 2010
  69. Calc

    Give a 4-term left Riemann sum approximation for the integral below. 16 ⌠ 3*((x+2)^(1/2)) ⌡ 12

    asked by Anonymous on July 17, 2014
  70. Calc

    A cup of coffee at 90 degrees celsius is put into a 30 degree celsius room when t =0 . The coffee's temperature, f (t ) , is changing at a rate given by f '(t )=-8(0 .8) t degrees celsius per minute, where t is in minutes. Estimate the coffee's temperature

    asked by Natalie on July 21, 2014
  71. Calc

    Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $12/ft2 and the wood costs $9/ft2. 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 to

    asked by Coc on November 4, 2015
  72. calc

    You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation

    asked by lc on November 2, 2011
  73. calc

    Give the starting value a, the growth rate r, and the continuous growth rate k. Round the answer for r to two decimal places Q = 0.414(e^0.885)^t a = ? r = ?% k = ?% I found a to be 0.414 but when finding the percentage for r and k I got stuck.

    asked by lenny on October 3, 2014
  74. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is

    asked by Aparna on January 27, 2013
  75. Calc

    When pi/2

    asked by Leanna on July 15, 2011
  76. calc

    Use the graph of f(t) = 2t + 4 on the interval [−4, 6] to write the function F(x), where f of x equals the integral from 2 to x of f of t dt.

    asked by Anonymous on August 3, 2015
  77. calc

    A girl of height 120 cm is walking towards a light on the ground at a speed of 0.6 m/s. Her shadow is being cast on a wall behind her that is 5 m from the light. How is the size of her shadow changing when she is 1.5 m from the light?

    asked by poo on July 15, 2017
  78. Calc

    The function j(x)=sqrt(x+1)+b/x^2 has a critical (turning) point at x = 3. Determine the value for the constant b. Show your work.

    asked by Anonymous on May 29, 2019
  79. Calc

    Find the linear approximation of the function g(x) = fifth root(1 + x) at a = 0. g(x)≈ 1+(x/5) Correct: Your answer is correct. Use it to approximate the numbers fifth root (0.95) and fifth root (1.1) (Round your answers to three decimal places.)

    asked by Anonymous on May 11, 2018
  80. Calc

    How do I evaluate lim as h->0 [5((1/2)+h)^4 - 5(1/2)^4]/h

    asked by Nick on January 6, 2009
  81. Calc

    Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 4x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.

    asked by LilPeep on January 3, 2018
  82. calc

    Use the graph of f(t) = 2t + 4 on the interval [−4, 6] to write the function F(x), where f of x equals the integral from 2 to x of f of t dt.

    asked by Anonymous on August 3, 2015
  83. calc

    Calculate the 5-unit moving average of the function f(x) = x^2/3

    asked by kyle on November 26, 2013
  84. calc

    evaluate the integral: y lny dy i know it's integration by parts but i get confused once you have to do it the second time Leibnitz rule (a.k.a. product rule): d(fg) = f dg + g df y lny dy = d[y^2/2 ln(y)] - y/2 dy ----> Integral of y lny dy = y^2/2 ln(y)

    asked by marsha on May 23, 2007
  85. Calc

    If f(x) = e^(sin x), how many zeros does f '(x) have on the closed interval [0, 2π]?

    asked by Erica on January 2, 2011
  86. Calc

    A a conical container of radius 5ft and height 20ft is filled to a height of 18ft of a liquid weighing 50.6lb/ft^3. How much work will it take to pump the contents to the rim? How much work will it take to pump the liquid of a level of 2ft above the rim?

    asked by Anonymous on February 10, 2013
  87. Calc

    Consider the cubic polynomial y=Ax^3 +6x^2 -Bx, where A and B are unknown constants. If possible determine the values of A and B so that the graph of y has a maximum value at x=-1 and an inflection point at 1.

    asked by Anonymous on January 8, 2012
  88. Calc

    If R = [−2, 2] × [−2, 0], use a Riemann sum with m = 4, n = 2 to estimate the value of (y2 − 2x2) dA. Take the sample points to be the upper left corners of the squares.

    asked by Anon. on October 11, 2016
  89. Calc

    Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that really confuses me.

    asked by Chelsea on September 20, 2010
  90. calc

    If a point moves on the hyperbola x^2-4y^2=36 in such a way that x-coordinate increases at constant rate of 20 units per second. How fast is the y coordinated changing at point (10,4)? please help!!! Differentiating implicitly with respect to t, 2 x dx/dt

    asked by keneth on November 9, 2006
  91. Calc

    A body of an unknown temperature was placed in a room that was held at 30°F. After 10 minutes, the body's temperature was 0°F, and 20 minutes after the body was placed in the room the body's temperature was 15°F. Estimate the body's initial temperature.

    asked by Erica on January 6, 2011
  92. Calc

    An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 3 km east of the refinery. The cost of laying pipe is $300,000 per

    asked by Aaron on November 30, 2009
  93. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is

    asked by Nicole on January 25, 2013
  94. calc

    a) A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 40 ft/s^2. What is the distance covered before the car comes to a stop? b) A car braked with a constant deceleration of 40 ft/s^2 and produced skid

    asked by Jill on November 22, 2009
  95. Calc

    Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 0.5 times the width w of the rectangle (as shown in the figure below). If the cross-sectional area is A, determine the dimensions of the

    asked by Storme on April 9, 2016
  96. Calc

    Let f be the function given by f(x)=2ln(x^2+3)-x with domain -3 is less than or equal to x which is less than or equal to 5 a) Find the x-coordinate of each relative maximum point and each relative minimum point of f. Justify your answer. b) Find the

    asked by Bob on January 8, 2009
  97. Calc

    A person deposits money into a retirement account, which pays 7% interest compounded continuously, at a rate of $1000 per year for 20 years. Calculate: a. The balance of the account at the end of 20 years b. the amount of money actually deposited into the

    asked by James on April 8, 2008
  98. calc

    Find the interval on which the curve y= integral x to 0 of 6/(1+2t+t^2) dt is concave upward

    asked by Anonymous on June 7, 2015
  99. calc

    When 30 orange trees are planted per acre each tree yields 150 oranges For each additional tree per acre, the yield decreases by 3 oranges per tree. Express the total yield of oranges per acre, Y , as a function of the number of trees planted per acre, x,

    asked by sara on December 2, 2013
  100. calc

    An object has a constant acceleration of 30 ft/sec2, an initial velocity of −10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object.

    asked by Anonymous on June 29, 2015

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