1. calculus

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. y = 6 − x y = 0 y = 5 x = 0

    asked by ME on January 23, 2012
  2. Calculus 2

    Find the volume of the solid generated by revolving the region bounded by the graphs of the quations about the x-axis. Y=x^2+4 Y=-x^2+2x+8 X=0 X=3

    asked by Gabby on November 9, 2017
  3. Calculus Voulme

    find the volume of the solid generated by revolving the region r bounded by the graphs of the given equations about the y-axis. x^2+y^2=1 x=1 y=1

    asked by Laurie on July 19, 2012
  4. Calculus

    Find the volume or the solid generated by revolving around the region bounded by the graphs of the equations about line x=6. xy=6, y=2, y=6, and x=6

    asked by Christina on May 29, 2012
  5. Calculus

    I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 and y = 2-x^2 about the

    asked by Daisy on January 16, 2017
  6. calculus

    find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=2sqrtx, y=o, x=3 about the x-axis.

    asked by carlton on May 2, 2012
  7. Calculus

    "Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations about the indicated lines: y = 2x^2 y = 0 x = 2 About the line y = 8"

    asked by Stuck on April 18, 2010
  8. Math (Calculus)

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. (Use Disc Method) y=3(2-x), y=0, x=0

    asked by Sherman on May 9, 2014
  9. Calculus

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :)

    asked by Pan on March 29, 2008
  10. Calculus

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :)

    asked by Sun on March 27, 2008
  11. Calculus

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = 0.5x^2, y = 2, and x = 0 about the line y = 2. A. 8pi/15 B. 32pi/15 C. 64pi/15 D. 4pi/15 E. 16pi/15

    asked by Anonymous on March 31, 2017
  12. Calc

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = sin x, y = 0, x = 0 I just need help setting up the formula. So far I got V= the integral from 0 to pi of [(sin²x) - 0²]dx. Is

    asked by Erica on February 2, 2011
  13. calculus

    1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=-6, and y=7. Show all work required in

    asked by katarina on May 15, 2012
  14. calculus

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis. x = y(25 − y2)^1/2 x = 0 the y-axis

    asked by Morgan on February 3, 2011
  15. calculus

    Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 a)the line x = 4

    asked by ReinaS on January 26, 2012
  16. Math (Calculus)

    Use the disc method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. y=x^3, y=0, x=2 a)the x-axis b)the line x=4

    asked by Sherman on May 10, 2014
  17. math

    Find the volume of the solid generated by revolving the region bounded by y= x^(1/2), y= 0, and x= 3 revolving around the y-axis.

    asked by Danelle on September 1, 2012
  18. college, math

    find the bolume of the solid generated by revolving the region bounded by the graphs of y=sqrt x , y=0, and x=4 about the x axis

    asked by denise on April 29, 2010
  19. calculus

    Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. (Round your answer to three decimal places.) y = e^−x y=0 x=0 x=7 I got the answer ~10.783 Idk why it's wrong

    asked by NAN on January 23, 2012
  20. Calculus

    Can you please check to see if these answers are correct? I have provided my work as well! That you! This is much appreciated!! 1. What is the volume of the solid that is generated by revolving the region bounded by the curves x = 3y^2-2 and x = y^2 and y

    asked by Daisy on January 23, 2017
  21. calculus

    Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 the x-axis,the y-axis,and the line x = 4

    asked by Meltnd on January 26, 2012
  22. calculus

    Find the volume of the solid generated by revolving about line x = -4 the region bounded by x = y - y^2 and x = y^2 - 3

    asked by Ryan on November 10, 2011
  23. calc

    Find the volume of the solid generated by revolving the region bounded by y=e^(5/2x),y=0,x=1, and x=5 about the x-axis.

    asked by Sarah on June 29, 2016
  24. calculus 2

    find the volume of the solid obtained by revolving the region bounded by the graphs of y=2+4x-x^2 and y=2 about the line y=2.

    asked by hadia on September 5, 2011
  25. Calculus

    find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the y-axis

    asked by Ke$ha on April 29, 2017
  26. calculus

    Find the volume of the solid formed by revolving the region bounded by the graphs of y=3-(x^2) and y=2 about the line y=2

    asked by karlei on April 16, 2010
  27. Calc Desperate

    can anyone help me with the last problem # 14 Find the volume of the given solid generated by revolving the regions bounded by the graphs of the equations about the given lines. 14. y=6-2x-x^2, y=x+6 a. the x-axis b. the line y=3

    asked by Liz on February 23, 2018
  28. Can no one help?!

    1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 -3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^-x, and y= 3 about y= 5. I'm

    asked by Mia on March 3, 2011
  29. Calculus

    Find the volume of the solid formed by revolving the region bounded by the graphs of y=4x^2 and y=16 about the x-axis. (Washer Volume)

    asked by john on January 31, 2010
  30. Math

    Find the volume of the solid generated by revolving the region bounded by y= 5 cosh (x) and y= 5 sinh (x) between x = 0 and x = 1 about the x-axis

    asked by Jose on February 11, 2012
  31. Volume of a solid - calculus

    Find the volume of the solid generated by revolving the region bounded by the curves: y=2 Sqrt(x), y=4, x=0 about the x-axis

    asked by Jess on December 9, 2011
  32. Volume

    Find the volume of the solid generated by revolving the region bounded by the given curves and line about the y-axis. y=50-x^2 y=x^2 x=0

    asked by Jamie on July 19, 2012
  33. Calculus

    'Find the volume of the solid generated by revolving the region bounded by x=16-y^2, x-axis, and y-axis around the x-axis.' I know in theory how to do it, but I'm a little confused by what constitutes the bounded region because it's a sideways parabola,

    asked by CodyL on January 8, 2018
  34. poly

    the volume of the solid generated by revolving infinite region bounded by x-axis, x=k, and y=1/x+2 in the first quadrant about the x-axis to generate a solid. Find the volume of the solid.

    asked by Baohua on November 1, 2010
  35. math

    1) A region is bounded by the line y = x and the parabola y = x2 - 6x + 10. What is the volume of the solid generated by revolving the region about the x-axis?

    asked by arun on April 6, 2011
  36. math

    1) A region is bounded by the line y = x and the parabola y = x2 - 6x + 10. What is the volume of the solid generated by revolving the region about the x-axis?

    asked by arun on April 6, 2011
  37. Calculus

    Use the disk method to find the volume of the solid generated by revolving about the y-axis the region bounded by the curves y=8−x^2 and the curve y=x^2.

    asked by Travis on April 26, 2017
  38. calculus

    Hi, I have the following HW question and I'm a little confused: Find the volume of the solid generated by revolving the region bounded by y=1/sqrt(x) and y=0 for 1

    asked by camryn on May 5, 2017
  39. Calculus

    Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the y-axis. I'm supposed to use this equation right? piR^2-x^r^2. and then change y=x^2 to x=sqrty. That's all I got.

    asked by John on January 22, 2016
  40. Calculus I

    Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y =x^3, y = 1, and x = 2, about the line x = 2?

    asked by Jer on April 22, 2016
  41. Calculus

    1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 -3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^-x, and y= 3 about y= 5.

    asked by Mia on March 1, 2011
  42. calculus

    determine the volume of the solid of revolution generated by revolving the region bounded by y=x^3-x^5, y=0, x=0 and x=1 about the line x=3

    asked by jump on December 4, 2012
  43. calculus

    Sketch the region R bounded by the graphs of the equations and find the volume of the solid generated if R is revolved around the x axis. x= y^2 x-y =2

    asked by casquibaldo on May 2, 2012
  44. calculus

    sketch the region R bounded by the graphs of the equations, and find the volume of the solid generated if R is revolved about the x axis when y=x^2 y=4-x^2

    asked by dario on May 2, 2012
  45. MATH

    Find the volumes of the solids generated by revolving the region in the first quadrant bounded by the following about the given axes. x = y - y3, x = 1, y = 1 (b) Revolved about the y-axis ? Hi Shawn, 97/105 * pi ? :) We need to cut away the volume of the

    asked by Shawn on February 9, 2007
  46. Halfway solved-calc

    So I'm trying to solve this problem but one thing I don't get is, how do I know which method to use just by looking at the graph (disk, washer, or shell)? Find the volume of the solid generated by revolving the region bounded by the graphs y=x^2- 4x+ 5 and

    asked by Hannah on May 22, 2013
  47. Calculus

    5. Find the volume of the solid generated by revolving the region bounded by y = x2, y = 0 and x = 1 about (a) the x-axis (b) the y-axis

    asked by Maryam on June 5, 2013
  48. calculus

    Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, and on the left by the y-axis. Rotate the region about the line

    asked by ashley on May 23, 2011
  49. AP Calculus AB

    Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the y-axis 39pi/2 225pi/2 735pi/2 None of these I got 39pi/2

    asked by Vikram on March 7, 2016
  50. Calculus

    Use the shell method to set up, but do not evaluate, an integral representing the volume of the solid generated by revolving the region bounded by the graphs of y=x^2 and y=4x-x^2 about the line x=6. I had the shell radius as (6-x) and the shell height as

    asked by Ryan on March 8, 2011
  51. calculus

    Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16 - x2, below by the x-axis, and on the right by the y-axis, about the line x = 1 I have gathered, that

    asked by Tiffany on April 12, 2013
  52. cal

    Solve the problem. Find the volume of the solid generated by revolving the region bounded by the curve y=lnx, the x-axis, and the vertical line x=e^(2) about the x-axis.

    asked by tony on December 23, 2013
  53. Calculus

    Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded by the curve y=x^2, below by the x-axis, and on the right by the line x=1, about the line x=-2

    asked by Becca on January 24, 2012
  54. Math

    Find the volume of the solid generated by revolving the following region about the given axis The region in the first quadrant bounded above by the curve y=x^2, below by the x-axis and on the right by the line x=1, about the line x=-4

    asked by jake on September 11, 2012
  55. calculus

    Consider the region bounded by the parabola y=x^2 and the line y=16 . (a) What is the volume of the solid generated when revolving this region about the line y=16 ?

    asked by Sam on January 16, 2011
  56. math

    Find the volume of a solid generated by revolving the region bounded by y=secx and y=0 and x=0, x-pi/4 about the x axis. Don't evaluate. Please help!!!! Also, what si the average value of this equation? I don't understand what that means.

    asked by olivie on April 18, 2011
  57. Calculus

    Let R be the region bounded by the y-axis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the x-axis. Find the exact volume of the solid.

    asked by ronnieday on March 23, 2012
  58. Calculus

    Let R be the region bounded by the y-axis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the x-axis. Find the exact volume of the solid.

    asked by ronnieday on April 20, 2012
  59. Math

    I am in Calculus and am currently learning how to find the Area of a Surface of Revolution. I cannot understand what the surface of revolution (whether it's the x-axis, y-axis, or y=6) is. For example, I had a problem saying to use the washer method to

    asked by Suzie on December 13, 2007
  60. math

    Finf the volume of the solid generated by revolving the region bounded by the curve. x=2/(y+1), x=0, y=0, y=3, about y-axis. My ans is pie unit^3. Is it correct? if wrong can i know the right calculation.

    asked by ifi on December 21, 2012
  61. calculas(URGENT..... PLEASE....)

    1) A region is bounded by the line y = x and the parabola y = x2 - 6x + 10. What is the volume of the solid generated by revolving the region about the x-axis? would u please give the explanation with a detailed steps to the answer because i am not able to

    asked by arun on April 12, 2011
  62. Calculus

    We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,

    asked by Hannah on May 22, 2013
  63. Calculus

    We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1,

    asked by Hannah on May 21, 2013
  64. calculus

    Give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the x-axis, the lines x=1 and x=e, about the y-axis

    asked by josh on March 5, 2010
  65. calculus

    find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R f(x,y)=2x^2 y;R is the region bounded by the graphs of y=x and y=x^2

    asked by sol on April 5, 2012
  66. Math

    Find the volme of the solid generated by revolving the region bounded by the triangle with vertices (1,1) (1,3) and (2,3) about the x axis using shells and washers.

    asked by Danielle on September 30, 2010
  67. Calculus

    Find the volume of the solid generated by revolving the region bounded by the line y=5x+6 and the parabola y=x^2 about the following lines: a) the line x=6 b) the line x=-1 c)the x axis d) the line y=36 Thanks!

    asked by h on September 16, 2012
  68. Maths

    A.Find the area of the region bounded above by y=2cosx and above by y=secx,-π/4≤x≤π/4. B.Find the volume of the sold generated by revolving the region in (A) above about the x-axis

    asked by Sammy on April 22, 2017
  69. calculus

    Find the volume generated by revolving about the x-axis the region bounded by the following curves y=sqrt/(4x+3),x=0,x=4, and y=0. (Use "pi" for π).

    asked by SARAH on June 29, 2016
  70. calculus

    Find the volume generated by revolving the region bounded by y=18x-3x^2 and y=9x about the y-axis. a. pi/12 b. pi/6 c. 3pi/4 d. pi/3 help! .. :D

    asked by norm on April 29, 2011
  71. Calculus

    Find the volume, in cubic units, generated by revolving the region bounded by y = x3 , x = 0, and y = 8, around the line x = 7 .

    asked by Beth on December 3, 2011
  72. Calculus

    This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of the solid formed by

    asked by Jillian on April 5, 2008
  73. Calc 2

    Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = x + 2 and the parabola y = x^2 about the following lines: a) The line x=2 b) The line x=-1 c) The x axis d) The line y=26 I know what the

    asked by Nathan on October 3, 2016
  74. Calculus AP

    Let R be the region bounded by the graphs of y=cos((pi x)/2) and y=x^2-(26/5)x+1. A. Find the area of R. B. The vertical line x=k splits the region R into two equal parts. Write, but do not solve, an equation involving integrals that solves for k. C. The

    asked by Jess on March 1, 2013
  75. Maths

    Find volume of solid generated by revolving around region y=x^(1÷2) and y=2,x=0 about 1)x=0 2)y=2

    asked by Edward on November 6, 2016
  76. calculus

    Find the volume of the solid formed by revolving the region bounded by y=1-x, y=x-4, x=0 about x=7

    asked by Beth on December 6, 2011
  77. calculus

    find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3,y=1, and x=2 about the x-axis using the disk method. 9 express the answer in terms of pie) i got the answer to be 3/5 pie but im not sure if is right. i used the

    asked by Nancy on February 3, 2010
  78. Math calculus 2

    Find the volume of the solid generated by revolving the given region about the line x=16: y=4-x,y=0,y=2,x=0.

    asked by Andrew on February 16, 2018
  79. Calculus - Volume by Integration

    Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis: y=(x-2)^3-2, x=0, y=25 (a)solve by either the disk or washer method (b)solve by the shell method (c)state which method is easiest to

    asked by Nicole on November 24, 2013
  80. Calculus

    Find the volume of the solid formed by revolving the region bounded by y=x^3, x=2 and y=1 about the y-axis. Please help =(

    asked by Hannah on May 26, 2011
  81. Pre Calc

    Find the volume of the solid formed by revolving the region bounded by y = 16 - x^2 and y = 0 about the x-axis .

    asked by Beth on December 3, 2011
  82. math

    Find the volume of the solid formed by revolving the region bounded by f(x)= 2-x^2 and g(x)=1 about the line y=1.

    asked by may on April 23, 2015
  83. Integral calculus

    Use the cylindrical shell method to find the volume of the solid generated by revolving the area bounded by the given curves (x-3)^2 + y^2 = 9, about y-axis.

    asked by Anonymous on May 16, 2016
  84. calculus

    Find the volume of the solid generated by revolving the region delimited by 5x+5y=40, y=0, and x=0 about the x-axis.

    asked by Jess on December 9, 2011
  85. Math

    Find the volume of the solid generated by revolving the region bounded by y=x+(x/4), the x-axis, and the lines x=1 and x=3 about the y-axis. I've drawn the graph and I understand which part is being rotated, but I'm having trouble setting up the equation.

    asked by Eliana on April 30, 2015
  86. calculus

    Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = -3/2. Find the area of the region enclosed by the two curves. c. suppose c = 0.

    asked by mary on March 24, 2010
  87. Calculus

    Let 𝑆 be the region (in the first quadrant) bounded by a circle 𝑥^2 + 𝑦^2 = 2, 𝑦^2 = 𝑥 and the 𝑥-axis (ii) Find the volume of the solid generated by rotating the region 𝑆 about the 𝑦-axis (c) Find the surface area of the solid

    asked by Desperate Student on April 20, 2016
  88. calculus

    Let A be the bounded region enclosed by the graphs of f(x) = x , g(x) = x3 . Find the volume of the solid obtained by rotating the region A about the line x + 2 = 0.

    asked by me on October 31, 2010
  89. Calculus

    Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the volume of the solid generated when R is revolved around the line y=pi. B. Fine the volume

    asked by Anonymous on April 19, 2015
  90. calculus

    let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4. a) find the area of R b) the horizontal line y = -2 splits the region R into parts. write but do not evaluate an integral expression for the area of the part of R that is

    asked by sarah on May 20, 2008
  91. math

    let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4. a) find the area of R b) the horizontal line y = -2 splits the region R into parts. write but do not evaluate an integral expression for the area of the part of R that is

    asked by ana on May 21, 2008
  92. Calculus - Integrals

    Find the volume of the solid of revolution obtained by revolving region bounded by the parabolas 2y=x^2 and y^2=4x about the x-axis

    asked by Anonymous on December 2, 2016
  93. Calculus

    Find the volume of the solid generated by revolving the region enclosed in the triangle with vertices (4.6,4.6), (4.6,0), (6.7,4.6) about the x-axis.

    asked by George on September 17, 2008
  94. calculus

    Use the shell method to find the volume of the solid generated by revolving the plane region about the line x = 9. y = 7x − x2 y = 0

    asked by DER23849 on January 25, 2012
  95. Math calculus 2

    Find the volume of the solid generated by revolving the region enclosed by the curves y=5*(sqrt(x)), y=0, and x=2 about the line x=9.

    asked by James on February 16, 2018
  96. Calculus - Volume By Integration

    Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis: y=(x-2)^3-2, x=0, y=25 Solve by either the disk or washer method. I calculated the volume using the shell method and got 1250pi. However,

    asked by Nicole on November 25, 2013
  97. calculus

    1. Let R be the region in the first quadrant enclosed by the graphs of y=4-X , y=3x , and the y-axis. a. Find the area of region R. b. Find the volume of the solid formed by revolving the region R about the x-axis.

    asked by Taeyeon on March 9, 2012
  98. Calculus

    The following are about an infinite region in the 1st quadrant between y=e^-x and the x-axis. A) Find the area of the region B)Find the volume of the solid generated by revolving the region about the y-axis

    asked by Tim on April 28, 2014
  99. math

    Let S be a region bounded by the curve y=x+cosx and the line y=x as shown in the given figure. Find the volume of the solid generated when S is rotated about the x-axis. Find the volume of the solid generated when S is rotated about the y-axis.

    asked by ani on May 20, 2015
  100. calc

    Find the volume of the solid generated by revolving the given region in the 1st quadrant about the y-axis: y=10x^2,x=0,y=810.

    asked by Sarah on June 29, 2016