Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3x^2, x=1, y=0, about the x-axis

118,368 results
  1. calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves y = x^8, y = 1 about the line y = 5.

  2. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=π/2 about the line y=1.

  3. Calculus

    a) Find the volume formed by rotating the region enclosed by x = 6y and y^3 = x with y greater than, equal to 0 about the y-axis. b) Find the volume of the solid obtained by rotating the region bounded by y = 4x^2, x = 1, and y = 0 about the x-axis. c)

  4. Math

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin x, y = 8 cos x, 0 ≤ x ≤ π/4; about y = −1

  5. calculus

    Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 9 - 9x^2 , y = 0 Find the volume V of this solid. Sketch the region, the solid, and a typical disk or washer. Any help or tips would be greatly

  6. Calculus 2

    Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=1/x, y=0, x=1 and x=4 about the line y=−1

  7. calculus

    1. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = ln(5x), y = 1, y = 3, x = 0; about the y-axis 2. Use the method of cylindrical shells to find the volume V generated by rotating the

  8. calculus

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y^2 = 2x, x = 2y; about the y-axis

  9. calculus

    1. Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = sin(x), y = 0, π/2 ≤ x ≤ π; about the x−axis 2. Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 3

  10. calculus

    Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy = 2, x = 0, y = 2, y = 4

  11. Ap calc

    Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x + y = 3, x = 4 − (y − 1)^2

  12. calculus help

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4(square root of (3y)), x = 0, y = 3; about the y-axis V=?????

  13. K

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3e^(-x), y = 3, x = 2; about y = 6

  14. Calculus

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y= 2e^(−x), y= 2, x= 6; about y = 4. How exactly do you set up the integral? I know that I am supposed to use the washer method but I

  15. calculus review please help!

    1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the integral which gives

  16. calculus

    Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 1 + (y − 6)^2, x = 17

  17. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y = 3, x = 4−(y−1)^2; about the y-axis.

  18. mathematics

    Find the volume V of the solid obtained by rotating the region bounded by curves y=x and y= √𝒙 about the x-axis.

  19. calc

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y=cos(7x) , x=π/14, x=0 about the axis y=−8

  20. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, y = 0, x = 0, x = 3, about the y-axis

  21. calculus

    Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 6 x^6 , y = 6 x , x >= 0 Find the volume V of this solid.

  22. Calculus

    Consider the solid obtained by rotating the region bounded by the following curves about the line x=1. y=x,y=0,x=4,x=6 Find the volume So it would be pi (integral from 3 to 6) of ((1-y)^2 -(1-0)^2) right? so then you integrate it and get pi(Y^3/3-y^2) from

  23. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves: 2x = -y^2 y^2 = -x + 2 y = 0 for y >= 0 about the x-axis. Not sure how to do this one, could anybody help me identify what this looks like and how to identify the

  24. calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves y=x^6, y=1 about the line y=4

  25. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2,y=1; about y=7

  26. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0, y=x(3-x) about the axis x = 0

  27. Calculus [rotation of region bounded by curves]

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3x^2, x=1, y=0 about the x-axis

  28. Calc

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3x^2, x=1, y=0, about the x-axis

  29. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=2y^2 y=1 x=0 about the y-axis

  30. Calculus Help Please Urgent!!!

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x^2, y = 5x, x ≥ 0; about the x-axis V = ??? Sketch the region

  31. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=-3 y=x^2, x=y^2

  32. Calculus

    Find the volume V of the solid obtained by rotating the region bounded by curves y=x and y= √𝒙 about the x-axis

  33. calculus II

    Consider the solid obtained by rotating the region bounded by the given curves about the line y = 2. Y = 2+secx -pi/3

  34. calculus edit

    1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y is greater than or equal to 0 about the y-axis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis

  35. Cal 2

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^3,y=0,x=4,x=7. About the y-axis. Volume =

  36. calculus

    Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find the area of the region enclosed by the two curves; 2) Find the volume of the solid obtained by rotating the above region about the x-axis; 3) Find the volume of the solid obtained by

  37. calculus

    Consider the solid obtained by rotating the region bounded by the given curves about the line x = 4. x= 4y^2 , x = 4 Find the volume V of this solid.

  38. Calculus II

    Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y = ln x, y = 4, y = 5, x = 0 Find the volume V of this solid. Help!!! Thank you in advance :(

  39. calculus

    Consider the solid obtained by rotating the region bounded by the given curves about the line x = 6. y = sqrt(x), y = x Find the volume V of this solid.

  40. calculus

    Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y=6x^5, y=6x, x>or equal to 0 Find the volume V of this solid.

  41. Calc

    find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=x^2+1; y=9-x^2; about y=-1

  42. calculus 2

    Consider the solid obtained by rotating the region bounded by the given curves about the line x = -3. y = x^2 , x = y^2 Find the volume V of this solid. I keep finding the wrong answer.

  43. Cal 2

    Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=3/(1+x^2), y=0, x=0, and x=2 about the line x=4. Volume =

  44. Math Calc 1 Last question

    Find the volume of the solid obtained by rotating the region bounded by the curves y=4x-x^2, y=8x-2x^2 about the line x=-2. I got 256 pi/3 but pretty sure my work is wrong.

  45. Calculus

    1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=18x-6x^2 , y=0 : about the

  46. Calculus volume stuff

    Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

  47. Calculus I don't understand

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 10 x and y = 5 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded by y=8 x^2, x = 1, and y = 0 , about

  48. CALCULUS 2

    Consider the solid obtained by rotating the region bounded by the given curves about the line x = 1. y = x, y = 0, x = 4, x = 6 Find the volume V of this solid

  49. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^4, y=0, x=2, x=9; about y=–5

  50. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y=4,x=5−(y−1) 2 ;

  51. calculus one

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^4,y=1; about y=5

  52. Calculus ll - Volumes

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=e^(-x), y=1, x=2; about y=2.

  53. Calc2

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x2, y = 1; about y = 6

  54. Calculus

    find volume of solid obtained by rotating region bounded by curves y=x and y=sq.rt x, about line x=2

  55. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 1−y^4, x = 0; about x = 1.

  56. calculus 2

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 2, x = 6; about x = 1

  57. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 1−y^4, x = 0; about x = 1.

  58. Cal

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^2, y=0, x=4, x=5; about y=−2

  59. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line: y=x, y=x^(1/2); about x=2

  60. Calculus

    Consider the region bounded by the curves y=e^x, y=-e^x, and x=1. Use the method of cylindrical shells to find the volume of the solid obtained by rotating this region about the y-axis.

  61. calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves y=x^4,y=1 about the line y=4 . Answer:

  62. calculus 2

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x^4, y = 3x, x ≥ 0; about the x-axis

  63. calculus help

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1/2x, y = 0, x = 0, x = 1; about the x-axis V = ????

  64. Math

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = (64 − x^2)^(1/4), y = 0, x = 6, x = 7; about the x-axis

  65. calculus2

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = x − 1, y = 0, x = 8; about the x-axis.

  66. Calculus 2

    Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(X), y=0, x=0, x=pi/2 about the line y=-1 Volume=?

  67. Calculus I

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=7x^5 y=7x, x is greater than or equal to 0

  68. calculus 2

    Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3 sin x, y = 3 cos x, 0 ≤ x ≤ π/4; about y = −1

  69. calculus

    use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. sketch the region and a typical shell. x=1+y^2, x=0, y=1, y=2

  70. Calculus 2

    use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy=1, x=0, y=1, y=3

  71. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves about the line x=-3, y=x^2, x=y^2. I keep getting the wrong answer!! Please hellpp!! =(

  72. calculus

    find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. sketch the region and a typical disk or washer. y^2=x, x=2y; about the y-axis i am confused because i do not know how to set it up because

  73. math

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^2 y=0 x=4 x=7; about y=–3 i integrated and plugged in values for x and got .61 *pi this is not the right answer been trying for hours

  74. calculus 1

    can you please help me, i'm really confused Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. y= 20sqrt y, x=0, y=1

  75. math

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^2 y=0 x=4 x=7; about y=–3 i integrated and plugged in values for x and got .61 *pi this is not the right answer been trying for hours

  76. 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,

  77. 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,

  78. CALCULUS MAJOR HELP!!!!!!

    Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated

  79. math

    find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x=2=2sqrty, x=0, y=9 about the y axis. Is this the disk or shells method and how do I set this problem up?

  80. math

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=2y^2 , y=1 ,x=0 about the y-axis

  81. Calculus [Finding volume of solid]

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 y=0 x=3 about the y-axis

  82. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=4 x^2, x = 1, y = 0, about the x-axis

  83. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=4y^2, y=1, x=0 about the y-axis

  84. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2,x=y^2 about the axis x=–7

  85. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 x=y^2 about the axis x=–5

  86. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2 about the axis x=–1

  87. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=6x^2, x=1, y=0, about the x-axis

  88. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, y = 0, x = 0, x = 3, about the y-axis

  89. calculus - please help!

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x^4,y=2,x=4,x=9; about the x-axis.

  90. CALCULUS:)

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=3y^2, y=1, x=0 about the y-axis.

  91. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x= 1/√(x) , 1

  92. CALCULUS:)

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2 about the axis x=–3

  93. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 64x−8x^2, y = 0; about the y-axis.

  94. Calculus 2b

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2 x=y^2 about the axis x=–3 ? Having Trouble please help!!

  95. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x2x=y2 about the axis x=–3

  96. Math

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis? y=x^2 x=y^2 about the axis x=–2 here's what i did and it was incorrect V = 2pi [x+2][x^1/2 - x^2]dx from 0 to 1 V = 2 pi [2x^5/3 / 5 + 4x^3/2 / 3 -

  97. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, x=y^2, about the axis x=-5... i just cant seemt to get the numbers to work out well and get answer please help...thanks

  98. Calculus

    Find the volume of the solid obtained by rotating the region bounded by the curves: y = x^2 and x = y^2 about the line y = 1. I received the answer pi/30, using the outer radius of (1 - x^2) and the inner radius of (1 - x^(1/2)). Is this correct?

  99. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=9y^2 y=1 x=0 about the y-axis. I am able to find the volume of other questions, but this one got me stumped. I tried drawing out the graph,

  100. calculus

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x=9y^2 y=1 x=0 about the y-axis. I am able to find the volume of other questions, but this one got me stumped. I tried drawing out the graph,

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