Find the Surface avea Gevereatel by vevoluing the curve y-2r coso about te x-axis X-Sine

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sin(pix/4),…

A: The area of the surface of the curve y=f(x),  a≤x≤b obtained by rotating the curve about the x-axis…

Q: 3. Find the area of the surface generated from revolving the curve y = x ++4 from x = 1 to x = 2…

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Q: Find the area of the surface generated by revolving the curve x= cos (3t), y = 5+ sin (3t) on 0sts,…

A: Suppose parametric curve rt=xt,yt for a≤t≤b are revolving about the x-axis then surface area…

Q: Find the area of the surface generated by revolving the curve y = /2x – x2, from x = 0.25 to x =1.7

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Q: The area of the surface obtained by rotating the curve y = 1sxse about the line x = 42 is

A: Given that y= 1/x  + x3 /12 and find the surface area. Here i attached solution of this question.

Q: Find the area of the surface obtained by rotating the curve x = 6 cos 0, y = 6 sin³ 0, 0< 0 <n/2 %3D…

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Q: Find the area of the surface of revolution generated by revolving the curve y = 5/ 0Sa<4, about the…

A: Given that:  y=5x,                        0≤x≤4

Q: Find the exact value of the surface area generated by revolving the given curve, about the x-axis. 1…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

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Q: The area of the surface obtained by rotating the curve y = x2, 0sxs1 about the y-axis is

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Q: (b) Use Simpson's Rule with n = 10 to estimate the area of the surface obtained by rotating the sine…

A: Let's solve area of surface.

Q: Find the arc length of y3 + y = x2 + 6x on the interval [ -5, -1 ]. Also, determine the surface of…

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Q: 3. Find the area of the surface generated from revolving the curve y =x ++4 from x = 1 to x = 2…

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Q: Find the surface area generated when the arc given by y = 2/15 – x; 0 <x < 15, is revolved about the…

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Q: Find the area of the surface obtained by rotating the curve y = cos(2x), 0≤ x ≤ π/6, about the…

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Q: The area of the surface obtained by rotating the curve y = V9-x2, -1sxs1 about the x-axis is mit…

A: Use formula of surface area about x axis

Q: 2. The surface area of the surface generated by revolving the curve y = x, -1 < x<1, about the…

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Q: Find the surface area of revolution generated by revolving the curve y= (3x)5 over about the y…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x= 5t, y- 9t,…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.y=8x-4…

A: Here we find the area of surface generated when the given curve is revolved about the y-axis. The…

Q: 6- Find the avea of the Surface of revolution genetaled by revalving the x-axis the arc abaut from…

A: To find - Find the area of the surface of revolution generated by revolving about the x-axis the arc…

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x² between…

A: Solution: Consider the given curve y = x2 The curve revolving between x = 1 and x = 2 about the…

Q: 1.a)Find the area of the surface generated by revolving the curve y=√(121-x^2), −1 ≤ x ≤ 1 about the…

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Q: Find the area of the surface generated by revolving the curve y = √(x2 + 2), 0 ≤x ≤ √2, about the…

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Q: Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis.…

A: Below is the solution:-

Q: Obtain the center of gravity of the skin of the rotating object that occurs if the arc y = √9 - x2;…

A: As per the question we are given the arc : y = √(9-x2)  for  0≤x≤3 And the surface obtained by…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = + 2 бх

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Q: The area of the surface obtained by rotating the curve y = v64-x2, -2 <x < 2 about the x-axis is

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Q: Find the curved surface area of the solid generated by revolving the part of the curve y=x² from…

A: Given curve is                                               y=x2 from     (0, 0) to (6, 6) Rotation…

Q: Find the Sufface arca 0f the soid of revolution Obtained bu rotatig y=+2x With TtxE2 around メーaxis、…

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Q: Find the area of the surface generated by revolving the curve y=x3/3 from x=0 to x=1 about the…

A: To find the area of surface generated by y=x33 and x=0,x=1 about x-axis A=∫012π·y·dS, dS=1+y'2·dx,…

Q: 4. Find the area of the surface generated by revolving the curve y = v9 – x², - 2 < x < 2, about the…

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Q: Find the area of the surface generated when the curve y = V5x - x2 for 1 <r<4 volved about the…

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Q: Determine the surface of revolution if the arc y^3 + y = x^2 + 6x on the interval [−5, −1] is…

A: The curve will appear like this

Q: Find the area of the surface generated by revolving the curve y = - V6 sxs0, about the x-axis. 24'

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Q: Find the area of the surface generated by revolving the curve y = /8x – x² on the interval sa <…

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Q: Find the area of the surface formed by revolving the graph of y = Vx + 2 on the interval [1,8] about…

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Q: ..... The area of the surface generated by revolving the curve x = 1 cos (2t), y = 7+ -sin (2t) on…

A: Follow 2nd and 3rd step.

Q: Find the area of the surface generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

A: area = ∫06 ydx area = ∫06  x3dx/24 area = [x4/96]60 area = 6*6/96 - 0 area = 3/8

Q: Find an equation of the plane tangent to the following surface at the given point. 1 sin (xyz) =

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Q: Provide a parameterization for the surface formed by revolving the curve y=VX around the X-axis, for…

A: To Determine :-  Provide a parameterization for the surface formed by revolving the curve y = x…

Q: 6. Find the area of the surface formed by revolving about the curve defined by y = x2 - x2, 1<x<3…

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Q: Find the area of the surface generated by revolving the curve y = 2√x, 1≤x≤2, about the x-axis.

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Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 9

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Q: 13. Find the area of the surface generated when the curve = , on [2,4] is rotated about the y-axis.

A: The solution are next step is

Q: The area of the surface obtained by rotating the curve y = V9-x2, -3 < x < 3 about the x-axis is

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 3 7 y…

A: We write x in terms of y first

Q: The area of the surface obtained by rotating the curve y = 36-x2, -6<xS6 about the x-axis is

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Q: Find the area of the surface generated by revolving the curve 1 V1+e*, 5x 0 < x < 2 around the…

A: We can find the area of the the surface as follows