Find the area of the surface generated by revolving the curve x = .0sys1, about the y-axis. The area of the surface generated by revolving the curve x=.0sys1, about the y-axis is square units.

Q: Find the surface area of the object obtained by rotating y = 1 +. 8x2 , 2<x 3 about the x-axis. 4

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Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

Q: Find the area of the surface generated by revolving the curve y = 2Va, 0 <x < 3, about the x-axis.

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Q: B- Find the area of the surface generated by revolving the curve y = √√2-x² about x-axis

A: Introduction:   An object's surface area is the total area that all of its surfaces occupy. The…

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

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Q: Find the area of the surface obtained by rotating the given curve about the indicated line, y=x,…

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Q: Find the surface area of the solid that is obtained by rotating the graph of y = f (x) about the…

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Q: Find the surface area generated by rotating the parabola arc y = x² about the x-axis from x = 0 to x…

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Q: Find the surface area of the portion of the sphere generated by revolving the curve y = 1- x², 0sis…

A: y=1-x2,  0≤x≤12 Differentiating with respect to x, we get dydx=121-x2·0-2x=-x1-x2

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x3/9, 0…

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Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Determine the surface area generated by revolving the line segments about y-axis. 3m 4m 2m 1m 2m 2m…

A: Given , Line segment revolve around y-axis , we have to find surface area of formed shape .

Q: Find the area of the surface generated by revolving the curve y = Væ +1, 1< x< 5about the x-axis. I…

A: surface area of the curve f(x) revolved about x-axis  A = 2π∫abfx1+f'x2dx

Q: Find the surface area of the frustum y=(8x)^1/3​, for 0≤x≤8​; about the​ y-axis.

A: Given that, y=8x130≤x≤8

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(7-x),…

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Q: Find the surface area of the object obtained by rotating y = +÷, 1 1<x<2 about the x-axis.

A: To find the surface area of the object obtained by rotating y=x36+12x ,  1≤x≤2 about x-axis.  Let,…

Q: Find the surface area of the solid that is obtained by rotating the graph of y = f(x) about the…

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Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The…

A: We have to find the area of surface.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤…

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Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis.

A: To find the surface area of obtained by rotating the curve about x axis.   If the curve y=f(x),…

Q: Find the area of the surface obtained by rotating the curve about the y-axis. x=y', 0sys3

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Q: Which one, y=ex, 1≤y≤2, gives the surface area of the solid formed by rotating the curve segment…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1+ ex,…

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Q: Find the area of the surface generated by revolving the curve y=−x^3/18​, −2√2≤x≤0​, about the​…

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Q: 2. Find the area of the surface generated by revolving the curve r = Vcos 20, 0s0 ST/4. about the y…

A: Surface area generated by revolving the curve 'r' about y-axis = 2π∫αβxr2+(drdθ)2 dθ

Q: (d) Find the area of the surface generated by revolving the curve y = 2a, 0 < x < 3, about the…

A: Part (D) To find the area of the surface generated by revolving the curve, y=2x,0≤x≤3, about the…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V7 - x,…

A: To find The exact area of the surface obtained by rotating the curve about X-axis

Q: Find the surface area of the solid gained by revolving the curve 0 < x < 14, about the x – axis. 14'

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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: How many square units is the area of the surface obtained by rotating the curve y = V4-z, 0 <I<2…

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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: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

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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 the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

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Q: Compute the surface area of the surface generated by revolving one arch of the cycloid…

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

A: Given curve is  y=x36+12x Differentiate with respect to x. dydx=x22-12x2

Q: (a) Find the area of the surface that is generated by revolving the portion of the curve y = x'…

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Q: Find the area of the surface obtained by rotating the curve y = V6x from x = 0 to x = 2 about the…

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Q: Find the surface area of the object obtained by rotating x = Vy-6 2sys3 about the y-axis.

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Q: find the surface area obtained by rotating the circle (x – 4)2 + y? =1 about the y-axis. %3D

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Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the…

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Q: EX- Find the area of the surface generated by rotating the 1 portion of the curve y= (x²+2)³ between…

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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

Q: Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis.…

A: The curve isy=4x3 So, its derivative will be: dydx=12x2 As,  Sx=∫2πy dswhere ds=1+dydx2dx so,…

Q: Find the area of the surface obtained by rotating the following curve about the x-axis. y=2x3 , 0…

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Q: The area of the surface generated by revolving the curve y = y9 - x2,-2 < x < 2 about the x-axis is…

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

A: Given; y=x^2 between x=1 to x=2

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

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Q: Find the area of the surface obtained by rotating the curve y² = 4x + 4 0<x<8 about the x-axis?

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