Find the area of the surface generated by revolving the curve x = 6t , y = 4t2 for t = 0 to t = 1 about the y-axis.

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 obtained by revolving the curve x=/y+1, for 1<y<, around the y-axis.

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Q: Find the area of the surface generated by revolving the curve about the (a) x-axis and (b) y-axis.…

A: Explanation and solution is given below....

Q: Calculate the area of the surface generated when the curve, y = Vx is revolved on the interval [1<…

A: y=x3then x=y3 area of the surface=∫12xddy=∫12y3dy=y4412

Q: Find the area of the surface obtained by rotating the curve about the x-axis y=Vx, 0sxs4

A: Please refer to the image below.

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 area of the surface generated by revolving the curve y = Vx + 3, 4 < y <7 around the…

A: We have to find area of the surface . Given y=x3+3                                 4≤y≤7

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: 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: y = V4-x, -l&xs1 about the x-axis

A: We'll answer the first question since the exact one was specified. Please submit a new question…

Q: Find the area of the surface generated by revolving the curve x = Vy, 0<y <4, about the y-axis.

A: We will use standard method.

Q: Find the surface area of the curve: y In x; 1sx S 2 when the curve is rotated about the y-axis.

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Q: Compute the surface area of the surface obtained by revolving the given curve about the given axis.…

A: Given the parametric curve x=t2-1y=t3-3t,-1≤t≤1 about the yAxis. We will write it as a function of…

Q: Find the area of the surface generated by revolving the C = ((x, y): x = 3 (t – sin t), y = 3 (1-…

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Q: Find the area of the surface obtained by revolving the curve given by y = V/9- x2, where –2 < x < 2,…

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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: 2. Find the area of surface that is generated by revolving the portion of the curve x = V16 – y , 0…

A: Given, x= √(16-y) Therefore, f(y)= √(16-y) Differentiating the above equation with respect to y we…

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 area of the surface generated by revolving the curve y = cos(r), 0<aS5 about the r- axis.

A: The solution is given below in the next step:

Q: Find the area of the surface generated by revolving the curve y = cos(x), 0 < x<: about the r- axis.

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Q: Find the area of the surface generated by revolving y = Vx +1 from r = 1 to x = 5

A: The objective is to find the area of the surface generated by revolving y=x+1 from x=1 to x=5.

Q: Determine the surface area generated by revolving the arc 3y= 4x from x=0 to x=3 about the x-axis.

A: To find- Determine the surface area generated by revolving the arc 3y = 4x from x=0 to x=3 about the…

Q: Find the area of the surface generated by revolving the curve x =- =t/2,y = 2Vt; 0<t< v3 about the…

A: We solve the problem by using formula of area of surface generated by revolving curves about y axis.…

Q: Find the area of the surface obtained by rotating the curve y 4V7,0 < I < 5, along the r-axis.

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

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Q: Find the area of the surface obtained by rotating the curve y = 1+3x² from x = 0 to x = 6 about the…

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Q: The area of the surface obtained by rotating the curve y = V16 – x² -1 <x< 1, about the x- axis is

A: The given function is y=16-x2 , -1≤x≤1 rotating the curve about x-axis.

Q: Find the area of the surface generated by revolving the given curve about the indicated axis. 1. x =…

A: Consider two parametric equations and with . Then the area of the surface obtained by rotating…

Q: Find the area of the surface generated by revolving the curve - 5x y = e-b", x > 0 around the -axis.

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Q: Find the surface area generated when the given curve x = 9 + 2t2, y = 4t, 0 ≤ t ≤ 2 is rotated about…

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Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: Find the area of the surface generated by revolving the following curve alongthe x-axis: x = 2t3,y =…

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Q: Find the area of the surface generated by revolving about x-axis the part of the curve y = sin x,…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x³ between…

A: Given y=x3 , x=0 , x=1The surface area of revolution of the curve y=fx is given by s=2 ∫ab…

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 obtained by rotating the curve y=1+3x² from x = 0 to x = 9 about the…

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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 generated by revolving the curve about each given axis. x = 4t, y = 7t,…

A: x=4t y=7t

Q: . Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0…

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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 that is generated by revolving the portion of y=x2 between x=1 and x=2…

A: To the area of the surface that is generated by revolving the portion of y=x2 between x=1 and x=2…

Q: Find the exact area of the surface generated by revolving the curve y = sinx, over the interval (0 <…

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Q: Find the area of the surface resulting from rotating the curve: x=5t−1, y=2t^3, -2≤t≤1, around the…

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Q: Find the area of the surface of revolution obtained by rotating the function y=sin(x) on the…

A: Here is the given curve and the interval it is bounded by: y=sin(x) interval {0,pi} about the x…

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 given curve about the x-axis. y = v1+ ex, 0 <…

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

A: Given: The curve is x=y32, 0≤y≤2 about the y-axis The formula for find the area of the surface is…