Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis. Enter your answer in terms of ππ or round to 4 decimal places.

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

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Q: Find the area of the surface obtained by rotating the curve y=1+4x^2 from x=0 to x=7 about the…

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Q: y = 4x3 from x = 0 to x = 6 about the x-axis. The area is

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

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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: The area of the surface obtained by rotating the curve y = 21 x + 1, 0sx< 42 about the x-axis is

A: Given:- y = 21x+1 To find:- Are of rotation about x axis [0, 42]

Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

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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 exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + ex, 0<…

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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: 3) Find the area of the surface obtained by rotating the given curve about the indicated line, y=x2,…

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

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Q: Find the area of the surface obtained by rotating the curve V5=x' 3 Sx 55 about the x-axis a

A: Here function is, y = (5-x)^(1/2) Since function is positive for the given interval and has a…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt 1+3x ,…

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Q: Q2 Find the area of surface generated by revolving the curve y=√x+1,1< x≤ 5 about x-axis

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the area of the surface obtained by revolving the graph of y = √x(4x − 3)/6, 1 ≤ x ≤ 9 about…

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Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

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Q: Find the area of the surface generated when the given curve is revolved about the given…

A: We know that,

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: The area of the surface obtained by rotating the curve y = 25-x² , -4 sx<4 about the x-axis is

A: Area of the surface rotated about x -axis is, a≤x≤b,…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x, 0s x< 3

A: The objective is to find the surface area.

Q: Determine the surface area of revolution when the curve y = 7.2/x from x = 1 to x = 5 is rotated by…

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

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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 of the portion of the curve x²+y²=4 from x=0 to x=2 when it is revolved about…

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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: The area of the surface obtained by rotating the curve y = 17 x +1, 0SXS 34 about the x-axis is

A: The solution are next step...

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 given curve is revolved about the given axis. 1 y3…

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Q: 5. Find the exact area of the surface obtained by rotating the curve y = V16 x2, -2<*<2 about the…

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Q: Find the area of the surface obtained by rotating the curve y = 2x 223 from x = 0 to x 2 about the…

A: HERE THE LIMITS OF INTEGRATION IS 0 to 2.

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 exact area of the surface obtained by rotating the curve about the x-axis. y= square root…

A: The given curve is

Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

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 =,0sx<2, about the x-axis.

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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 exact area of the surface obtained by rotatingthe curve about the x-axis. y =√(1+ 4x)  ,  1…

A: Find the exact area of the surface obtained by rotatingthe curve about the x-axis.

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y…

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Q: Find the exact area of the surface generated by revolving the curve about the incated axis over the…

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

A: Consider the provided question, We have to find the surface area obtained by rotating the given…

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 obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the…

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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 generated when the given curve is revolved about the given axis. 5 ,…

A: We have surface area formula about x axis S =∫ab [2πy√(1+ (dy/dx)2)]dx  Given y = x3/5…

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: 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 y = 3/x, 1 < x <4 about the x axis.

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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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