Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis. The area is               square units.

Q: find the exact area of the surface by rotating the curve about the x-axis  Y=x^3  0<x<2

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

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 2 6. 1 + 2x…

A: The surface is obtained by rotating the curve about x-axis.y=x36+12x, 12≤x≤1

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis y = v5 – x, 3 <x…

A: Given:- y=√(5-x) , [3, 5] To find:- Area of surface rotating about x axis

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V5 - x, 3 <…

A: Definition used -                             Area of the surface obtained by rotating the curve…

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

A: We need to find Surface area.

Q: Find the area of the surface obtained by rotating the curve y=1+4x2 from x=0 to x=6 about the y-axis

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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: The area of the surface obtained by rotating the curve y = x2, 0 <x< 12 about the y-axis is

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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 area of the surface generated when the given curve is revolved about the given axis. y = 3x…

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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: 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: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x, 4 <…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =(5-x)^1/2…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x,…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7

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

A: Let's find.

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

A: Given: y=sqrt(1+ex), 0&lt;=x&lt;=5.

Q: The area of the surface obtained by rotating the curve y = V25–x2, -4 < x s 4 about the x-axis is

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

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

A: The expression for the area of the surface revolution of y=fx about the x-axis on the interval a≤x≤b…

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: 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 exact area of the surface obtained by rotating the curve about the x-axis. x3 1 + 2x sxs1 2…

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Q: Find the area of the surface obtained by rotating the curve y=√3x from x=0 to x=7 about the x-axis.

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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 exact area of the surface obtained by rotating the curve about the x-axis. y = 1 1sxs1 2x'…

A: The given curve is  y=x36+12x

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

A: Given curve is y=1+ex and we have dydx=ex21+ex Since the Area of the surface obtained by rotating…

Q: Find the area of the surface generated by rotating the portion of the curve y = (x^3)/3 from x = 0…

A: Consider the given curve y=x33 , x=0 to x=1 First, find the first derivative of the curve with…

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 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 obtained by rotating the curve y =÷x/2 – x³/2 for 0 < x < around the…

A: We find dy/dx using power rule

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + 5x, 1<…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + 5x,…

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

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + e*, 0 <…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x, 0< x< 5

A: Surface area of given curve after rotation about x axis.

Q: Find the surface area of the portion of the curve x2 = 4y from y = 1 to y =2 when it is revolved…

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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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