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

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 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: 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 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: 2) Find the exact area of the surface obtained by rotating the curve about the x-axis. y = /1 + 4x,…

A: We can use the application of integration in order to solve the given problem.

Q: 5. Find the area of the surface obtained by rotating the curve about the x-axis: x' + 6. 1 <x<1 1 2x

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2,…

A: To find the exact area of the surface obtained by rotating the curve about the x-axis. x=2+4y2    ,…

Q: The area of the surface obtained by rotating the curve x = 1sys7 about the x-axis is

A: Definition used -              Area of the surface obtained by rotating the curve x=g(y) about…

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

A: Given  y =x3 ,  0 ≤ x ≤2The area under a curve is the area between a curve f(x)and the x-axis on an…

Q: Find the area of the surface obtained by rotating the curve }=2,3 from z = 0 to z = 1 about the…

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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 exact area of the surface obtained by rotating the curve about the x-axis. 1 y = + /- 2x

A: Given: The equation of the curve y=x36+12x,where  12≤x≤1. Calculation: Compute the surface area as…

Q: 7. Find the area of the surfaces generated by revolving the curve r = 2e®² for 0<0s- about x- axis.

A: The solution are next step..

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: 2. Find the slope of the tangent in the positive x-direction and y-direction to the surface z = 2xy…

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Q: Find the slope of the tangent in the positive y-direction to the surface  z = 3x + 2y − 4exy at (4,…

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

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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: 3. Find the area of the surface generated by revolving the curve = 2/1- y (-1 < y < 0) X about the…

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Q: 5) Determine the area of the surface obtained by rotating the arc y = Vx –1 around the x- axis from…

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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: 2. Find the surface area when y = 2\x with 1 < x < 3 is rotated around 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 = x³, 0 < x< 5

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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: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis.…

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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: 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: 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: 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: y = N|XW --- - 6x 1 <x<1

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = /5x +…

A: To find the surface area generated when y=√(5x+3) is revolved around the x-axis on [0,5]

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: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

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Q: 6. Find the exact area of the surface obtained by rotating the curve, y = x³, 0 < x < 2, about the…

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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: 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 given curve about the -axis. x = 9y + 1,0…

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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 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: 7) Find the area of the surface that is formed by revolving the function y = 2 x on the interval %3D…

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Q: 2. Find the area of the surface obtained by revolving the curve g(x) = Vx +1 on the interval 0 < x <…

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

A: Surface area of curve by using integration

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: x = 1+ 2y2, 1< x < 2 about the x-axis.

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

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Q: 9. Find the area of the surface obtained by rotating the curve y = x',0sxs2 about the x-axis.

A: Given : y = x³, 0≤x≤2 about the x-axis

Q: (#2) Find the area of the surface generated by revolving the curve about x-axis for f(x) = 2Vx on…

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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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