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

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 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 about the (a) x-axis and (b) y-axis.…

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

Q: The area of the surface obtained by rotating the curve y = 22 x + 1, 0 < x < 44 about the x-axis is

A: Consider the given curve. y=22x+1 in the interval 0≤x≤44 The problem requires to find the area of…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y= x3/6 + 1/2x ,…

A: Given that the curve is

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: 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: x = 3t – t, y = 3t2, 0<t< 1

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. =x²+²x≤x≤1 3x 2…

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Q: Find the area of the surface obtained by rotating the curve y : sin x from x = 0 to x = 1.4 about…

A: Given region bounded by y= sinx  from x=0 to x=1.4

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

A: Given:  y = (x3)/(6)+(1)/(2x),   1/2 ≤ x ≤ 1

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

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.  x=1+5y2,…

A: Recall: Area of the surface rotating about the x-axis: If the curve x=g(y) is given , c≤y≤d , and…

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

A: Given: y=1+ex , 0≤x≤1 The area of the curve is obtained by rotating the curve f(x) about x-axis…

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: 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 curve about the x-axis. y = x³, osx S 5

A: Given data:   The given equation is y=x3. The given limits of x are [a,b]=[0,5].   Differentiate the…

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

A:

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

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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: 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. y = V1+ ex,…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1/3(y2 +…

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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 exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1+ 2y2 ,1…

A: Find the exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1+ 2y2 ,1…

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: The area of the surface obtained by rotating the curve y = V4-x², -2 s xs 2 about the x-axis is

A:

Q: Find the exact area of the surface obtained by rotating the curve x = 1/3y3, 0 &lt;= y &lt;= 1,…

A: For rotation about y-axis, the surface area of the curve is given by

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

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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 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 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. v2 + 2)3/2, 4 s…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

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 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 obtained by rotating the curve y2 = 4x + 4 0<x<8 about the x-axis? %3D

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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 exact area of the surface obtained by rotating the curve abo = V7 - x, 1<x< 7

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. (y2 + 2)3/2, 2 <…

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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 <…

A:

Q: The area of the surface obtained by rotating the curve x = y2 - In(Vy), 1sys2 about the x-axis is

A: The given curve is: x=14y2-lny  ;      1≤y≤2 Therefore: dxdy=y2-12y

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. < =v² + 2)3/2, 3…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2, 1 s…

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