Find the area of the surface generated by revolving the curve

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

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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: 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 arc-length of the segment of the curve parametric

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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: B- Find the area of the surface generated by revolving the curve y = √√2-x² about x-axis

A: Introduction:   An object's surface area is the total area that all of its surfaces occupy. The…

Q: Find the exact area of the surface generated by revolving the curve over the given interval about…

A: Given data: The given expression for the curve is y=(2x-x2)1/2. The given limits of x are [a,…

Q: Find the surface area of the portion of the sphere generated by revolving the curve y = 1- x², 0sis…

A: y=1-x2,  0≤x≤12 Differentiating with respect to x, we get dydx=121-x2·0-2x=-x1-x2

Q: Find the area of the surface generated by revolving the curve about the y-axis. y=4-x², 0≤x≤2.

A: In this question we have to find the area of the surface generated by revolving the curve about the…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.   y = 5− x, 3 ≤…

A: To find the exact area of the surface obtained by rotating the curve about the x-axis.  y = 5− x, 3…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V8 - x, 25…

A: given, y=8-x  ,2≤x≤8  the graph is

Q: Find the Area of the Surface obtained by rotating the curve about the y -axis y = √√x, 1 ≤ y ≤2

A: Given y=x13    1≤y≤2Rotating about y-axisarea of surface of revolution about tghe y…

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 given curve about the y-axis.

A: Given that      x(t)=3t-t3y(t)=3t2 Since, we are rotating about y-axis, the formula is:…

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 = √5 -x, 3 ≤ x…

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a &amp; x=b…

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: Determine the area of the surface generated by rotating around the "y" axis, the curve described by:

A: Here, the given parametric curve is: x=t33, y=t+1; 1≤t≤2⇒x'(t)=t2, y'(1)=1 Now, the surface area…

Q: Find the area of the surface of revolution generated by revolving the curve r = 2acos(theta) about…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(7-x),…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x St, y 2t, 0st…

A: Given that        x = 5t , y = 2t  , 0 &lt;= t &lt;= 5  Here we have to find the area of the surface…

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 3t, y = 5t,…

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

A: To find the surface area of obtained by rotating the curve about x axis.   If the curve y=f(x),…

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 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 = + 2 бх

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Q: Find the area of the surface obtained by rotating the curve y = x², 0 < x< 1, about the y axis.

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Q: Find the area of the surface generated by revolving the given curve about the x-axis. y=10x, 0≤x≤3

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = St, y= 9t,…

A: We have to find the surface area.

Q: Find the area of the surface generated by revolving the curve - 5x y = e x > 0

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 3t,    y =…

A: Area of the surface generated by revolving the curve x = f(t) about the x-axis is S = ʃ2πyds.Area of…

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

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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 generated by revolving the curve about each given axis. x = 8t, y - 6t…

A: Given that, x = 8t y = 6t + 1 0≤t≤1 We have to find the area of surface generated by revolving the…

Q: Find the area of the surface generated by revolving the curve Y = 8/x, 2 < x < 7 around the -axis.

A: The given surface is generated by y=8x,  2≤x≤7 around the x axis. The area of the surface generated…

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

A: Given curve is  y=x36+12x Differentiate with respect to x. dydx=x22-12x2

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: 9. y = x', 0< x< 2

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Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 9

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

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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 by revolving the curve about each given axis. x = 2t, y = 3t,…

A: TO FIND THE AREA GENERATED BY THE REVOLVING BELOW SURFACES x =2t y =3t ,   0≤t≤9 FORMULAS USED (a)…

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 9t, y = 9t,…

A: Solution

Q: Find the exact area of the surface generated by revolving the curve about the stated axis. y = Vx…

A: The formula for area of surface generated by the revolution of curve y=f(x) , a≤x≤b about x-axis.…

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

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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.