Find the area of the surface generated by revolving the curve about each given axis. x St, y 2t, 0st 5 (a) x-axis (Б) у-аxis

Q: Find the area of the surface generated by generated by revolving the curve about the r-axis. と4u:4+…

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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: Find the exact area of the surface obtained by rotating the curve about the x-axis. x3 y = 2 1 6x' 2

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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. x -(y2 + 2)3/2,…

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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 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 exact area of the surface obtained by rotating the curve about the x-axis. y=x3,…

A: If the curve y = f(x), a ≤ x ≤ b is revolved about the x-axis, then the area of the resulting…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x3/9, 0…

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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 = V6 - x, 4 <…

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Q: Find the area of the surface obtained by revolving the curve given by y = V/9- x2, where –2 < x < 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 area of the surface generated by revolving the curve about each given axis. x = 8t,    y =…

A: Given, x=8t, y=7t, 0≤t≤5

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 that is generated by revolving the portion of the curve y= X between x=…

A: We can solve as follows

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

A: The given equation of the curve is y=x48+14x2, 1≤x≤2 The area of this curve by rotating the about…

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

A: Consider the given function and interval. y=3+5x2, 3≤x≤8 If y=f(x) is function and the interval of y…

Q: Find the area of the surface generated by revolving the curve y = Væ +1, 1< x< 5about the x-axis. I…

A: surface area of the curve f(x) revolved about x-axis  A = 2π∫abfx1+f'x2dx

Q: Find the area of the surface generated by revolving the curve about each given axis. x= 5t, y- 9t,…

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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: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = V, 0,5 s…

A: First I have written the formula of are of surface of revolution about y axis on an interval, just…

Q: Find the area of the surface generated by revolving the curve                             x = 4t, y…

A: If x = f(t), y = g(t) then surface area is 1) About x axis: A=2π∫abydxdt2+dydt2dt 2) About y axis:…

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 curve about the x-axis. y = x3,    0 ≤…

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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. 1 + 2x' 1 y = 1-…

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Q: y = V8 - x, 2 <x S 8

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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 area of the surface generated by revolving the curve about the indicated axis. 8) y = 3x -…

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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 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 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: V9, 0< y< 4 Find the area of the surface generated by revolving the curve x = about the у-ахis.

A: We have to find the surface area.

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 generated by revolving the given curve about the x-axis. y = V9 -x,…

A: 3

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

A: We need to find the surface integral.

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 4t, y = 8t,…

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Q: (a) Find the area of the surface generated by the given curve about x-axis y = Vx , 18 x< 4

A: Note: According to Bartleby guidelines; for more than one question asked only the first one is to be…

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=1/33/2, 0 ≤ y≤12  about the y - axis.

A: To find the 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. 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 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 generated by revolving the curve about each given axis. X = 9t, y = 9t,…

A: Solution

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

A: Given surface is x=13y2+232, 1≤y≤4, We know, If SA is the surface area of the curve by revolving…

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 area of the surface generated by revolving the given curve about the y-axis. x = 8y + 3, 0…

A: Note: If x=fy≥0 and continuously differentiable on a,bThe area of the surface generated by revolving…