Find the area of the surface generated by revolving the curve about the indicated axis. 36) y=V4x - x2, 0.5 sx s 1.5; x-axis

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V4 – x, –1…

A: y=4-x2,  -1≤x≤1 Differentiating with respect to x, we get dydx=124-x20-2x=-x4-x2

Q: Find the area of the surface generated by revolving x= 4/9 - y,0sys about the y-axis. 16 x=49-v 12

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Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

Q: Find the area of the surface obtained by revolving the curve x=/y+1, for 1<y<, around 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 = V16 – x²,…

A: The given curve is y=16-x2,   -1≤x≤1. This implies that, dydx=ddx16-x2dydx=1216-x2…

Q: 2. Find the surface area generated by revolving the circle x = cost, y = 1 + sint, 0sts2n over x -…

A: Use formula of area 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: 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. =글02+ 2)32, 4…

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Q: s. y-- In x 1<X < 4 5. у 2 4

A: Formula for calculating surface area(S): S=∫ab2πyds                              where, ds=1+dydx2…

Q: 6. Find the surface area generated by rotating the first quadrant portion of the curve y = 9 – x2…

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Q: Q/ Find the Surface area generated by revolving y = 1 – x² around the y- ? 0 <x <1 axis, where

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Find the Exact Area of the surface obtained Retating by the curve asout the X-axis 9x=18+g2 25Y56

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 2V1- 5y,…

A: Given curve is,         g(y) =x=21-5y,  -1≤y≤0   We have to find area when the curve g(y) is…

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: 4. By revolving the semicircle x = cost, y = sint (0 <t< ) about the x-axis, show that the surface…

A: Equation of semicircle with radius r is x=rcost, y=rsint We know the formula for surface area for…

Q: 2. The surface area of the surface generated by revolving the curve y = x, -1 < x<1, about the…

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Q: 2. Find the area of surface that is generated by revolving the portion of the curve x = V16 – y , 0…

A: Given, x= √(16-y) Therefore, f(y)= √(16-y) Differentiating the above equation with respect to y we…

Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 4y +3, 0≤…

A: Let us consider a curve g(y) on the interval [c,d]. The surface area of the surface of revolution…

Q: Find the area of the surface generated by revolving the given curve about the x- axis: y = 19 – x²,…

A: Given,y=9-x2   squaring both the sides,y2=9-x2x2+y2=9x2+y2=32this is the equation of the circle with…

Q: Find the area of the surface generated by revolving the curves about the indicate x= t +2/3, y…

A: The given implicit equations area;  x=t+23, y=t22+23t,     -23≤t≤23

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: 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 surface area of revolution about the y-axis of x 36 – y? over the interval 0 < y < 2 -

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

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Q: 5. Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 – x} about the x-axis.

A: Surface area

Q: y = } + sxs1 <x<1 2

A:

Q: 3. Find the length of the curve y = x – In x, 1<x < 4. 1. Find the area of the surface obtained by…

A: The solution is given as follows

Q: Find the area of the surface obtained by rotating the curve y = x about y-axis for 1< y< 3.

A: We have to find surface area

Q: 38.Calculate the surface area of the surface obtained by revolving the curve y = √9-x² around the…

A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

Q: 8.) Find the area of the surface by revolving the curve about each given axis. 1 x =t3, y = t + 1,…

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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 x = 6t and y = 4ť (0 < t < 1) X

A: answer is in next step

Q: Find the surface area of the cone frustum generated by revolving the line segment y = 4 1 over 1 < x…

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

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

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 obtained by rotating the curve y 5æ? about the y axis for 3 < x < 8 -…

A: Given: y=5x2

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

A:

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

A: We are given a curve y=f(x) and limits with respect to the variable x, and we are supposed to…

Q: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 4t, y = 7t,…

A: x=4t y=7t

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: Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y…

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Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

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Q: 2. Determine the area of the surface generated by revolving a given curve about a given axis. a.…

A: Formula to find the surface area by revolution helps to find the required surface area. Formula to…

Q: Find the surface area of revolution about the y-axis of y = 12 – 3x? over the interval 0 < x < 2.

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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 y = about y-axis for 1 ≤ y ≤ 3. Area:

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Q: Find the area of the surface obtained by rotating the following curve about the x-axis. y=2x3 , 0…

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