nd the exact area of the surface obtained by rotating the given curve about the y-axis. x = 3t2, y = 2t³, 0

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A: Solution is given below:

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A:

Q: Find the surface area generated by revolving the curve C : x(t) = 3t, (0 < t < 1) y(t) = 2t about…

A: Use the formula for the surface Area when a parametric curve rotated about y-axis.

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Q: c) Find the surface area generated by rotating the curve y = (x²+2)³/2, 0≤x≤3 about the y-axis.

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

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Q: Find the surface area of the solid obtained by rotating the curve 0 <y<1 about the y-axis. 3 a) c)-…

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Q: Which of the following curves would generate equal surface area when revolved around x and y axes? y…

A: We have to check which curves would generate equal surface area revolved around x and y axis.

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A: It is application of integral by using formula we can solve it. Detailed solution given below

Q: y? - In(Vy), 1sys 5 about the x-axis is The area of the surface obtained by rotating the curve x =

A: Solve the following

Q: Q4:B/ Find the area of the surface generated by rotating the curve y = e", 0 < x<1, about the…

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Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +…

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Q: Find the surface arca of y = (1/3)r 10<x <1 revolved about the z-ax

A: Given: The equation is y = 13x3 , 0 ≤x≤1 revolved about the x - axis.

Q: x (t) = 3t – t3 y (t) = 3t2 %3D 0 st< 3

A: It is given that xt=3t-t3, yt=3t2 and 0≤t≤3. The  surface is rotated about the x-axis, thus the…

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

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Q: Find the area of the surface generated by revolving the given curve about the indicated axis. 1. x =…

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3,…

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Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: Given b x=y3, 0≤y≤2c x=9-y2, -2≤y≤2

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Q: Consider the curve y = 3 sin(2x), where 0 < x < n/2. Find the surface area when this curve is…

A: We have given the function; We know the formula for surface area by revolution;

Q: Find the area of the surface generated by revolving the curve x = 6t , y = 4t2 for t = 0 to t = 1…

A: Differentiate the equations x=6t and y=4t2 with respect to t, to find dxdt and dydt.…

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A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

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

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of x2 y? = 1+…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Determine which of the following gives the area of the surface obtained by revolving the curve y =…

A: This question is related to surface area. We will solve this question by using formula of surface…

Q: Find the area of the surface generated when the curve y=1/4(e2x + e−2x)is rotated about the x-axis…

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Q: 33. Find the surface area of the portion of the curve x²+y²4 from x₁=0 to x-2 when it is revolved…

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Q: 3. Find the area of the surface generated by revolving the curve about the given axis: x = g(y) =…

A: ds= sqrt(1+(dx/dy)^2)

Q: 73. х %3D а сos'0, у%3Dasin'0, 0<0< п/2 0 < 0 < T/2

A: Given information: x=acos3θy=asin3θ0≤θ≤π2

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Q: Consider the curve y = 3 sin(2x), where 0 < x < T/2. Find the surface area when this curve is…

A: To find the surface area when the curve the is rotated about the x-axis.

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A: Given; y=x^2 between x=1 to x=2