The given curve is rotated about the y-axis. Find the surface area of the resulting surface. 22/3 + y?/3 = 1, 0 < y < 1.

Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: 3. Find the area of the surface generated by revolving about the y-axis the part of the curve y = x?…

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Q: Determine the exact area between the x-axis and the curve defined parametrically by 2 x(t) = - +² t²…

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Q: cos(3t), y = 6+ sin(3t) on 0 <t <

A: Please see the explanation below

Q: Find the surface area generated by rotating the given curve about the y-axis. x = e' - t, y = 4e/2,…

A: *to find:- surface area, when rotating about y axis.

Q: Which of the following is the surface area of the surface generated by revolving the curve y = in…

A: We have to find

Q: Which of the following is the surface area of the surface generated by revolving the curve y = in…

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Q: Given the curve x = a² - y² over the interval 0 ≤ y ≤ a/2, find the surface area of the solid formed…

A: Solution is given below:

Q: Find the exact area of the surface obtained by rotating the given curve about the y-axis. |x = 3t 0…

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Q: 3/2 b) y= (x* +2)* for 0sxsVE

A: y=13(x2+2)3/2

Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x =0 and x…

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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: cos(2t), y = 4+ sin(2t) 0 <t< on 2

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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 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.

Q: Q.1 Find the area of the surface generated by revolving the given curve about the y - axis x = /9 –…

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: 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 given curve about the y-axis. 8xy? = 2y® +…

A: Given the curve, 8xy2 = 2y6+1,  1≤y≤2 we have to find the area of the surface generated by revolving…

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: 1. Find the closest point of the surface ry + xz + yz = 1 to the origin. %3D

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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 of the ay+2²7 the revolving Curve x = 2 0≤y in 2 about the y-axis is The area, S, of the…

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Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

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

Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: x Inx - Find the area of surface obtained by rotating the curve y= 4 - for 1<x<4 about the x – axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y= (3x/3,…

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

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = -x2 -…

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Q: 32. Find the area of the surface generated by rotating the portion of the curve y-2 from x= 0 to x =…

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Q: Q#4 a. Find the area of the surface generated by revolving about the x - axis the portion of the…

A: Given that: x23+y23=1 To solve: x23+y23=1y23=1-x23y=1-x2332…

Q: Find the area of the surface obtained by rotating the curve y = Vx on the interval [0,1] around the…

A: The equation of the curve is y = x3 = x13 To evaluate: The area obtained by rotating the curve on…

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

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=x²-In(x),…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y =x² - In(x),…

A: The derivative of a function gives the rate of change of it with respect to some other variable.…

Q: Given the curve z = √a² - y² over the interval 0 ≤ y ≤a/2, f d the surface area of the solid formed…

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

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Q: for the Surface Area below .. what is * ?the radius of revolution Q3/ The arc of the curve x=Vy,…

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Q: Find the surface area generated by rotating the given curve about the y-axis. = et – t, y = 4e/2, 0…

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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 by revolving the given curve about the y-axis. 8ry? = 2y® +…

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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…

A: We need to determine the surface area that is resulted when the portion of the curve: x2+y2=4 from…

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

Q: Q#4 a. Find the area of the surface generated by revolving abuut the x – uxis the portion of the…

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

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

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