Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x , (z = 0) O x = 2y + 2z? O y = 2x² + 2z? x* = y² – 222 O y = 2x² + z² O x = 2y² – 2z²

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A: Given curve is x=y33 , 0≤y≤1 about y-axis find the surface area

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

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Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x2 , (z =…

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A: Explanation and solution is given below....

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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 <x…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y= x3/6 + 1/2x ,…

A: Given that the curve is

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 equation of the surface of revolution generated by revolving the curve z²=4y in the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. =x²+²x≤x≤1 3x 2…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2,…

A: To find the exact area of the surface obtained by rotating the curve about the x-axis. x=2+4y2    ,…

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A: Given partial differential equation is z=p2−q2 We have to find he characteristics of the equation…

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

A: Given:  y = (x3)/(6)+(1)/(2x),   1/2 ≤ x ≤ 1

Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: Find the exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1/3 ( y2…

A: Given curve is x=13y2+232 over 1 ≤ y ≤ 2. The exact area of the surface obtained by rotating the…

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

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A: Given: x=9+t2, y=2t, 0≤t≤2

Q: Find

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. + 2)3/2, 3 sy s…

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Q: given the surface revolution x^2+z^2-5y=0 find the equation of its generating curve in the yz-plane…

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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 exact area of the surface obtained by rotatingthe curve about the x-axis. 9x =y2 + 18 ,  2…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = 2/1-, zE…

A: Use formula of surface area revolved about x axis

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis 극v2 + 2)3/2, 4…

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Q: Let 13 be the surface with the equation given by 4x²-9y²= 9(z²+4)

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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 exact area of the surface obtained by rotating the curve about the x-axis. x = 1/3(y2 +…

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Q: Let 13 be the surface with the equation given by 4x²-9y²= 9(z²+ 4)

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Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x.(z 0)

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1/3(y2 +…

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Q: (d) Find the area of the surface generated by revolving the curve y = 2a, 0 < x < 3, about the…

A: Part (D) To find the area of the surface generated by revolving the curve, y=2x,0≤x≤3, about the…

Q: find an equation for the surface generated by revolving the curve about y-axis. y = 4x2, (z = 0)

A: I am going to solve the given problem by using some simple calculus to get the required result.

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: Let C be the curve y =x3/2, 1 < x < 4. (a) Find the length of this curve. (b) Find the surface area…

A: Given curve is

Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 11x ,(z = 0)…

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Q: 4. Find the area of surface that is generated by revolving the portion of the curve I = 2/1- y,…

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Q: 3. (a) Find the equation of the plane tangent to the surface given by f(x, y) = 2xª+2y^+7xy at the…

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Q: x? y? The equation of the tangent plane to the surface z? 16 -1=0 at the point (4,3, – V3) is 9. O…

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Q: Consider the surface z = 4x2 + y? + 1. An equation for the tangent plane to this surface at the…

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Q: Find an equation for the surface of revolution formed by revolving the curve 2x + 3z = 1 in the…

A: Our Aim is to find an equation for the surface of revolution formed by revolving the curve 2x+3z=1…

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. 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 = V8 - x, 2 s…

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Q: Find the area of the surface resulting from rotating the curve: x=5t−1, y=2t^3, -2≤t≤1, around the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.  x=1/3(y2 + 2)…

A: The given curve is,