Find the area of the surface of the half cylinder {(r.0,z): r=6, 0≤0sx, 0≤z≤5) using a parametric description of the surface. OLE Set up the integral for the surface area using the parameterization u= 0 and v=z. SSO du dv 00 (Type an exact Enswers, using x as needed.)

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.

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A: The area is the amount of space occupied by a two-dimensional figure. In other words, it is the…

Q: Find the area of the surface generated by revolving the curve 1 V1 + eb", 5x 0 < x < 2 around the…

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Q: Find the aoea of surtace genesated by se volving the icu8ve どラスラ! about y-auis.

A: Given data: The curve is given by, The given limits is,

Q: ortion of the surface z = 3x + 20 that lies inside x^2 + y^2 = 4. Sketch the surface accurately.…

A: Introduction: The formula of the surface z=f(x,y), that lies inside the region R is given by,…

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A: Given curve is x=(cost)(1+cost),y=(sint)(1+cost) , 0≤t≤2π Differentiate with respect to t.…

Q: Find the area of the surface generated by revolving the curve a. y = V1+ e* between x = 0 O and x =…

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Q: Find the area of the surface obtained by rotating the curve.

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Q: Find the approximate area of ​​the part of the plane x=z that is between the planes y = 0 and y = 6…

A: As per the question we have to calculate the area of the plane surface x = z bounded by the planes y…

Q: 6. Find the surface area of the surface defined parametrically as r(u,v) = (v cosu, cosu,sinu), for…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1/3x^3/2,…

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Q: find the area of the surface obtained by rotating the curve along the x-axis

A: Surface area along x-axis

Q: Determine the exact area of the surface obtained by rotating the horizontal line y = 1 about the…

A: We have to determine the exact area of the surface obtained by rotating the horizontal line y = 1…

Q: Let S be the surface given by the first octant part of the paraboloid z=4-x^2-y^2. Find the area of…

A: We need to determine the surface area of the surface bounded by the paraboloid: z=4-x2-y2 in the…

Q: Plot the surface of 6a2- 2x4- y?z2 = 0, for -10 <x, y, z < 10

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Q: Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

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