use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. 1. The portion of the cylinder x2 + y2 = 1 between the planes z = 1 and z = 4 2. Circular cylinder band The portion of the cylinder x2 + z2 = 10 between the planes y =-1 and y = 1

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A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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A: The region is bounded above by z=16-x2-y2 and below by x2+y2≤4. Let x=rcosθ, y=rsinθ and x2+y2=r2…

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Q: a) çalculate the integral S[ (x² + y²)dx dy dz, where W = {(x, y,z) e R³ / x² + y² + z² 0} w b)…

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Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

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Q: Use polar coordinates to find an iterated integral that represents the volume of the solid described…

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Q: HW: Find the area of the surface generaled by revolving 1. LIIC 2. y = Vx- xã , 1 sxs3 about x2, 1…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: This question is related to definite integral, We will solve it using given information.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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