Homework+16+-+Improper+Integrals

A 1 1 x5 2 ex b 0 2 dx x 1 dx 1 c 1 x4

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Unformatted text preview: d by rotating the region below the graph of y x 1 about the x‐axis for 1 x is called Gabriel’s Horn. Show that the volume of G is finite and that the surface area of G is infinite. 5) The Laplace Transform of a function, f(x), is the function Lf(s) of the variable s defined by the improper integral Lf s f x e sx dx 0 if it converges. a) Show that if f x C , where C is a constant, then Lf s b) Compute Lf s , where f x e x and s > 1. C for s > 0. s...
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This homework help was uploaded on 02/24/2014 for the course APMA 1110 taught by Professor Morris during the Fall '11 term at UVA.

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