Approximate the volume of the solid in the first octant bounded by the sphere the planes x = 3, y = 3, and the three coordinate planes. To find an approximate value of the double integral, take a partition of the region in the xy plane formed by the lines x = 1, x = 2, y = 1, and y = 2, and take at the center of the i th region

Q: -1 < x <0 The Fourier integral of f(x) = 1, 0<x<1 0, otherwise 00 (1 – cos(w)) sin(wx) dw lw 1. 00…

A: Given that fx=-1-1&lt;x&lt;010&lt;x&lt;10otherwise The Fourier integral of f(x) defined on -∞,∞ is…

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Q: z2 = 9 and outside the cylinder x? + y? = 1.

A: coordinates, x=r cos θy=r sin θz=2 x2+y2=r2cos2θ+sin2θ=r2x2+y2+z2=9r2+z2=9⇒z=±9-r2 x2+y2=r2⇒r=2

Q: Sketch the region enclosed by x + y² = 42 and r + y = 0. Decide whether to integrate with respect to…

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Q: Find the volume of the solid obtained by rotating theregion bounded by the given curves about the…

A: