Problem. 10: Use the transformation = and y = v to set up the integral where R is the region in the first quadrant bound

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Problem 10 Use The Transformation And Y V To Set Up The Integral Where R Is The Region In The First Quadrant Bound 1 (255.55 KiB) Viewed 31 times

Problem. 10: Use the transformation = and y = v to set up the integral where R is the region in the first quadrant bounded by the lines y = [42 R 1 and y = 2a, and the hyperbolas zy= A = [ 4xy dA= Problem. 11: Evaluate the integral by making an appropriate change of variables. where R is the rectangle enclosed by the lines x + y = 0, x+y=4, z-y=0, and x - y = 6. Problem. 12: Evaluate the integral by making an appropriate change of variables. where R is the region in the first quadrant bounded by the ellipse 16x² + 64y² = 1. ff 4 (2+1 R [[ 4xy d.A, ff 4(2+3 R 4(x + y)²-² dA= V = and zy= 2. + y)²-² dA, 12 sin 12 sin(162² + 64y²) dA, SS 12 sin(16r² + 64y²) dA = R Problem. 13: Use the technique of change of variable to find the volume of the solid enclosed by the ellipsoid ? ? ? ? du du + 25 = 1. Note that the volume of a unit ball is