2. Let R be the region in the ry-plane bounded by the curves ry 1, ry =4, and the lines y r, y = 9x. Use the substitution I= -, Y= uv to answer the following questions. a) Sketch the region R in the ry-plane. b) Compute the Jacobian J(u, v) a(z.y) .(a'n)e c) Set up a double integral in the variables u, v that computes the area of R. d) Sketch the region of integration of the integral in part (c) in the uv-plane.
2. Let R be the region in the ry-plane bounded by the curves ry 1, ry =4, and the lines y r, y = 9x. Use the substitution I= -, Y= uv to answer the following questions. a) Sketch the region R in the ry-plane. b) Compute the Jacobian J(u, v) a(z.y) .(a'n)e c) Set up a double integral in the variables u, v that computes the area of R. d) Sketch the region of integration of the integral in part (c) in the uv-plane.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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