39. Let G be the inverse of the map F(x, y)= (xy,x²y) from the xy-plane to the uv-plane. Let D be the domain in Figure 18. Show, by applying the Change of Variables Formula to the inverse G = F-', that 20 40 " dx dy = e"v-!dv du exy and evaluate this result. Hint: See Example 8. y 20 .ху 20 10- x²y = 40 x²y = 20 ху — 10- 1 2 3 4 5 FIGURE 18

39. Let G be the inverse of the map F(x, y)= (xy,x²y) from the xy-plane to the uv-plane. Let D be the domain in Figure 18. Show, by applying the Change of Variables Formula to the inverse G = F-', that 20 40 " dx dy = e"v-!dv du exy and evaluate this result. Hint: See Example 8. y 20 .ху 20 10- x²y = 40 x²y = 20 ху — 10- 1 2 3 4 5 FIGURE 18

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 45E: Let T be a linear transformation from R2 into R2 such that T(x,y)=(xcosysin,xsin+ycos). Find a...

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