. *- dx dy, EXAMPLE 6 Use the Change of Variables Formula to calculate e4x-y where P is the parallelogram spanned by the vectors (4, 1), (3, 3) in Figure 10. (7, 4) (3, 3) G P (0, 1), R (4, 1) FIGURE 10 The map (1, 0) G(u, v) = (4u + 3v, u + 3v).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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. *- dx dy,
EXAMPLE 6 Use the Change of Variables Formula to calculate
e4x-y
where P is the parallelogram spanned by the vectors (4, 1), (3, 3) in Figure 10.
(7, 4)
(3, 3)
G
P
(0, 1),
R
(4, 1)
FIGURE 10 The map
(1, 0)
G(u, v) = (4u + 3v, u + 3v).
Transcribed Image Text:. *- dx dy, EXAMPLE 6 Use the Change of Variables Formula to calculate e4x-y where P is the parallelogram spanned by the vectors (4, 1), (3, 3) in Figure 10. (7, 4) (3, 3) G P (0, 1), R (4, 1) FIGURE 10 The map (1, 0) G(u, v) = (4u + 3v, u + 3v).
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