If find az/au and az/av. дz/?u Əz/dv= z = sin(x² + y²), x = u cos(v), y = usin(v), REMARK. This problem is unusual: the system expects simplified answers. For example, if the correct answer is a function of u and identically equal to 1. then

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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If
find az/au and az/av.
?z/?u
Əz/dv =
z = sin(x² + y²),
x = u cos(v),
y = u sin(v),
REMARK. This problem is unusual: the system expects simplified answers. For example, if the correct answer is a function of u and v identically equal to 1, then
the expression exp(uv) *exp(-uv) would not be accepted, while the constant 1 would be.
HINT. Try to simplify the *function* itself before differentiating it.
Transcribed Image Text:If find az/au and az/av. ?z/?u Əz/dv = z = sin(x² + y²), x = u cos(v), y = u sin(v), REMARK. This problem is unusual: the system expects simplified answers. For example, if the correct answer is a function of u and v identically equal to 1, then the expression exp(uv) *exp(-uv) would not be accepted, while the constant 1 would be. HINT. Try to simplify the *function* itself before differentiating it.
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