25 V 5 min

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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Show that the maximum value of f (x, y) = x 2 y3 on the unit circle is

25 V 5
min
Transcribed Image Text:25 V 5 min
Expert Solution
Step 1

We should maximize f(x,y)=x2y3 under the constraint gx,y=x2+y2 where x2+y2=1.

Now,

f=2xy3, 3x2y2g=2x,2y

 

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