Let a = ci + j and b = 4i + 32j. Find c so that a and b are orthogonal. %3D i

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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Let a = ci +jand b
4i + 32j. Find c so that a and b are orthogonal.
C =
i
Transcribed Image Text:Let a = ci +jand b 4i + 32j. Find c so that a and b are orthogonal. C = i
Consider the function f(x, y) = 8x² – 4y² subject to the condition x? + y? = 16.
Use Lagrange multipliers to find the maximum and minimum values of f subject to the constraint.
Maximum: i
Minimum: i
Find the points at which those extreme values occur.
O (-4)and (0, - 4)
O (4), (-4), (0, 4), and (0, – 4)
O (4)and (0, 4)
O (4), (0,4), and (4)
O (4), (-4), (0, 4), (0, – 4), (4), and (-4 – 4)
Transcribed Image Text:Consider the function f(x, y) = 8x² – 4y² subject to the condition x? + y? = 16. Use Lagrange multipliers to find the maximum and minimum values of f subject to the constraint. Maximum: i Minimum: i Find the points at which those extreme values occur. O (-4)and (0, - 4) O (4), (-4), (0, 4), and (0, – 4) O (4)and (0, 4) O (4), (0,4), and (4) O (4), (-4), (0, 4), (0, – 4), (4), and (-4 – 4)
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