f(x, y) = x2 + 20x + y² + 16y + 10 O f(-10, 8) = 102, saddle point O f(10, 8) = 502, local maximum O f(10, -8) = 246, saddle point f(-10, -8) = -154, local minimum

Calculus: Early Transcendentals
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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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Question 1
Find all the local maxima, local minima, and saddle points of the function.
f(x, v) = x² + 20x + y² + 16y + 10
f(-10, 8) = 102, saddle point
f(10, 8) = 502, local maximum
%3D
f(10, -8) = 246, saddle point
O f(-10, -8) = -154, local minimum
Transcribed Image Text:Question 1 Find all the local maxima, local minima, and saddle points of the function. f(x, v) = x² + 20x + y² + 16y + 10 f(-10, 8) = 102, saddle point f(10, 8) = 502, local maximum %3D f(10, -8) = 246, saddle point O f(-10, -8) = -154, local minimum
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