11. (a) Use implicit differentiation twice to find y" for the circle x² + y² = 49 below. Simplify as much as possible and use the original equation x² + y² = 49 to eliminate the variable x from your expression for y" y 7 0 X (b) In your answer to (a), if y is positive, is y" positive or negative? What if y is negative? For what values of y is the circle concave up? Concave down?
11. (a) Use implicit differentiation twice to find y" for the circle x² + y² = 49 below. Simplify as much as possible and use the original equation x² + y² = 49 to eliminate the variable x from your expression for y" y 7 0 X (b) In your answer to (a), if y is positive, is y" positive or negative? What if y is negative? For what values of y is the circle concave up? Concave down?
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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Transcribed Image Text:11. (a) Use implicit differentiation twice to find y" for the circle x² + y² = 49 below. Simplify as much as
possible and use the original equation x² + y² = 49 to eliminate the variable x from your expression for y"
y
7
0
7
X
(b) In your answer to (a), if y is positive, is y" positive or negative? What if y is negative? For what values
of y is the circle concave up? Concave down?
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