CALCULUS: EARLY TRANSCENDENTALS (LCPO)
CALCULUS: EARLY TRANSCENDENTALS (LCPO)
3rd Edition
ISBN: 9780134856971
Author: Briggs
Publisher: PEARSON
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Chapter 15.5, Problem 71E

Directions of zero change Find the directions in the xy-plane in which the following functions have zero change at the given point. Express the directions in terms of unit vectors.

67.     f ( x , y ) = 3 + 2 x 2 + y 2 ; P ( 1 , 2 , 3 )

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The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1. Select all that apply: ☐ f(x) is not continuous at x = 1 because it is not defined at x = 1. ☐ f(x) is not continuous at x = 1 because lim f(x) does not exist. x+1 ☐ f(x) is not continuous at x = 1 because lim f(x) ‡ f(1). x+→1 ☐ f(x) is continuous at x = 1.
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