Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question

please solve parts c, d , e 

 

 

 

(a) Suppose a x b| > -a · b > 0. Then the angle between a and b is between A. 0° and 45°. B. 45° and 90°. C. 90° and 135°. D. 135° and 180°. Correct option: (b) Suppose proj₂ b = (1, -1, 1). Then b could be A. (2, -2,2). Correct option: = (c) The intersection of the surface x² + y² - z² B. a hyperbola. A. a line. Correct option: (d) The limit lim A. is 0. (x,y) →(0,0) B. (-1,1,-1). C. (2,2,2). Correct option: x² - y² x²+y² B. is +1. 1 with the xy plane is C. a circle. D. (2,3,4). C. is -1. D. the empty set. D. does not exist. Correct option: (e) The function f(x, y) = x³ + y³ − 3x − 3y has a local maximum at A. (1,1). B. (1,-1). C. (-1,1). D. (-1,-1).
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Transcribed Image Text:(a) Suppose a x b| > -a · b > 0. Then the angle between a and b is between A. 0° and 45°. B. 45° and 90°. C. 90° and 135°. D. 135° and 180°. Correct option: (b) Suppose proj₂ b = (1, -1, 1). Then b could be A. (2, -2,2). Correct option: = (c) The intersection of the surface x² + y² - z² B. a hyperbola. A. a line. Correct option: (d) The limit lim A. is 0. (x,y) →(0,0) B. (-1,1,-1). C. (2,2,2). Correct option: x² - y² x²+y² B. is +1. 1 with the xy plane is C. a circle. D. (2,3,4). C. is -1. D. the empty set. D. does not exist. Correct option: (e) The function f(x, y) = x³ + y³ − 3x − 3y has a local maximum at A. (1,1). B. (1,-1). C. (-1,1). D. (-1,-1).
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