(c) The intersection of the surface x² + y² - z² = 1 with the xy plane is A. a line. B. a hyperbola. C. a circle. Correct option: (d) The limit lim A. is 0. (x,y) → (0,0) x². x²+y² Correct option: B. is +1. 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).

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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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).
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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