31. f(x, y) = √4 - 4x² - y²

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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29. z = x² + 4y² + 1, elliptic paraboloid
(0, 0, 1)-
31. z = √4 - 4x² - y²
top half of ellipsoid
33.56, 35
39. ha
2.5
2
1.5
1 +
0.5
B(m, h) = k
(1, 0, 0)
35. 11°C, 19.5°C
k= 40
k=30
k = 25
k = 18.5
+-
H
0 20 40 60 80 100 120 140 m
(0, 0, 2)
(0,2,0)
37. Steep; nearly flat
No
Transcribed Image Text:29. z = x² + 4y² + 1, elliptic paraboloid (0, 0, 1)- 31. z = √4 - 4x² - y² top half of ellipsoid 33.56, 35 39. ha 2.5 2 1.5 1 + 0.5 B(m, h) = k (1, 0, 0) 35. 11°C, 19.5°C k= 40 k=30 k = 25 k = 18.5 +- H 0 20 40 60 80 100 120 140 m (0, 0, 2) (0,2,0) 37. Steep; nearly flat No
29. z = x² + 4y² + 1, elliptic paraboloid
(0, 0, 1)-
31. z = √4 - 4x² - y²
top half of ellipsoid
33.56, 35
39. ha
2.5
2
1.5
1 +
0.5
B(m, h) = k
(1, 0, 0)
35. 11°C, 19.5°C
k= 40
k=30
k = 25
k = 18.5
+-
H
0 20 40 60 80 100 120 140 m
(0, 0, 2)
(0,2,0)
37. Steep; nearly flat
No
Transcribed Image Text:29. z = x² + 4y² + 1, elliptic paraboloid (0, 0, 1)- 31. z = √4 - 4x² - y² top half of ellipsoid 33.56, 35 39. ha 2.5 2 1.5 1 + 0.5 B(m, h) = k (1, 0, 0) 35. 11°C, 19.5°C k= 40 k=30 k = 25 k = 18.5 +- H 0 20 40 60 80 100 120 140 m (0, 0, 2) (0,2,0) 37. Steep; nearly flat No
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