(c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. %3D %3D 1 f. 2/3x + y? 3 (i) 3x+y? (ii) 2/3a+y? (iii) 3/3x+y? for fy(x, y), also let f[g(x)] = (3x + y²)2 with "inner" function g(x, y) = (i) 3a + y? (ii) 3x (iii) 3x + ? 1 (2y)3=D 2/3x + y? fy

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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(c) f(x, y)
= V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01.
1
AT) =
2/3x + y?
3x
(i)
3x+y?
(ii)
2/3x+y?
(ii)
3/3x+y?
for f,(r, y), also let f[g(x)] = (3x + y?)2
with "inner" function g(x, y) = (i) 3x + y² (ii) 3x (iii) 3x + x?
1
fy
(2y)
2/3x + y²
3.
3x
(i)
3x+y²
(ii)
2/32+y?
(ii)
33x+y2
SO
dz
fr(x, y) · dx + fy(r, y) dy
3
dx +
2/3r + y?
dy
V3x + y?
3
(0.01) +
(0.01) =
2/3(2) + (0)2,
3(2)-
+ (0)2
(i) 0.005 (ii) 0.006 (iii) 0.007
Transcribed Image Text:(c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. 1 AT) = 2/3x + y? 3x (i) 3x+y? (ii) 2/3x+y? (ii) 3/3x+y? for f,(r, y), also let f[g(x)] = (3x + y?)2 with "inner" function g(x, y) = (i) 3x + y² (ii) 3x (iii) 3x + x? 1 fy (2y) 2/3x + y² 3. 3x (i) 3x+y² (ii) 2/32+y? (ii) 33x+y2 SO dz fr(x, y) · dx + fy(r, y) dy 3 dx + 2/3r + y? dy V3x + y? 3 (0.01) + (0.01) = 2/3(2) + (0)2, 3(2)- + (0)2 (i) 0.005 (ii) 0.006 (iii) 0.007
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