Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations. x = = (u + v) 2 y = 1/2 (u = v) V 0.5 -0.5 -1.0 0-1.5 V 0.5 -0.5 2- (0, 1) (1, 2) R 1,0 (9) (1,0) 1.5 (1, -1) (1, 0) 1,0 تمال با mini 2 2.0 2.5 S 1.5 X S (3, 0) 3,0 3.5 (3, -1) 2,0 (2, 0) 2.5 u u -0.5 -0.5 V 0.5 -0.5 -1.0 -1.5 (0, 0) (0, -1) V 0.5 0.5 -0.5 1.0 (0, 0) S 0.5 S 1.5 (2,0) 2,0 1,0 (2, -1) (1,0) 2.5 1.5

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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5-1

Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.
x = = (u + v)
2
y = 1/2 (u = v)
V
0.5
-0.5
-1.0
0-1.5
V
0.5
-0.5
-1.0
-1.5
2-
(0, 1) (1, 2)
R
1,0
(9)
(1,0)
1.5
(1, -1)
(1, 0)
1,0
تمال با
(1,-1)
mini
2
2.0 2.5
S
1.5
X
S
(3, 0)
3,0 3.5
(3, -1)
2,0
(2, 0)
(2, -1)
2.5
u
u
-0.5
-0.5
V
0.5
-0.5
-1.0
-1.5
(0, 0)
(0, -1)
V
0.5
-0.5
-1.0
0.5
-1.5
1.0
(0, 0)
S
0.5
S
(0, -1)
1.5
(2,0)
2,0
1,0
(2, -1)
(1,0)
2.5
(1,-1)
1.5
u
u
Transcribed Image Text:Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations. x = = (u + v) 2 y = 1/2 (u = v) V 0.5 -0.5 -1.0 0-1.5 V 0.5 -0.5 -1.0 -1.5 2- (0, 1) (1, 2) R 1,0 (9) (1,0) 1.5 (1, -1) (1, 0) 1,0 تمال با (1,-1) mini 2 2.0 2.5 S 1.5 X S (3, 0) 3,0 3.5 (3, -1) 2,0 (2, 0) (2, -1) 2.5 u u -0.5 -0.5 V 0.5 -0.5 -1.0 -1.5 (0, 0) (0, -1) V 0.5 -0.5 -1.0 0.5 -1.5 1.0 (0, 0) S 0.5 S (0, -1) 1.5 (2,0) 2,0 1,0 (2, -1) (1,0) 2.5 (1,-1) 1.5 u u
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