   Chapter 15.9, Problem 9E

Chapter
Section
Textbook Problem

Find the image of the set S under the given transformation.9. S is the triangular region with vertices (0, 0), (1, 1), (0, 1); x = u2, y = v

To determine

To find: The image R of the region S by using transformation.

Explanation

Given:

The region is S={(u,v)|0u1,0v1} and x=u2 and y=v .

x=u2 (1)

y=v (2)

Calculation:

Solve the equations (1) and (2) as follows,

Equation (1) becomes, u=x and the equation (2) is v=y .

Rewrite the given region S as,

0x1 and 0y1

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