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Chapter 13: Q 13. (page 1014)

Following region is bounded by functions y=12xandy=x.

Express 惟as type I or type II region. If 惟is a type I region, what are

a,b? If 惟is a type II region, what are c,d?

Short Answer

Expert verified

For type I region,a=0,b=4

For type II region,c=0,d=2

Step by step solution

01

Given Information

The given curves arey=xandy=12x

02

Simplification

It may be considered as either type I or type II.

When type I, it is bounded by y=12xbelow and y=xfor all xin interval 0,4

Hence, for type I region, a=0,b=4

When region is expressed and type II, it is bounded by y=xto left and y=12xfor all yin interval 0,2.

Hence, for type II regionc=0,d=2

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