   Chapter 15.2, Problem 11E

Chapter
Section
Textbook Problem

Draw an example of a region that is(a) type I but not type II(b) type II but not type I

(a)

To determine

To draw: An example of a region which is of type 1, but not of type 2.

Explanation

Definition used:

Region of type 1:

A plane region D is said to be of type 1 if it lies between two continuous functions of x.

That is, D={(x,y)|axb,g1(x)yg2(x)} , where g1(x) and g2(x) are the continuous functions of x.

Region of type 2:

A plane region D is said to be of type 2 if it lies between two continuous functions of y

(b)

To determine

To draw: An example of a region which is of type 2, but not of type 1.

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