   Chapter 15, Problem 2RCC

Chapter
Section
Textbook Problem

(a) How do you define ∬ D f ( x ,     y )   d A if D is a bounded region that is not a rectangle?(b) What is a type I region? How do you evaluate ∬ D f ( x ,     y )   d A if D is a type I region?(c) What is a type II region? How do you evaluate ∬ D f ( x ,     y )   d A if D is a type II region?(d) What properties do double integrals have?

(a)

To determine

To define: Df(x,y)dA where D is a bounded region.

Explanation

The function is defined in the domain as follows.

F(x,y)={f(x,y)  ,  if (x,y) is in D    0        ,  if (x,y) is in R but not in D

Here, f(x,y) is the given function

(b)

To determine

To explain: The type 1 region and the method of  evaluating it.

(c)

To determine

To explain: The type 2 region and the method of  evaluating it.

(d)

To determine

To explain: About the properties of double integrals.

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