Question

Consider the following. $$ \iint_D x \, dA, \quad D $$ is enclosed by the lines $$ y = x, y = 0, x = 4 $$ Express D as a region of type I. $$ D = \{ (x, y) | 0 \le x \le y, 0 \le y \le 4 \} $$ $$ D = \{ (x, y) | 0 \le x \le y, 0 \le y \le x \} $$ $$ D = \{ (x, y) | 0 \le x \le 4, 0 \le y \le x \} $$ $$ D = \{ (x, y) | y \le x \le 4, 0 \le y \le x \} $$ $$ D = \{ (x, y) | 0 < x < y, 0 < y < x \} $$ Express D as a region of type II. $$ D = \{ (x, y) | 0 \le y \le 4, 0 \le x \le y \} $$ $$ D = \{ (x, y) | 0 \le y \le x, y \le x \le 4 \} $$ $$ D = \{ (x, y) | 0 \le y \le 4, 0 \le x \le 4 \} $$ $$ D = \{ (x, y) | 0 \le y \le x, 0 \le x \le y \} $$ $$ D = \{ (x, y) | 0 \le y \le 4, y \le x \le 4 \} $$ Evaluate the double integral in two ways.

          Consider the following.
$$ \iint_D x \, dA, \quad D $$ is enclosed by the lines $$ y = x, y = 0, x = 4 $$
Express D as a region of type I.
$$ D = \{ (x, y) | 0 \le x \le y, 0 \le y \le 4 \} $$
$$ D = \{ (x, y) | 0 \le x \le y, 0 \le y \le x \} $$
$$ D = \{ (x, y) | 0 \le x \le 4, 0 \le y \le x \} $$
$$ D = \{ (x, y) | y \le x \le 4, 0 \le y \le x \} $$
$$ D = \{ (x, y) | 0 < x < y, 0 < y < x \} $$
Express D as a region of type II.
$$ D = \{ (x, y) | 0 \le y \le 4, 0 \le x \le y \} $$
$$ D = \{ (x, y) | 0 \le y \le x, y \le x \le 4 \} $$
$$ D = \{ (x, y) | 0 \le y \le 4, 0 \le x \le 4 \} $$
$$ D = \{ (x, y) | 0 \le y \le x, 0 \le x \le y \} $$
$$ D = \{ (x, y) | 0 \le y \le 4, y \le x \le 4 \} $$
Evaluate the double integral in two ways.

consider the following iintd x da quad d is enclosed by the lines y x y 0 x 4 express d as a region of type i d x y 0 le x le y 0 le y le 4 d x y 0 le x le y 0 le y le x d x y 0 le x le 4 0 49271

Added by Miguel G.

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