If R is the region shown below, what is the value of x² y dA? R 4 64/5 128/13 13 None of the above x=2 учах

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If \( R \) is the region shown below,

![Graph]

A right triangle is depicted in the coordinate plane. The triangle is bounded by the line \( y = 2x \), the vertical line \( x = 2 \), and the x-axis. The region \( R \) is shaded in purple with dots inside.

What is the value of \( \iint_R x^2 y \, dA \) ?

- ○ 4
- ○ \( \frac{64}{5} \)
- ○ \( \frac{128}{13} \)
- ○ 13
- ○ None of the above
Transcribed Image Text:If \( R \) is the region shown below, ![Graph] A right triangle is depicted in the coordinate plane. The triangle is bounded by the line \( y = 2x \), the vertical line \( x = 2 \), and the x-axis. The region \( R \) is shaded in purple with dots inside. What is the value of \( \iint_R x^2 y \, dA \) ? - ○ 4 - ○ \( \frac{64}{5} \) - ○ \( \frac{128}{13} \) - ○ 13 - ○ None of the above
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