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Match each double integral in polar with the graph of the region of integration.

ID: 2892882 • Letter: M

Question

Match each double integral in polar with the graph of the region of integration. 1. integral^4_3 integral^7 pi/4_3 pi/4 f(r, theta) r d theta dr 2. integral^3 pi/4_-pi/4 integral^4_3 f(r, theta) r dr d theta 3. integral^3_0 integral^3 pi/4_0 f(r, theta) r d theta dr 4. integral^2 pi_3 pi/2 integral^4_0 f(r, theta) r dr d theta 5. integral^3_0 integral^3 pi/4_-pi/2 f(r, theta) r d theta dr 6. integral^2 pi_0 integral^4_3 f(r, theta) r dr d theta 7. integral^2 pi_0 integral^3_0 f(r, theta) r dr d theta 8. integral^3 pi/2_3 pi/4 integral^3_0 f(r, theta) r dr d theta

Explanation / Answer

1 C :

3pi/4 to 7pi/4 is from 135 to 315, which is best expressed in option C

Just like that, the rest can be done easily enough

2 F

3 E

4 B

5 D

6 A

7 G

8 H