| Suppose [math] is the shaded region in the figure, and [math] is a continuous function on [math]. Find the limits of integration for the following iterated integrals.
(a) [math]
(b) [math]
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 |
Note: You can earn partial credit on this problem.
For the integral [math] sketch the region of integration and evaluate the integral.
Your sketch should be approximately the same as one of the graphs shown below; which is the correct region? Graph
Then [math]
Graphs:
1.  |
2.  |
3.  |
4.  |
5.  |
6.  |
Evaluate the double integral [math] where [math].
Answer:
Evaluate the double integral [math] where [math] is bounded by [math] [math] and [math]
Answer:
Set up a double integral in rectangular coordinates for calculating the volume of the solid under the graph of the function [math] over the triangular region [math] and [math].
Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy in each box. Then, enter the limits of integration and evaluate the integral to find the volume.
[math]
A =
B =
C =
D =
Volume =
Note: You can earn partial credit on this problem.
Calculate the double integral of [math] over the triangle indicated in the following figure:
[math]
Answer :
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STM32 (1)
