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Here is my last calculus assignment. I appreciate all of the help during the semester.

4/7/2021
1.
Calculus IV Online – Test 5 – MAT 2623Z Calculus IV Online, section 15 Week, Spring 2021 | WebAssign
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
LARCALC10 14.1.011.
MY NOTES
LARCALC10 14.1.015.
MY NOTES
LARCALC10 14.1.014.
MY NOTES
LARCALC10 14.1.027.
MY NOTES
Evaluate the iterated integral.
7
0
2.
8
0
(x + y) dy dx
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
Evaluate the iterated integral.
Ã°ÂÅ“â€¹/2
0
3.
1
0
[Ã¢â‚¬â€œ/1.92 Points]
y2 cos(x) dy dx
DETAILS
Evaluate the iterated integral.
2
Ã¢Ë†â€™1
4.
5
1
(x + y2) dx dy
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
Evaluate the iterated integral.
Ã°ÂÅ“â€¹/2
0
14 cos(Ã°ÂÅ“Æ’)
0
r dr dÃ°ÂÅ“Æ’
https://www.webassign.net/web/Student/Assignment-Responses/last?dep=25960108
2/7
4/7/2021
5.
Calculus IV Online – Test 5 – MAT 2623Z Calculus IV Online, section 15 Week, Spring 2021 | WebAssign
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
LARCALC10 14.1.045.
MY NOTES
MY NOTES
Sketch the region R of integration and switch the order of integration.
3
0
y
0
f(x, y) dx dy
3
3
0
y
0
f(x, y) dx dy =
f(x, y) dy dx
0
6.
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
LARCALC10 14.2.011.
Set up integrals for both orders of integration, and use the more convenient order to evaluate the integral over the region R.
xy dA
R
R: rectangle with vertices (0, 0), (0, 7), (5, 7), (5, 0)
xy dx dy =
0
0
xy dy dx =
0
0
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3/7
4/7/2021
7.
Calculus IV Online – Test 5 – MAT 2623Z Calculus IV Online, section 15 Week, Spring 2021 | WebAssign
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
LARCALC10 14.2.017.
MY NOTES
Set up integrals for both orders of integration, and use the more convenient order to evaluate the integral over the region R.
R
x dA
R: sector of a circle in the rst quadrant bounded by y =
0
289 Ã¢Ë†â€™ x2 , 15x Ã¢Ë†â€™ 8y = 0, y = 0
x dy dx
0
+
8
0
x dy dx
0
8y/15
x dx dy
=
=
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4/7
4/7/2021
Calculus IV Online – Test 5 – MAT 2623Z Calculus IV Online, section 15 Week, Spring 2021 | WebAssign
[Ã¢â‚¬â€œ/1.92 Points]
8.
DETAILS
LARCALC10 14.2.021.
MY NOTES
MY NOTES
MY NOTES
Use a double integral to nd the volume of the indicated solid.
[Ã¢â‚¬â€œ/1.92 Points]
9.
DETAILS
LARCALC10 14.3.022.
Evaluate the iterated integral by converting to polar coordinates.
18 Ã¢Ë†â€™ y2
3
0
10.
x2 + y2 dx dy
y
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
LARCALC10 14.3.023.
Evaluate the iterated integral by converting to polar coordinates.
4x Ã¢Ë†â€™ x2
4
0
0
xy dy dx
0
0
dr dÃ°ÂÅ“Æ’ =
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5/7
4/7/2021
11.
Calculus IV Online – Test 5 – MAT 2623Z Calculus IV Online, section 15 Week, Spring 2021 | WebAssign
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
LARCALC10 14.3.046.
MY NOTES
LARCALC10 14.6.002.
MY NOTES
LARCALC10 14.6.008.MI.
MY NOTES
Use a double integral to nd the area of the shaded region.
12.
[Ã¢â‚¬â€œ/1.92 Points]
DETAILS
Evaluate the iterated integral.
1
Ã¢Ë†â€™1
13.
1
Ã¢Ë†â€™1
1
Ã¢Ë†â€™1
x6y6z6 dx dy dz
[Ã¢â‚¬â€œ/1.96 Points]
DETAILS
Evaluate the iterated integral.
Ã°ÂÅ“â€¹/2
0
y/4
0
1/y
0
sin y dz dx dy
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