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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
[–/1.92 Points]
DETAILS
LARCALC10 14.1.011.
MY NOTES
ASK YOUR TEACHER
LARCALC10 14.1.015.
MY NOTES
ASK YOUR TEACHER
LARCALC10 14.1.014.
MY NOTES
ASK YOUR TEACHER
LARCALC10 14.1.027.
MY NOTES
ASK YOUR TEACHER
Evaluate the iterated integral.
7
0
2.
8
0
(x + y) dy dx
[–/1.92 Points]
DETAILS
Evaluate the iterated integral.
𝜋/2
0
3.
1
0
[–/1.92 Points]
y2 cos(x) dy dx
DETAILS
Evaluate the iterated integral.
2
−1
4.
5
1
(x + y2) dx dy
[–/1.92 Points]
DETAILS
Evaluate the iterated integral.
𝜋/2
0
14 cos(𝜃)
0
r dr d𝜃
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2/7
4/7/2021
5.
Calculus IV Online – Test 5 – MAT 2623Z Calculus IV Online, section 15 Week, Spring 2021 | WebAssign
[–/1.92 Points]
DETAILS
LARCALC10 14.1.045.
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
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.
[–/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
[–/1.92 Points]
DETAILS
LARCALC10 14.2.017.
MY NOTES
ASK YOUR TEACHER
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 − x2 , 15x − 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
[–/1.92 Points]
8.
DETAILS
LARCALC10 14.2.021.
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
Use a double integral to nd the volume of the indicated solid.
[–/1.92 Points]
9.
DETAILS
LARCALC10 14.3.022.
Evaluate the iterated integral by converting to polar coordinates.
18 − y2
3
0
10.
x2 + y2 dx dy
y
[–/1.92 Points]
DETAILS
LARCALC10 14.3.023.
Evaluate the iterated integral by converting to polar coordinates.
4x − x2
4
0
0
xy dy dx
0
0
dr d𝜃 =
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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
[–/1.92 Points]
DETAILS
LARCALC10 14.3.046.
MY NOTES
ASK YOUR TEACHER
LARCALC10 14.6.002.
MY NOTES
ASK YOUR TEACHER
LARCALC10 14.6.008.MI.
MY NOTES
ASK YOUR TEACHER
Use a double integral to nd the area of the shaded region.
12.
[–/1.92 Points]
DETAILS
Evaluate the iterated integral.
1
−1
13.
1
−1
1
−1
x6y6z6 dx dy dz
[–/1.96 Points]
DETAILS
Evaluate the iterated integral.
𝜋/2
0
y/4
0
1/y
0
sin y dz dx dy
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