MATH 221 Minnesota State University Mankato SEC25 Iterated Integral Worksheet I have to do math Homework. The class is calculus III. the homework is on web

MATH 221 Minnesota State University Mankato SEC25 Iterated Integral Worksheet I have to do math Homework. The class is calculus III. the homework is on webassign. M221_Sum Homework Assignment 9 (15.1, 15.2) – Math 221, section 25, Summer 2 2020 | WebAssign
1.
[–/1 Points]
DETAILS
SCALCET8 15.1.015.
28/11/1441 AH, 1:09 AM
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
ASK YOUR TEACHER
PRACTICE ANOTHER
Calculate the iterated integral.
3
1
2
(6x2y − 2x) dy dx
0
(No Response)
2.
[–/1 Points]
DETAILS
SCALCET8 15.1.019.
Calculate the iterated integral.
π/2
9
−9 0
(y + y2 cos(x)) dx dy
(No Response)
3.
[–/1 Points]
DETAILS
MY NOTES
SCALCET8 15.1.029.MI.
ASK YOUR TEACHER
PRACTICE ANOTHER
Calculate the double integral.
3xy2
x2 + 1
(No Response)
dA,
R = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2}
R
4.
[–/1 Points]
DETAILS
SCALCET8 15.1.035.
MY NOTES
Sketch the solid whose volume is given by the iterated integral.
1
0
1
0
(9 − x − 2y)dx dy
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Page 3 of 9
M221_Sum Homework Assignment 9 (15.1, 15.2) – Math 221, section 25, Summer 2 2020 | WebAssign
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28/11/1441 AH, 1:09 AM
Page 4 of 9
M221_Sum Homework Assignment 9 (15.1, 15.2) – Math 221, section 25, Summer 2 2020 | WebAssign
5.
[–/1 Points]
DETAILS
28/11/1441 AH, 1:09 AM
SCALCET8 15.2.005.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
SCALCET8 15.2.007.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
MY NOTES
ASK YOUR TEACHER
Evaluate the iterated integral.
s6
1
0
0
cos(s7) dt ds
(No Response)
6.
[–/1 Points]
DETAILS
Evaluate the double integral.
y
2
D x + 1
dA,
D = {(x, y) | 0 ≤ x ≤ 4, 0 ≤ y ≤
x}
(No Response)
7.
[–/1 Points]
DETAILS
MY NOTES
SCALCET8 15.2.017.MI.
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the double integral.
D
9x cos(y) dA, D is bounded by y = 0, y = x2, x = 3
(No Response)
8.
[–/1 Points]
DETAILS
SCALCET8 15.2.018.
Evaluate the double integral.
(x2 + 2y) dA,
D is bounded by y = x, y = x3, x ≥ 0
D
(No Response)
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Page 5 of 9
M221_Sum Homework Assignment 9 (15.1, 15.2) – Math 221, section 25, Summer 2 2020 | WebAssign
[–/1 Points]
9.
DETAILS
SCALCET8 15.2.023.
MY NOTES
ASK YOUR TEACHER
28/11/1441 AH, 1:09 AM
PRACTICE ANOTHER
Find the volume of the given solid.
Under the plane 9x + 2y − z = 0 and above the region enclosed by the parabolas y = x2 and x = y2
(No Response)
10.
[–/4 Points]
DETAILS
SCALCET8 15.2.045.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Sketch the region of integration.
6
y
f(x, y) dx dy
0
0
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Page 6 of 9
M221_Sum Homework Assignment 9 (15.1, 15.2) – Math 221, section 25, Summer 2 2020 | WebAssign
28/11/1441 AH, 1:09 AM
Change the order of integration.
(No Response)
0
(No Response)
(No Response)
f(x, y) dy dx
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Page 7 of 9
M221_Sum Homework Assignment 9 (15.1, 15.2) – Math 221, section 25, Summer 2 2020 | WebAssign
11.
[–/4 Points]
DETAILS
SCALCET8 15.2.049.
MY NOTES
ASK YOUR TEACHER
28/11/1441 AH, 1:09 AM
PRACTICE ANOTHER
Sketch the region of integration.
7
1
ln(x)
0
f(x, y) dy dx
Change the order of integration.
(No Response)
0
(No Response)
(No Response)
f(x, y) dx dy
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Page 8 of 9
M221_Sum Homework Assignment 9 (15.1, 15.2) – Math 221, section 25, Summer 2 2020 | WebAssign
12.
[–/1 Points]
DETAILS
SCALCET8 15.2.051.
28/11/1441 AH, 1:09 AM
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the integral by reversing the order of integration.
3
0
9
3y
2
13ex dx dy
(No Response)
13.
[–/1 Points]
DETAILS
SCALCET8 15.2.056.
Evaluate the integral by reversing the order of integration.
2
8
0
4
3
y
7ex dx dy
(No Response)
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M221_Sum Homework Assignment 10 (15.3,15.5,15.6) – Math 221, section 25, Summer 2 2020 | WebAssign
1.
[–/1 Points]
DETAILS
SCALCET8 15.3.007.
MY NOTES
28/11/1441 AH, 1:10 AM
ASK YOUR TEACHER
PRACTICE ANOTHER
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the given integral by changing to polar coordinates.
2x2y dA, where D is the top half of the disk with center the origin and radius 2.
D
2.
[–/1 Points]
DETAILS
SCALCET8 15.3.008.
MY NOTES
Evaluate the given integral by changing to polar coordinates.
(5x − y) dA, where R is the region in the first quadrant enclosed by the circle x2 + y2 = 25 and the lines x = 0 and y = x
R
3.
[–/1 Points]
DETAILS
SCALCET8 15.3.009.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the given integral by changing to polar coordinates.
sin(x2 + y2) dA, where R is the region in the first quadrant between the circles with center the origin and radii 1 and 4
R
4.
[–/1 Points]
DETAILS
SCALCET8 15.3.014.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the given integral by changing to polar coordinates.
D
2
2
2
2
x dA, where D is the region in the first quadrant that lies between the circles x + y = 16 and x + y = 4x
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Page 2 of 5
M221_Sum Homework Assignment 10 (15.3,15.5,15.6) – Math 221, section 25, Summer 2 2020 | WebAssign
5.
[–/1 Points]
DETAILS
SCALCET8 15.5.003.
28/11/1441 AH, 1:10 AM
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Find the area of the surface.
The part of the plane 13x + 5y + z = 65 that lies in the first octant
6.
[–/1 Points]
DETAILS
SCALCET8 15.5.007.
Find the area of the surface.
The part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 1 and x2 + y2 = 25.
7.
[–/1 Points]
DETAILS
SCALCET8 15.6.501.XP.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the iterated integral.
2
0
8.
2x
x
y
11xyz dz dy dx
0
[–/1 Points]
DETAILS
SCALCET8 15.6.502.XP.MI.
Evaluate the iterated integral.
π/2
0
y
0
x
7 cos (x + y + z) dz dx dy
0
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Page 3 of 5
M221_Sum Homework Assignment 10 (15.3,15.5,15.6) – Math 221, section 25, Summer 2 2020 | WebAssign
[–/1 Points]
9.
DETAILS
SCALCET8 15.6.009.
28/11/1441 AH, 1:10 AM
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the triple integral.
y dV, where E = {(x, y, z) | 0 ≤ x ≤ 9, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
E
10.
[–/1 Points]
DETAILS
SCALCET8 15.6.013.
Evaluate the triple integral.
3xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded by the curves y =
x , y = 0, and x = 1
E
11.
[–/1 Points]
DETAILS
SCALCET8 15.6.504.XP.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the triple integral.
E
12.
5xy dV, where E is bounded by the parabolic cylinders y = x2 and x = y2 and the planes z = 0 and z = 7x + y
[–/11 Points]
DETAILS
SCALCET8 15.6.017.MI.SA.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part,
and you will not be able to come back to the skipped part.
Tutorial Exercise
Evaluate the triple integral.
E
x dV, where E is bounded by the paraboloid x = 4y2 + 4z2 and the plane x = 4.
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Page 4 of 5
M221_Sum Homework Assignment 10 (15.3,15.5,15.6) – Math 221, section 25, Summer 2 2020 | WebAssign
13.
[–/1 Points]
DETAILS
SCALCET8 15.6.019.
MY NOTES
28/11/1441 AH, 1:10 AM
ASK YOUR TEACHER
PRACTICE ANOTHER
ASK YOUR TEACHER
PRACTICE ANOTHER
Use a triple integral to find the volume of the given solid.
The tetrahedron enclosed by the coordinate planes and the plane 9x + y + z = 2
14.
[–/1 Points]
DETAILS
SCALCET8 15.6.027.
MY NOTES
Sketch the solid whose volume is given by the iterated integral.
1
1− x
2 − 2z
dy dz dx
0
0
0
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