MATH 232, Section 1, Fall 2014, Quiz 1.
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Name:
Let D be the domain in R2 bounded by y = x, y = 1, x = 0.
1. Draw the domain D.
1
D
1
ex/y dA as an iterated integral for both orders of integration.
2. Write the double integral
D
1
1
MATH 232, Section 1, Fall 2014, Quiz 6.
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F dS where F = xi + y j + z k and S is the
Question 1. Compute the surface integral
S
hemisphere x2 + y 2 + z 2 = 9, y 0, oriented in the direction of the positive y-axis.
Solution:
We
MATH 232, Section 1, Fall 2014, Quiz 5.
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Name:
Question 1. Evaluate the surface area of the cone S dened by z = x2 + y 2 , z 4. (Answers
that uses geometric formulas not seen in class will not be accepted)
Solution: The cone S can
MATH 232, Section 1, Fall 2014, Quiz 5.
Name:
Last 4 digits of PSU ID:
Question 1. Evaluate the surface area of the cone S dened by z = x2 + y 2 , z 4. (Answers
that uses geometric formulas not seen in class will not be accepted)
MATH 230, Section 15, Fall 2014, Quiz 3.
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Question 1. Let S be the solid in the rst octant (i.e., the part of R3 such that x 0, y 0 and
z 0), above the cone of equation z = x2 + y 2 and inside the sphere x2 + y 2 + (z 4)2 = 1
MATH 232, Section 1, Fall 2014, Quiz 4.
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Question 1. Evaluate the line integral
F dr where
C
2
1
F = ln(x + 3) y 2 , ey + 3xy
2
and C is curve shown in the Figure below consisting of the components of the curves x = 1, y = 2
MATH 230, Section 15, Fall 2014, Quiz 3.
Name:
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Question 1. Let S be the solid in the rst octant (i.e., the part of R3 such that x 0, y 0 and
z 0), above the cone of equation z = x2 + y 2 and inside the sphere x2 + y 2 + (z 4)2 = 1
MATH 232, Section 1, Fall 2014, Quiz 4.
Last 4 digits of PSU ID:
Name:
Question 1. Evaluate the line integral
F dr where
C
2
1
F = ln(x + 3) y 2 , ey + 3xy
2
and C is curve shown in the Figure below consisting of the components of the curves x = 1, y = 2
MATH 232, Section 1, Fall 2014, Quiz 2.
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Name:
Let E be the solid in R3 bounded by the sphere x2 + y 2 + z 2 = 1, the xy-plane, the xz-plane, and
such that y 0 and z 0.
zdzdydx as an iterated integral. (Do not compute that integral
MATH 232, Section 1, Fall 2014, Quiz 2.
Name:
Last 4 digits of PSU ID:
Let E be the solid in R3 bounded by the sphere x2 + y 2 + z 2 = 1, the xy-plane, the xz-plane, and
such that y 0.
zdzdydx as an iterated integral. (Do not compute that integral)
1. Set
MATH 232, Section 1, Fall 2014, Quiz 1.
Last 4 digits of PSU ID:
Name:
Let D be the domain in R2 bounded by y = x, y = 1, x = 0.
1. Draw the domain D.
1
1
ex/y dA as an iterated integral for both orders of integration.
2. Write the double integral
D
ex/y
MATH 232, Section 1, Fall 2014, Quiz 6.
Name:
Last 4 digits of PSU ID:
F dS where F = xi + y j + z k and S is the
Question 1. Compute the surface integral
S
hemisphere x2 + y 2 + z 2 = 9, y 0, oriented in the direction of the positive y-axis.