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Return to Foundations of Science Mathematics 2e Student Resources
Chapter 11 Multiple choice questions
Line integrals
Quiz Content
*
not completed
.
Which of the following is
not
true about line integrals?
They give the sum of a quantity calculated along a path.
correct
incorrect
Calculating the total length of a path is an example of a line integral.
correct
incorrect
Calculating the work done in moving against a force is an example of a line integral.
correct
incorrect
The value of a line integral always depends on the details of the path.
correct
incorrect
*
not completed
.
Which of the following is
not
consistent with P(
x
,
y
) d
x
+ Q(
x
,
y
) d
y
being an exact differential?
A function F(
x
,
y
) exists such that dF = P(
x
,
y
) d
x
+ Q(
x
,
y
) d
y
.
correct
incorrect
(∂P/∂
x
)
y
= (∂Q/∂
y
)
x
.
correct
incorrect
The integral of P(
x
,
y
) d
x
+ Q(
x
,
y
) d
y
along a path depends only on its start and end points.
correct
incorrect
The integral of P(
x
,
y
) d
x
+ Q(
x
,
y
) d
y
along a closed path is zero.
correct
incorrect
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