Questions 41–46 of 46. Imported answers require independent review unless marked reviewed.

Topic practice 46 questionsPage 5 of 5

Question 45

Open question
PHNAT2 marksNeeds review
The absolute value of the integral

over the circle

in complex plane, is ______ (up to two decimal places).

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Question 15

Open question
PHNAT1 markNeeds review
The contour integral

evaluated along a contour going from

to

along the real axis and closed in the lower half-plane by a half circle is equal to ______. (up to two decimal places).

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Question 21

Open question
PHMCQ1 markNeeds review
The coefficient of

in the Fourier expansion of

for

is
Your answerChoose one option.

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Question 39

Open question
PHNAT2 marksNeeds review
The imaginary part of an analytic complex function is

. The real part of the function is zero at the origin. The value of the real part of the function at

is ________. (up to two decimal places).

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Question 40

Open question
PHMCQ2 marksNeeds review
Let

be a column vector of dimension

with at least one non-zero entry. The number of non-zero eigenvalues of the matrix

is
Your answerChoose one option.

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Question 54

Open question
PHNAT2 marksNeeds review
Consider the differential equation

. If

,

is ________. (up to two decimal places).

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