Questions 291–300 of 403. Imported answers require independent review unless marked reviewed.

Topic practice 403 questionsPage 30 of 41

Question 49

Open question
MANAT2 marksNeeds review
Suppose that

is a linear transformation over

satisfying


Then the coefficient of

in

is

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Question 50

Open question
MANAT2 marksNeeds review
Let

and let

be the surface of the tetrahedron bounded by the planes

If

is the unit outward normal to the tetrahedron, then the value of

is (rounded off to two decimal places)

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Question 51

Open question
MANAT2 marksNeeds review
Let

and let

be the surface

. If

is a unit normal to

and

Then

is equal to

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Question 52

Open question
MANAT2 marksNeeds review
Let

be a non-cyclic group of order 57. Then the number of elements of order 3 in

is

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Question 53

Open question
MANAT2 marksNeeds review
The coefficient of

in the Taylor expansion about

of the function

is (correct up to two decimal places)

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Question 54

Open question
MANAT2 marksNeeds review
Let

be the solution of the initial value problem

Then the value of

is (rounded off to three decimal places)

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Question 55

Open question
MANAT2 marksNeeds review
The value of

is (rounded off to three decimal places)

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Question 3

Open question
MAMCQ1 markNeeds review
Let

(the set of all complex numbers) be defined by

Let

denote the derivative of

with respect to

. Then which one of the following statements is TRUE?
Your answerChoose one option.

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Question 4

Open question
MAMCQ1 markNeeds review
The partial differential equation

is
Your answerChoose one option.

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Question 5

Open question
MAMCQ1 markNeeds review
If

then which one of the following statements is TRUE?
Your answerChoose one option.

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