Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Question 61

Open question
MANAT2 marksNeeds review
Let

be the open unit disc and

be its boundary. If

is the solution of the following Dirichlet problem



then the value of

is ________. (answer in integer)

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Question 62

Open question
MANAT2 marksNeeds review
Let

be equipped with the topology

. Then the number of subsets of

which are neither open nor closed is ________. (answer in integer)

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Question 63

Open question
MANAT2 marksNeeds review
Let

. If

is an optimal solution of the Linear Programming Problem:

then the maximum value of

is equal to ________. (answer in integer)

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Question 64

Open question
MANAT2 marksNeeds review
Let

and let

denote the smallest integer greater than or equal to

. Then the value of the integral

is ________. (answer in integer)

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Question 65

Open question
MANAT2 marksNeeds review
If Jacobi method is used to solve the following system of linear equations

with the initial guess

and

,

, denotes the

iterate, then the value of

is equal to ________. (answer in integer)

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