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MTH-101 Final Term Exams Preparation Virtual University MCQs With Answers

Question # 1

If a function has an extreme value (either a maximum or a minimum ) on an open interval (a,b) then the extreme value occurs at ____ of f

Choose an answer

First point

Mid point

Critical Point

End Point

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Question # 2

Chain rule is a rule for differentiating ______ of functions

Choose an answer

Product

Sum

Composition

Difference

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Question # 3

d/dx[cosec x]

Choose an answer

1/1+cos²x

-cos x/1-cos²x

1/1-cos²x

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Question # 4

If f''(x)<0 on an open interval (a,b) then which of the following statement is correct

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f is concave up on (a,b)

f is concave down on (a,b)

f is linear on a,b

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Question # 5

30^o

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π/3

π/4

π/6

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Question # 6

lim_x→∞(-2x)=

Choose an answer

-2

Does not exist

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Question # 7

In alternating series test ,which one of the following condition must be satisfied

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lim k→∞ a_k=1

a₁>a₂>a_{3...............>a}k

a₁<a₂<a_{3...............<a}k

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Question # 8

Function f is differentiable function if it is differentiable on the interval

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(-∞,∞)

(a,∞) where a is any negative integer

(0,∞)

None of these

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Question # 9

Suppose that we apply newton method to approximate the real solution of the equation x³-2x²-1=0 if we start at x₁=2,then which of the following is value of x₂?

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2.25

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Question # 10

Tan(x) is continuous every where except at points

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+- kπ/2 where k=(1,3,5.....)

+- kπ/2 where k=(2,4,6.....)

+- kπ/2 where k=(1,2,3,4,5,6.....)

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Question # 11

If the geometric series a+ar+ar²+ar³.......+ar^{k-1 which of the following is true for the given series}

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converges

Diverges

Give no information

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