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

Question # 1

According to Power -Rule of differentiation ,if f(x) =xⁿwhere n is a real number,then d/dx[xⁿ]

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x^n-1

nx^n-1

(n-1)x^n-1

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Question # 2

Lim _x→_a^{f(x)=____ where f(x)=k?}

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k+2

K+1

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Question # 3

The mean value of theorem states that " Let function f can be differentiable on (a,b) and continuous on [a,b] then there is no exist at least one point c in (a,b) where ______

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f'(c)=f(b)-f(a)/b-a

f(c)=f(b)-f(a)/b-a

f(c)=f(a)-f(b)/b-a

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Question # 4

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

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Question # 5

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 # 6

Which of the following is the spring constant k if a spring constant whose natural length is 2m exerts a force of 3N when started 1m beyond its natural legth?

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3 x

3 N/m

2 m

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Question # 7

a function f is ___ on a closed interval [a,b] ,then f has both a maximum and minimum value on [a,b]

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Continuous

Discontinuous

None of these

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Question # 8

The equation of the line of the form y-y₁=m(x-x₁) is known as

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Point Slope form

Two points form

Intercept form

Slop intersect form

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Question # 9

If f(x)=e^-xat x=0 be the taylor series ,then which of the following is also true?

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Arithmetic Series

Maclaurin Series

Geometric Series

Harmonic Series

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Question # 10

The PYTHAGORAS theorem describe the relationship between the sides of

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Right angle triangle

Isoceleous Triangle

Equilateral traingle

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Question # 11

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

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