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

Question # 1

The equation (x+4)²+(y+1)²=6 represent a circle having center at____ and radius

Choose an answer

(-4,1),undertoot 6

(-4,-11),undertoot 6

None of these

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Question # 2

What is the length of each sub interval ,if the interval [1,3] is divided into n sub interval of equal length?

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1/n

2/n

3/n

4/n

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Question # 3

If a₁>a₂>......>a_n>.... then a sequence {a_n} is ....

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increasing

non decreasing

decreasing

non increasing

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Question # 4

y=f(x) then the average rate of change of y with with respect to x over the interval [x_o,x₁] is the _______ joining the points (x_{o ,f(}x_o₎) and (x₁f(x₁)) on the graph of f

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Slope of the secant line

Slope of the tangent line

Secent line

none of these

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Question # 5

If f is a continuous function such that lim_x_→+_∞=+∞ andlim_x_→+_∞=+∞ the f has on

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maximum value but no minimum

minimum value but not maximum

both maximum and minimum value

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Question # 6

______ is the special case for the Taylor's theorem

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Roll's Theorem

Picard's Method

Integration

Maclaurin Theorem

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Question # 7

The graph of the equation y=x²-4x+5 will represent

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Parabola

Single line

Two straight line

Ellipse

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Question # 8

y=1/1-x dy/dx if then

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-1

1/(1-x)²

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Question # 9

d/dx[cosec x]

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1/1+cos²x

-cos x/1-cos²x

1/1-cos²x

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Question # 10

How many critical points exist for a function f if f'(x)=(x-3)(x-2)

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Question # 11

For a function f ,let f'(x_n)=0 for some n Does the newton method for work for approximating the solution of f(x)=0

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yes

not sure

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