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

Question # 1

For a sequence {a_n} if the difference between successive terms a_n+1-a_n<=0 then the sequence is known as

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increasing

decreasing

non decreasing

non increasing

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Question # 2

Let y=(x³+ 2x)³⁷which of the following is correct?

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dy/dx=37(x³2x)³⁶

dy/dx=111x²(x³2x)³⁶

dy/dx=(111x²+74)(x³2x)³⁶

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Question # 3

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 # 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

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 # 6

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 # 7

Consider two function f(x)=x³and g(x)=(x+9) then fog(x)=

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(x+9)3

x+3

x+9

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Question # 8

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

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Question # 9

Let x_obe the critical point of the function f,those critical point for which f'(x_o)=0 are called _______ of

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Local points

End points

Stationary points

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Question # 10

if xy=4 they dy/dx ?

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-1/x²

4/x²

-4/x²

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Question # 11

If there is some function F such that d/dx[F(x)]=f(x) then antiderivatives of f(x) are F(x)+C .What does C represent?

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Polynomial

Constant

Dependent variable

Independent variable

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