MTH-101 Final Term Exams Preparation Virtual University With Answers

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MTH-101 Final Term Exams Preparation Virtual University

Sr. # Questions Answers Choice
1 If f is a twice differentiable function at stationary point xoan f'(xo) <0 then f has relative _______ At xo Minima Maxima None of these
2 If f is a twice differentiable function at stationary point xoan f'(xo) >0 then f has relative _______ At xo None of these Maxima Minima
3 If the geometric series a+ar+ar2+ar3.......+ark-1 which of the following is true for the given series converges Diverges Give no information
4 logb1/t =________ log<sub>b</sub>t 1-log<sub>b</sub>t 1+log<sub>b</sub>t -log<sub>b</sub>t
5 The lim x→a f(x)=___ where f(x)=k
The k is constant
K+1 K+2 k
6 If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y ,we say that y is ____ of x relation function not a function not a relation
7 If a slope m of a nonvertical line is m=1 then the angle of inclination of the line is <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π /4</span> <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π /2</span> <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π /5</span>
8 If a function g is differentiable at a point x and function f is differentiable at a point g(x),then the __ is differentiable a point x. Composition (fog) Quotient f/g product f.g Sum (f+g)
9 According to the power rule of differentiation,if f(x)=xnwhere n is a real number then d/dx[xn]= x<sup>n-1</sup> nx<sup>n-1</sup> nx<sup>n+1</sup>
10 For a function f(x) to be continuous on interval (a,b) the function must be continuous At all point in (a,b) Only at point a,b At mid point of a and b None of these
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