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 a function f is ___ on a closed interval [a,b] ,then f has both a maximum and minimum value on [a,b] Continuous Discontinuous None of these
2 An object is displaced 1m by a force of 1N then the work done 2 1 0
3 The equation (x+4)2+(y+1)2=6 represent a circle having center at____ and radius (-4,1),undertoot 6 (-4,-11),undertoot 6 None of these
4 (x2-4)/(x-2) Natural domain is (-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,2</span>)U (2,+<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞</span>) (-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,2</span>) (-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,0</span>) None of these
5 y=f(x) then the average rate of change of y with with respect to x over the interval [xo,x1] is the _______ joining the points (xo ,f(xo)) and (x1f(x1)) on the graph of f Slope of the secant line Slope of the tangent line Secent line none of these
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? 3 x 3 N/m 2 m
7 In alternating series test ,which one of the following condition must be satisfied lim k<span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">→</span><span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞ a<sub>k</sub>=1</span> a<sub>1</sub>&gt;a<sub>2</sub>&gt;a<sub>3...............&gt;a</sub>k a<sub>1</sub>&lt;a<sub>2</sub>&lt;a<sub>3...............&lt;a</sub>k
8 If the partial sum of the series is finite then the series will be Divergent Convergent Give no information
9 Which of the following option is true for the sequence an={1/n}n=1which of the following option is true for the sequence Increasing Decreasing Non increasing Non Decreasing
10 For a sequence {an} if the ration of successive terms an+1/ an<1 then the sequence is known as : increasing decreasing Non increasing non decreasing
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