STA-301 Quiz OnlineTest With Answers

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STA-301 Quiz OnlineTest

Sr. # Questions Answers Choice
1 If a1>a2>......>an>.... then a sequence {an} is .... increasing non decreasing decreasing non increasing
2 For a function f ,let f'(xn)=0 for some n Does the newton method for work for approximating the solution of f(x)=0 yes no not sure
3 2/3 is known as even number irrational number natural number rational number
4 Lim x0sinx/x 1 -1 0 2
5 tan x is continuous everywhere except at points +- k<span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π/2 (k=1,3,5....)</span> +- k<span style="font-family: arial, sans-serif; font-size: small; color: rgb(84, 84, 84);">π/2 (k=2,4,6....)</span> Not Sure
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 Nota function Not a Relation
7 The graph x=y2is symmetric about ___ axis X -axis Y-axis origin
8 For a graph to be symmetric about y axis mean ,for each point (x,y) on the graph the point ____ is also on the graph (x,-y) (-x,y) (-x,-y)
9 At which points two curves y=x2and y=x+6 intersect? x=0 and x=2 x=0 and x=3 x=2 and x=3 x=-2 and x=3
10 Sigma notation which is represent which of the following greek letter? χ η Σ ψ
11 Consider the following function h(x) and a constant c then d/dx((c)){h(x)}= 0 d/dx{h(x)} d/dx{h(cx)} cd/dx{h(x)}
12 d(sec x)/dx=? sec x tan x sec x tan y cosec x cot x
13 Let f(x ) is the function such that as x approaches a real number ,either from left or right hand side ,the function value increase or decrease unboundedly then lim f(x) Exist Does not exist Not Sure
14 ______ is the special case for the Taylor's theorem Roll's Theorem Picard's Method Integration Maclaurin Theorem
15 If the partial sum of series is finite then the series will be: Convergent GIve no information Not Sure
16 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
17 For a sequence {an} if the difference between successive terms an+1-an<=0 then the sequence is known as increasing decreasing non decreasing non increasing
18 {1/2n}n1 represent the sequence -1/2,-1/4,-1/8 1/2,1/4,1/7=8 0,1,1/2,1/4
19 What is the length of each sub interval ,if the interval [1,3] is divided into n sub interval of equal length? 1/n 2/n 3/n 4/n
20 If f and g are continuous function on an interval [a,b] f(x)>=g(x) for a<=x<=b and ,then area is bounded by the lines parallel to : X-axis Y axis Both x and y axis
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