STA-301 Quiz OnlineTest With Answers

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STA-301 Quiz OnlineTest

Sr. # Questions Answers Choice
1 Sigma notation is represent by M N <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">Σ</span>
2 y=1/1-x dy/dx if then 1 -1 1/(1-x)<sup>2</sup>
3 h(x)=1/(x-2)(x-4) domain of the function is (-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,2</span>)U (2,4)U (4,+<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞</span>) (-<span style="font-family: arial, sans-serif; font-size: 16px; color: rgb(34, 34, 34);">∞,2</span>)U (2,4)U (4,<span style="font-family: arial, sans-serif; font-size: 16px; color: rgb(34, 34, 34);">∞</span>) All are incorrect
4 set{...-4,-3 ,-2,-1,0,1,2,3,4} is known as the set of natural number Integer whole number
5 logb1/c=_____? log<sub>b</sub>c 1-log<sub>b</sub>c -log<sub>b</sub>c 1+log<sub>b</sub>c
6 logbac_______? log<sub>b</sub>a + log<sub>b</sub>c log<sub>b</sub>a + log<sub>b</sub>b None of these
7 Let y=(x3+ 2x)37which of the following is correct? dy/dx=37(x<sup>3</sup>2x)<sup>36</sup> dy/dx=111x<sup>2</sup>(x<sup>3</sup>2x)<sup>36</sup> dy/dx=(111x<sup>2</sup>+74)(x<sup>3</sup>2x)<sup>36</sup>
8 if x2+y2=9 then dy/dx=? x/y -x/y -y/x
9 if xy=4 then dy/dx =? 0 -1/x<sup>2</sup> -4/x<sup>2</sup>
10 If y=1/1-x the dy/dx=____? -1 1 1/(1-x)<sup>2</sup>
11 According to 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> (n-1)x<sup>n-1</sup>
12 no of x and y are intercept for the equation y=1/x Two x intercepts Two y intercepts No x and y intercept correct None of these
13 Function f is differentiable function if it is differentiable on the interval (-<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;">∞</span>) (a,<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞</span>) where a is any negative integer (0,<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞</span>) None of these
14 graph x =y2is symmetric about x axis y axis origin
15 Center and radius of the circle is (x+5)2+(y-3)2=16 is (-5,3),4 (5,-3),16 (5,-3),4 None of these
16 Consider two function f(x)=x3and g(x)=(x+9) then fog(x)= (x+9)3 x+3 x+9
17 Average velocity of a body is Vave d<sub>1</sub>-d<sub>o</sub>/ t<sub>1</sub>- t<sub>o</sub> t<sub>1</sub>- t<sub>o/f(</sub>t<sub>1)</sub>- f(t<sub>o)</sub> <sub>f(</sub>t<sub>1)</sub>- f(t<sub>o)/</sub>t<sub>1</sub>- t<sub>o</sub> None of these
18 logbar=____? a log<sub>b</sub>r rlog<sub>b</sub>a log<sub>b</sub>a/log<sub>b</sub>r
19 Let xobe the critical point of the function f,those critical point for which f'(xo)=0 are called _______ of Local points End points Stationary points
20 What is the base of natural logarithm ? 2.71 10 5
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