STA-301 Quiz OnlineTest With Answers

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STA-301 Quiz OnlineTest

Sr. # Questions Answers Choice
1 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? Polynomial Constant Dependent variable Independent variable
2 If there is some function F such that d/dx[F(x)]=f(x) then any of the function of the form F(x)+C is _________ of f(x) Derivative Antiderivative Slope Maximum value
3 The mean value of theorem states that " Let function f can be differentiable on (a,b) and continuous on [a,b] then there is no exist at least one point c in (a,b) where ______ f'(c)=f(b)-f(a)/b-a f(c)=f(b)-f(a)/b-a f(c)=f(a)-f(b)/b-a
4 If a function has an extreme value (either a maximum or a minimum ) on an open interval (a,b) then the extreme value occurs at ____ of f First point Mid point Critical Point End Point
5 logbac=_________ log<sub>b</sub>a + log<sub>b</sub>c log<sub>b</sub>a - log<sub>b</sub>c log<sub>b</sub>a/log<sub>b</sub>c log<sub>b</sub>a * log<sub>b</sub>c
6 Let y=(x3+2x)37 Let Which 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> <br>
7 The tan(x) is discontinuous at the point where Cos(x)=0 Sin(x)=0 Tan(x)=0
8 Polynomials are always ________ function Continuous Discontinuous Not Sure
9 The graph of the equation y=x2-4x+5 will represent Parabola Straight Line Ellipse
10 Which operation can not be applied on the function? Subtraction Cross Product Addition Composition
11 The PYTHAGORAS theorem describe the relationship between the sides of Right angle triangle Isoceleous Triangle Equilateral traingle
12 The pythagoras theorem describe the relationship between the sides of right angle triangle isoceleous triangle equilateral traingle
13 What is the sum of the following series?
1+2+3+----+n
n+1/2 (n+1)(n+2)/2 n(n+2)/2 n(n+1)/2
14 if 2x-y=-3 they dy/dx=? 2 -2 0 -3
15 y=x2/2
Let find the average rate of change of y with respect to x over the interval [3,4]
25/2 7/2 25/14 7/14
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