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 |