MTH101 Midterm Solved Paper 4

MTH101 - Calculus And Analytical Geometry

1. pi/2
2. pi
3. 0
4. -pi

If the definite integral of f(x)=3 over [1,x] is greater than ‘12’ then -----

1. x>12
2. x>5
3. x>3
4. x>1

If [-8,8] is subdivided into ‘16’ equally spaced subintervals, then the RIGHT end point of 13th sub-interval will be--------.

1. 2
2. 3
3. 4
4. 5

Which of the following is the integral of sin(2x)?

1. cos(2x)+C
2. 2cos(2x)+C
3. –(1/2)cos(2x)+C
4. none

Sum of cubes of n-terms of a series whose nth term is ‘n’ = ---

1. Square of n(n+1)(2n+1)/6
2. Square of n(n+1)/2
3. Square of (n+1)/2 (just a guess)
4. Square of n(n+1)/6

In a rectangular coordinate system the coordinate exes divide the plane into four regions called…

1. Cube
2. Quadrants
3. Circle

An equation of the form is called ….

1. Parabolic
2. Cubic
3. Quadratic

Graph of f(x) =|x| is ……

1. Circle shape
2. V shaped
3. U shaped

Y=f(x) +3 translation of the function is at 3 is ….. By c units

1. Up
2. Down
3. Left
4. Right

Graph of y=|x-5| ……… of the graph y=|x| 5 units to the right to get the graph of y.

1. Reading
2. Translation
3. Creating
4. Definition

By the definition and ………… be on the interval (xo, x1)

1. Greater than zero
2. Equal to zero
3. Less than zero
4. Less than and equal to zero

Cot(x) discontinuous at …….

1. Cos(x) =0
2. Sin(x) = 0
3. Tan(x) =0
4. Cot(x) = 0

If a function is differentiable then the function is also ……… on that point

1. Discontinues
2. No exit
3. Continuous

Tan (5-3x) find differentiation w.r.t. x

1. -3sce² (5-3x)
2. 3sce² (5-3x)

3cos (5-3x)

1. 3cos² (5-3x)

Derivative of the will be solved by …….. Method

1. Implicit
2. Explicit
3. Simple

Constant function has the slope …..

1. Positive
2. Negative
3. Zero

Decreasing function has the slope …….

1. Negative
2. Positive
3. Zero

The equation of line of the form is known as

1. Point-slope form
2. Two points form
3. Intercepts form
4. Slope intercept form

The set of rational number is a subset of

1. Integers
2. Natural numbers
3. Odd integers
4. Real number

If Sin(3x^2) / 6 + C is the anti–derivative of a function f(x), then f(x) = ____.

1. x^2 Cos(3x^2).
2. x Cos(3x^2).
3. x Cos(3x).
4. none

Which of the following is the integral of Sin(3x+5) with respect to x ?

1. -1/3[-Cos(3x+5)]
2. 1/3[-Cos(3x+5)]
3. 1/15[-Cos(3x+5)]
4. -Cos(3x+5)