MTH101 Current Midterm Paper Fall 2013 Shared by Nazeer Ahmad Khan File 1

Today paper of MTH 101

12 Dec 2013  Fall 2013 mid term 

Paper was very very easy ….

Total Qs:  26 (Marks 40)

20 Mcqs….. All from handouts... Some from past papers

6 subjective.. 2 Qs (2 marks)   ,   2 Qs (3marks)       ,2Qs (5marks)

 I remember complete paper … So I’m sharing my complete paper..

20 Mcqs   7 from past papers       13 from handouts

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

Cube

Quadrants

Circle

An equation of the form  is called ….

Parabolic

Cubic

Quadratic

Graph of f(x) =|x| is ……

Circle shape

V shaped

U shaped

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

Up

Down

Left

Right

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

Reading

Translation

Creating

Definition

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

Greater than zero

Equal to zero

Less than zero

Less than and equal to zero

Let f(x) is the function as x approaches to 0 then the limit from the positive will be …

Cot(x) discontinuous at …….

Cos(x) =0

Sin(x) = 0

Tan(x) =0

Cot(x) = 0

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

Discontinues

No exit

Continuous

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

-3sce² (5-3x)

3sce² (5-3x)

3cos (5-3x)

3cos² (5-3x)

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

Implicit

Explicit

Simple 

Constant function has the slope …..

Positive

Negative

Zero

Decreasing function has the slope …….

Negative

Positive

Zero

Consider two function f(x)= x^2  then g(x)=sqrt(x) find fog(x)=..................

►x

►x^2

►sqrt(x)

► None of these

A function is said to be continuous function if the function is continuous on the interval

 ►(-infinity, +infinity)

►(0, infinity)

►(-infinity, 0)

► None of these

According to Power-Rule of differentiation, if  where  is a real number, then

►x^n-1

►nx^n-1

►(x-1)x^n-1

►n^n-1

300 = ________

 ►pi/2

►pi/3

► pi/6

►pi/4

 is a .............number

► Integer     

► Rational         

► Irrational

► Natural

The equation of line of the form   is known as

 ► Point-slope form

► Two points form

► Intercepts form

► Slope intercept form

The set of rational number is a subset of

► Integers 

► Natural numbers

► Odd integers

► Real number

Subjective

Question 21

Where the function  will be discontinues?  [2marks]

Question 22

Find dy/dx at (-5, 6)    if x²+y² = 9           [2marks]

Question 23

Does the limit of    exist or not?   [3marks]

Question 24

If  then find the intervals on which function will be increasing and decreasing. [3makrs]

Question 25

Find dy/dx if  by product rule.   [5marks]

Question 26

If  then find all the relative extreme by the first derivative rule. [5marks]