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# Mth 101 All Current Mid Term Papers Fall 2013 ~ From (20 Dec , 2013 to 1 Jan 2014 )

All Current Mid Term Papers Fall 2013

From (20 Dec , 2013 to 1 Jan 2014 )

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Today 29 Dec 2013 was my mth101 paper

h(t) = |t^2-4| is continuous at t=2   [marks =3]

Implicit Defferentiation dy/dx if xy =x+y+x^2y [marks =3]

Differentiate y=xe^5x+6 [marks=5]

Total Questions: 26    Total Marks: 40

Total MCQs of 1 Mark: 20

Short Subjective Question of 2 Marks: 2

Subjective Question of 3 Marks: 2

Subjective Questions of 5 Marks: 2

Total Questions: 26    Total Marks: 40

Total MCQs of 1 Mark: 20

Short Subjective Question of 2 Marks: 2

Subjective Question of 3 Marks: 2

Subjective Questions of 5 Marks: 2

0 Mcqs   7 from past papers       13 from handouts

(1)   In a rectangular coordinate system the coordinate exes divide the plane into four regions called…
Cube
Circle
(2)   An equation of the form  is called ….
Parabolic
Cubic
(3)   Graph of f(x) =|x| is ……
Circle shape
V shaped
U shaped
(4)   Y=f(x) +3 translation of the function is at 3 is ….. By c units
Up
Down
Left
Right
(5)   Graph of y=|x-5| ……… of the graph y=|x| 5 units to the right to get the graph of y.
Translation
Creating
Definition
(6)   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
(7)   Let f(x) is the function as x approaches to 0 then the limit from the positive will be …

(8)   Cot(x) discontinuous at …….
Cos(x) =0
Sin(x) = 0
Tan(x) =0
Cot(x) = 0
(9)   If a function is differentiable then the function is also ……… on that point
Discontinues
No exit
Continuous
(10)                        Tan (5-3x) find differentiation w.r.t. x
-3sce² (5-3x)
3sce² (5-3x)
3cos (5-3x)
3cos² (5-3x)
(11)                       Derivative of the  will be solved by …….. Method
Implicit
Explicit
Simple
(12)                       Constant function has the slope …..
Positive
Negative
Zero
(13)                       Decreasing function has the slope …….
Negative
Positive
Zero
(14)                    Consider two function  then ..................

►
►
► None of these
(15)                       A function is said to be continuous function if the function is continuous on the interval
►
►
►
► None of these
(16)                       According to Power-Rule of differentiation, if  where  is a real number, then
►

►
►
(17)                       300 = ________
►
►
►
►
(18)                        is a .............number
► Integer
► Rational
► Irrational
► Natural
(19)                       The equation of line of the form   is known as
► Point-slope form
► Two points form
► Intercepts form
► Slope intercept form
(20)                       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]

subjective
Q.no.1= differentiate with product rule (5 numers)
y=x^-2.(4+3x^-3)
Q.no.2= find dy/dx if x^3+y^3==4 3numbers
Q.no.3= if dy/dx at (-5,6) then x^2+y^2=0 2numbers
Q.no.4= limit x-0 exist or not if
1-cos[X]/x 3numbers

Today 29 Dec 2013 was my mth101 paper

h(t) = |t^2-4| is continuous at t=2   [marks =3]

Implicit Defferentiation dy/dx if xy =x+y+x^2y [marks =3]

Differentiate y=xe^5x+6 [marks=5]

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