Subject: BSIT lime Allowed: 2.30 Hours University of Sargodha BS 1% Term Examination 2015

Subject: BSIT

lime Allowed: 2.30 Hours

University of Sargodha

BS 1% Term Examination 2015

Paper: Caleulus & Analytical Geometry (MATH-2213)

Maximum marks: 80

Objective part (Compulsory)

2.No.1 Write short answer of the following questions.(16*2=32)

& Find the interval value of z if

-1≤1

Lind the equation that has slope ½ and y-intercept is -3

3.

is a graph of f(x) =?

Graph the function /(x) =*

05 x ≤1

2-x 1 < Y≤2

as find the domain and rang of y = /xl.

* Discuss the following function is increasing or decreasing f(x) = -x.

11 (x) = x*+1 and g(x) = x-i then find gof(x).

Tine Even and Odd function.

sin e

Evaluate lim

5-D sin 20

v. If f(x) =x- 1 and g(x) =

x+1 find g(f(1/2)) .

11. Solve

dr

- if r = 4-0 sino:

12. Phd the domain of /(x) = /16-x*.

le

an indelinite integral the value of integral j/(x)de ist

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16 Xx'y=2, then what is the slope of this curve at = -

1.

Subjective Part

Attempt any three out of five questions (3*16=48)

Q. No 2 Fine the equation of the line that passes through (0,

1) and is perpendicular to the line 8x-/3y==13.

Q.Nod State and prove of mean value theorem.

Find liméos

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O.No.S Solve by D'Hopital's rule

lim x (cos x-1)

- sin x -x

O.No mind the derivative at each critical point and determine the local extreme value of

x < 0

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