IBSIT (103) BASIC MATHEMATICAL TOOLS Punjab Technical University Question Paper

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Roll No. .................

Total No. of Questions : 13]                                                                                      [Total No. of Pages : 02

Paper ID [A2003]

(Please fill this Paper ID in OMR Sheet)

IBSIT (103) (O) (Sem. - 1st)

BASIC MATHEMATICAL TOOLS

Time : 03 Hours                                                                                                      Maximum Marks : 75

Instruction to Candidates:

1) Section - A is Compulsory.

2) Attempt any Nine questions from Section - B.

Section - A

(15 x 2 = 30)

Q1)

a) What do you mean by quadratic equation?

b) If α and β are the roots of a quadratic equation then form the equation.

c) Examine the nature of roots of the equation (x – 1)² = 0.

d) State Binomial theorem.

e) What do you mean by Positive and Negative angle?

f) Convert 420° into radians.

g) Define Trignometric Identity.

h) What do you understand by equal functions?

i) What do you mean by limit? Briefly discuss L.H.L and R.H.L.

j) Discuss derivative of a function at any point.

y = f (x) is given.

k) Evaluate ∫∫(3 – 2x)4 dx .

l) Evaluate ∫e2 xdx

–∞

0∫

.

m) Define improper integral.

n) Give general term in the expansion of (1 + x)^-n.

o) Evaluate d/dx(log x) and d/dx(tan x).

Section - B

(9 x 5 = 45)

Q2) Find the roots of a quadratic equation ax2 + bx + c = 0, a ≠0 and discuss the nature of roots.

Q4) Prove Binomial theorem by mathematical Induction method.