MTH301 Final Term Past Papers 2017

Rana Abubakar Khan

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AɭɩʑY KʜʌN on August 18, 2017 at 6:29pm

Today is my paper......

total question is 52.

40 mcqs & 12 subjective question.

4 question 2 marks, 4 question 3 marks & 4 question 5 marks.

70% mcqs moaz file se thy.

or subjective question

2 subjective question even, odd or neither function k bare m thy

1 question grad div.A K bare m tha.

or 1 question chain rule wala tha.

by ALI ALI on August 19, 2017 at 7:35pm

Asslam o Alikum

MCQZ 60% from moazz file and book also. subjective:

1. Determine the fourier co-efficient a0 of the following function.

f x x x ( ) 0 2 = 2 π

2. .Determine the fourier co-efficient bn of the following function
3. double integral
4. Prove whether the following function is even, odd or neither.

f x=x3ex

5. Curl (curl of a vector function) find krna tha
6. rectangular coordinates find krny thy from polar coordinates given thy

x=rsintheta

y=rcostheta formula

7. chan rule apply krna tha
8. Use Wallis sine formula to evaluate

sin x dx

9. critical points find out krny thy
10. odd and even function find krny thy.

Q1. Prove whether the following function is even, odd or neither. (2 Marks)

Q2. Given . Find scalar triple product of these vectors. (2 Marks)

Q3. Given the equations of two curves . Find the intersecting points of these curves. (2 Marks)

Q4. Find where . (2 Marks)

Q5. Determine whether the following differential is exact or not.

(3 Marks)

Q6. What is the arc-length of the curve when

(3 Marks)

Q7. (3 Marks)

Q8. Determine the Fourier coefficient for a periodic function of period 2 defined by

(3 Marks)

Q9. Evaluate (5 Marks)

and a b i j c i k

2 and y x y x

r t ˆ ˆ ˆ 1) r t ti t j k

(4 3 ) (2 2 ) r t t i t j t

If g f x y z

x x r s t

y y r s t

z z r s t

g State the chain rule for t

0 (6 x xy dx dy

sin cos r dr d 0a

f t

4 (1 + t) -1 < t < 0

0 < t < 1 f t f x x x

(2 6 ) dz xy x dx x y dy