LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

FIRST SEMESTER – NOVEMBER 2012

MT 1101 – MATHEMATICS FOR STATISTICS

 

 

Date : 03/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

 

PART – A

         Answer ALL questions                                       (10 x 2 = 20)

1. If y=log(2x+3) then find
2. If with respect to ,
3. Define implicit function.
4. Find the value of.
5. Define Homogeneous function.
6. If then find .
7. Evaluate:
8. Solve
9. Write the two properties of definite integrals.
10. Evaluate:

 

PART – B

    Answer any FIVE questions                                (5 x 8 = 40)

11. Differentiate: .
12. If with respect to, find
13. Examine whether the following functions are odd or even functions.

14. Show that , when x is positive.
15. State and prove Euler’s theorem.
16. Evaluate:
17. Evaluate the rational algebraic function .
18. Evaluate:

 

PART – C

    Answer any TWO questions                                  (2 x 20 = 40)

19. a). If then find

b). Differentiate.                                                                                (10+10)

20. a). Find the limit of the function

b). Determine the maxima and minima of the function

(10+10)

21. a). Evaluate:

b). Using by parts method find out the value of                                  (10+10)

22. a).Evaluate:

b). Evaluate  using reduction formula.                                                      (10+10)

 

 

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