Vinayaka Missions University 2008 B.Sc Mathematics MATHEMATICAL METHODS : t : Correspondence - Question Paper

COURSE CODE - 1030504
UG DEGREE exam - SEP 2008
B.SC (MATHS)
MATHEMATICAL METHODS
(For Candidate Admitted From Calendar Your 2007 On wards)
Time: three hours Max Marks: 75
part – A
ans all the Questions: 15 X one = 15
1. provide an example of a non – empty set which can be
represented only by the property method.
2. What is the meant by exponential function?
3. What is the formula of a circle with centre (a,b) and radius?
4. What is meant by Co-ordinate plane?
5. What is known as parametric equation, if x and y are provided as
function of a different variable‘t’?
6. obtain the formula of the tangent to the curve y = 4x – x2 at(1,3)
7. What is referred as fundamental theorem of integral calculus?
8. describe Differential formula
9. What is meant by exact differential equation?
10. When a random variable is stated to be discrete?
11. Name 2 kinds of probability distribution
12. What does a continuous random variable represent?
13. What is known as standard deviation?
14. What is called as standard Error?
15. What is termed as analysis of variance?
part – B
ans any 5 Questions: five X six = 30
16. a. Show that, for any 2 sets A and B AUB = BUA, So that
the operation of the union is commutative.
(Or)
b. i) obtain the formula of the line whose slope is -1 which
passes throw (-3, 4)
ii) obtain the formula of the line passing throw (2,3) and (5,9)
17. a. obtain d ln [r-l(2r)]
dr
(Or)
b. provided the relation x3 + y3 = 6xy = 0 obtain dy
dx
18. a. obtain the formula of the tangent and the normal at ? = ?
3
to the curve provided by x = a sin ?, y = a cos ?
(Or)
b. Solve dy = dy = 3x2
dx y2
19. a. What is the probability that in a throw of 12 dice every face
occurs twice.
(Or)
b. Suppose 7 coins have been tossed, compute the
probability of a combination which contains four heads and three tails
20. a. What art the merits and dements of cluster sampling?
(Or)
b. elaborate the differences ranging from Correlation and
Regression?
part – C
ans any 2 Questions: two X 15 = 30
21. Prove with the help of vectors, that diagonals of a
parallelogram bisect every other
22. obtain the derivative of the subsequent function:
a) x3 sin x b) sin x cos x c) (3x + 2) / cos x
d) x cosec x e) tan x – cot x
tan x + cot x
23. obtain the formula of the tangent and the normal at ? = ?
4
Curve x = a sin ?, y = b cos ?
24. What is meant by Dispersion?
discuss i) Range ii) Mean Derivation
iii) Lorenz curve iv) Quartile derivation
25. i) elaborate the conditions for applying Chi-square test?
ii) List out the steps of Chi-Square test.

Earning:   Approval pending.