Examination 200 Term 2015 Paper: Multivariate Calculus_ Time Allowed 2:30 Hours Subject BS-CS Math-2214
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Paper text
Examination
200 Term 2015
Paper: Multivariate Calculus_
Time Allowed 2:30 Hours
Subject BS-CS
Math-2214
MaxMarks
32+48-80
-i.
OBJECTIVE (compulsory) (32)
Write short answers of the following questions, each in 3-4 lines on the answer
book and having 2 marks for each.
Q. No. 1.
JöS
What is Laplace transformation?
ili.
-iv= If /(x,y)=3xy? +z, then find /×(1,2,0).
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-vi.
•
vii.
-viii.
What is Ratio test?
What is integral test?
-IX.
- x.
-xi. Find /(-2)./(0) for J (x) =1-22
xii.
Find fcosxdx by using power series.
*xiv.
Verify Fubin's Theorem to integral IT *, +/) d
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av. Use a Tree Diagram to write out the chain rule forv = / (p.q,r), where
p = p(x, =q(x,y,z), q=q(x,y,z), r=r(x,y,z).
KVL
Define Osculating circle.
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