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2 D 31818
Find the Maclaurin’s series of f(x) = e* and determine its radius of convergence.

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Find = if x-¢2—u പി.

Find the parametric equation for aline L passing through the points P(-3,3,-2) and G(2,-1,4).
Find an equation in rectangular co-ordinates for the surface with the given cylindrical equation
7-2 ९08 20 - 22 = 4.

Find the point of tangency and unit tangent vector at the point on the curve :

r(t)= (£ +1)i +e‘ j-sin2tk att =0.

Find the length of the arc of the helix given by r(¢) =2costi+ 2sintj+tk,0
Section B

Answer any number of questions.
Each question carries 5 marks.
Maximum marks : 35,

ಕ டட (2x-1)°
Find the derivative of » =————.
4/3 +1

Find | 60503 (३६) शं) (32) क

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1
Evaluate J ‏سر کر‎

وه

3 logn
converges or diverges.

(a) Use integral test to determine whether the series 7

7 =]

ao 1
(b) Determine whether the series 2 72 + 9 converges or diverges.
2-1

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