21) A particle is moving along the curve, 7 ‏۴۶ے‎ - 27 + (> - 4) / where t denotes the time.
Find the scalar tangential and normal components of acceleration at t = 1. Also find the
vector tangential and normal components of acceleration at t= 0.

22) Find the arc length of the parametric curve x =Scos ‏بر۸‎ = Ssint,z = 21, 0St
(Answer any 2 questions. Each question carries 7 marks)

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2۷) 4-۷۲
23) Evaluate the integral by converting into polar co ordinates [ | (x? +? )dyde
0 0

24) Using triple integral to find the volume bounded by the cylinder

x? +y*=4and the planes 2-0 and y+z2=3

11
25) Change the order of integration and evaluate 1 2 5 2
00% Fy

dxdy

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