24.

26.
27.

3 D 92959

Section C

Answer any two questions.
Each question carries 10 marks.

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(a) Fin ‏ص‎ 00
(b) Find foosh(2x+3) dx. ,

(c) Evaluate lim x*.
x70

5

3 201“ +7
(b) Determine whether the series > ~
(47 +3 n

converges or diverges.
Find the area of the region that lies outside the circle r = 3 and inside the cardioid r = 2+ 2cos8.
A shell is fired from a gun located on a hill 100 m above a level terrain. The muzzle speed of the
gun is 500 m/sec and its angle of elevation is 30.

(a) Find the range of the shell.

(b) What is the maximum height attained by the shell ?

(c) What is the speed of the shell at impact ?
(2 x 10 = 20 marks