Q1] Evaluate the following: (3+3+3+3=12 Marks) A) lim sec(x) + B) lim 49×6 – 11×3 – 7×3 X-00 x-2 C) vx + 2-3 lim X-7 X-7 D) sin(5x) cot(7x) lim x-0 x cot(3x) Q2] (3+3+3=9 Marks) dy A] Find dx for the following: 1) y = csc* (Vcos V) 2) xy + tan(xy) = 1 B] Find For the following : x = 2 t2 + t3 , y = sin(t) +t X Q3] Plot the curves of the following functions : (6 + 4 +4=14 Marks) 1) y = vq2-9 2) y = – tan (*) – 2 3) y = 5 sec(-8x) + 4

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Q1] Evaluate the following: (3+3+3+3=12 Marks) A) lim sec(x) + B) lim 49x6 – 11x3 – 7x3 X-00 x-2 C) vx + 2-3 lim X-7 X-7 D) s

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sol. I sec (x) eim + xx-r 2 = - eim x - 7 품 COS(2) when a approaches -x from right then cos(x) => O fecom positive side. → se
sol. lim 2+7 12+2 3 2-7 [o form Apply L- Hopital rule, d (Jx+2 -3) lim = eim d (x-7) d(2+2) - d (3) da da da 21 247 dz O 2 ba