3. (a) Find 1. C{(32²-2)²} i. et 2 5 ii. 1. C-¹ ( ² + 3 ² -3 -2(8 - 3)²} S (b) Consider the function f(t) e²t, = t-2, tz

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3 A Find 1 C 32 2 I Et 2 5 Ii 1 C 3 3 2 8 3 S B Consider The Function F T E T T 2 Tz 1 (60.13 KiB) Viewed 38 times

3. (a) Find 1. C{(32²-2)²} i. et 2 5 ii. 1. C-¹ ( ² + 3 ² -3 -2(8 - 3)²} S (b) Consider the function f(t) e²t, = t-2, tz 2. (c) Solve the equation 0 < t <2 i. Write the function f(t) in the form of unit step functions. ii. Then, find the Laplace Transform of f(t). d'y dt² (8 marks) dy +3+ 2y = 8(t-1) dx (5 marks) dy by using Laplace Transform, given that y(0) = 0 and (0) (0) = 0. dt (7 marks)