Question

HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. Question 1: a) Show from first principles that the Laplace transform of the function f(n)=1, 120 is f(s) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t); b) f(t) = t.sin(56) OR ii) f(t) = 5 sin 2(t - 3). H(t - 3) (8 Marks) c) For an RC circuit, with input voltage, V, the equation governing the current response, 1(1), is given as; RI + asia Idt = V(t) Find, using the Laplace transform, the general solution to the current response, I(6), using the Laplace transform. (10 Marks) d) If the supply voltage, V() in Q1(c) is replaced with a step input given as; V(t) = Vo(u(t -a-uſt-b) Find the current response, (t), of the circuit.

Answer 1

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