Scenario: You work as a Test Engineer for a global manufacturer of electrical and mechanical components and systems. Your Line Manager is responsible for delegating to you and your colleagues the testing of theory, principles, and hypotheses from several worldwide company divisions. They have asked you to undertake a series of such evaluations. Activity Task 1: Differentiate each of the following current functions with respect to time and hence determine the 'rate of change' for each of the functions when time, t, is 3 seconds. al i= (3c+5)4 b) i= (4:3 2r + 3)3| c] r' = log.(3tz) d) i = 299:") e) i= sin(5t3 + 6: 3) n r = 42"" ('1 Task 2: PART 1 For the circuit shown below, assuming zero charge on the capacitor att = 0, the current owing may be quantied as: _; ' _ E r=e R Integrate this equation with respect to t and hence nd the charge stored in the capacitor 0.5 seconds after the switch is closed. n 1n11 turn..." I "I All Baal-Ir anus..." Irltm , 'Irn'n'sn'n on": x n' c