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Task 3 a) The voltage within a charging capacitor can be modelled by v = 10(1-e). dv Use the graph drawn in appendix 1

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Task 3 a) The voltage within a charging capacitor can be modelled by v = 10(1-e). dv Use the graph drawn in appendix 1 to find the value of graphical method. when t = T sec by a dt dv Find by calculus and compare your answers. dt b) The bending moment (kNm) can be modelled by y=e where y is the bending moment and x is the distance along the beam (meters). Use the graph drawn in appendix 2 to find the value of dy dx when x = -1 by a graphical method Find by calculus and compare your answers. dy dx Evidence you must produce for this task By drawing the correct line, use the graphs in the appendices to find the values requested. Mark up the graphs to show how you have calculated your values. Find the values by calculus and compare them with your values calculated graphically. Your individual value for T will need to be obtained from appendix 3 at the rear of this assignment. To achieve the criteria, you must show that you are able to: Criterion reference Apply graphical methods to the solution of two engineering problems involving exponential growth and decay, analysing the solutions using calculus. D2

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