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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 dr 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 method dy dx when x=-1 by a graphical Find by calculus and compare your answers. dy dx Evidence you must produce for this task Appendix 1 Graph of y = 10(1-e) I Appendix 2 Graph of y = -e-2x voltage (volts) 10 9- 8- 7 6 5- 4- 3 2- 1 0.5 1.5 2 2.5 3 time (seconds) 3.5 6.5 6 5.5 5 4.5 Y (kNm) 4 3.5 3 2.5 2 1.5 1 0.5 0 -1.5-1.25 -1 -0.75 -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 X

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