Task 5: (D2) Calculus (exponential growth) (1) In an experiment it was observed that the voltage...

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Task 5: (D2) Calculus (exponential growth) (1) In an experiment it was observed that the voltage across a component when it is being charged through a resistor R is related to time t by the equation V = 18e T T is the time constant and T = CR where R= 30 k Q and C = 25 UF (a) V By completing the table and using appropriate software (or graph t 0 0.1 0.6 0.7 0.8 0.2 0.3 0.4 0.5 paper) plot a graph of voltage v against time t for Ost 0.8s (b) (c) From your graph, find the voltage and rate of change of voltage at 0.3 seconds given that R= 30 k Q and C = 25 UF by drawing a tangent Find the exact rate of change of voltage at 0.3s by using Differentiation Task 5: (D2) Calculus (exponential growth) (1) In an experiment it was observed that the voltage across a component when it is being charged through a resistor R is related to time t by the equation V = 18e T T is the time constant and T = CR where R= 30 k Q and C = 25 UF (a) V By completing the table and using appropriate software (or graph t 0 0.1 0.6 0.7 0.8 0.2 0.3 0.4 0.5 paper) plot a graph of voltage v against time t for Ost 0.8s (b) (c) From your graph, find the voltage and rate of change of voltage at 0.3 seconds given that R= 30 k Q and C = 25 UF by drawing a tangent Find the exact rate of change of voltage at 0.3s by using Differentiation