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a} The voltage, Fr: in a capacitcr is given by: L1. = a. trust, where IT is the capacitance in Farads [F], the current Ht}

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a} The voltage, Fr: in a capacitcr is given by: L1. = a. trust, where IT is the capacitance in Farads [F], the current Ht} is in Amperes {Amps} and i' is time in seconds. i] Find a general expression for the voltage in a c:-3.1::Iacitur1 with capacitance 5 F given the current in the circuit I [t] 2 3: A. Use C1 as a constant of \fii) If the initial charge in the capacitor is zero, determine a formula to calculate\fiii) Determine the time when the voltage is 30 Volts. iv) Calculate the voltage in the capacitor after 5 and 30 seconds.V) Determine the rate of change of voltage over time of 5 and 30 seconds.A function is given as: f (x) = 4x2 - 5x + 3 1) Find the derivative of the function f(x). ii) Find the gradient of the tangent line at x = 1 on the curvey = f(x)

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