Charging the Capacitor Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a "start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by the fixed capacitance and charge as a function of time, q(t). These capacitors are charged and stored in your current location and must be brought to the spacecraft. Your computer provides you with the following denitions: Charge: The charge as a function of time is q(t) = fii) tit, where 3' (t) = 40t7 l 16t3 6 is the current as a function of time. You need to provide the computer with the function q(t) in order for it to appropriately charge the start capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as the lowercase is used for capacitance. D Li! (t) = to Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team