The spacecraft is nearly ready for takeoff! The last task is to attach the start capacitor to the ship in a simple RC-circuit. Your computer warns you that some adjustments may need to be made if the heat generated in the resistor over the initial time interval is higher than a given threshold.

Your computer is able to provide the following information, along with a note that the units are already accounted for in the equations:

Heat Generated in Resistor over the first3 seconds Q=Rvb2 03e^-2t/(RC) dt joules

Voltage of the Battery: Vb = 5 volts

Resistance R= 5 ohms

Capacitance C = 1/5 farads

Maximum Heat Allowed in Resistor Qmax = 2/5 joules

Is the heat generated in the resistor over the first 3secondsbelow the maximum allowable threshold?

Yes or No?

What is the difference between the maximum threshold (provided above by your computer)and the amount of heat generated in the resistor (that you calculated)? Provide a positive value up to three decimal places.

__________ joules