Integrating, you get an equation for the temperature in the tank as a

If the initial temperature Tinit. is $115$

F $,$ the cold water temperature is $35$

F $,$ and the volume and volumetric flow rate are $3,000$ liters and $30$ liters per minute, respectively.

Repeat the above Question with MATLAB. Create a MATLAB program using loops and logic to:

Calculate the expected water temperature at $5-$minute intervals for the first $60$ minutes after the flow of cold water is established.

Plot the water temperature in the hot tub as a function of time.

Calculate how long it should take for the water in the tub to cool $100$

F$.$