Assignment:
Q1. A heated object is allowed to cool in a room temperature which has a constant temperature of To.
a. Analyse the cooling process.
b. Formulate mathematical model for the cooling process.
Q2. At time t= 0 water begins to leak from a tank of constant cross-sectional area A. The rate of outflow is proportional to h, the depth of water in the tank at time t. Write the constant of proportion kA where k is constant.
a. Analyse the tank leaking process.
b. Formulate mathematical model for the leaking process.
Write conclusions based on your formulated mathematical model for leaking process.
Provide complete and step by step solution for the question and show calculations and use formulas.