Assignment:
Water will be added to the city’s reservoir tonight for a 4 hour period. The rate at which the water is added depends on the time and is given by the function
dw/dt = 1000 + 100t
0 ≤ t ≤ 4
Where w is the volume in gallons and t is the time in hours. Determine the amount of water added.
Provide complete and step by step solution for the question and show calculations and use formulas.