Suppose that instead of a bank providing you with a statement every month showing the account balance on different dates, the bank were to provide you with a statement every month showing therates of changeof the balance over time (dB/dt), in dollars per day, calculated at the end of each week

Initial Balance: $12,450.00 dollars

Week 1: dB/dt = -112.50 dollars/day

Week 2: dB/dt = +0.80 dollars/day

Week 3: dB/dt = -47.50 dollars/day

Week 4: dB/dt = +101.75 dollars/day

How does the bank calculate dB/dt from the regular account balance? How can you figure out how much money is left in your account at the end of each week? At the end of Week 4, what is your account balance? In terms of this course, mathematically, how do we describe the process used to determine the weekly balance?