(Solved): please help your my only hope. Find the rate of change of total revenue, cost, and profit with respe ...

Find the rate of change of total revenue, cost, and profit with respect to time. Assume that \( R(x) \) and \( C(x) \) are in dollars. \[ R(x)=45 x-0.5 x^{2}, C(x)=4 x+10, \text { when } x=35 \text { and } d x / d t=20 \text { units per day } \] The rate of change of total revenue is \( \$ \) per day. The rate of change of total cost is \( \$ \) per day. The rate of change of total profit is \( \$ \) per day.