Solve the below:
Q1. The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^-t/5 dollars per year.
a) Express the value of the machine in terms of its age and initial value.
b) If the machine was originally worth $5,200, how much will it be worth when it is 10 years old
Q2. Evaluate the following integral using the fundamental theorem of calculus.
Integrate with limits 1 to 9 (t^1/2 -4 /t^1/2) dt