Problem 1: Each of the following integrals can be computed by the
Substitution Method. Indicate the substitution u = f(x) you would make, and rewrite the
integral as an integral with respect to u. Do not solve the u integral.
(10 points total) Problem 2: The value V (t) of a certain investment t years from now is
expected to evolve according to the following differential equation.
dV/dt = 0.03Vâˆšt
1. Solve the above equation for V (t) if the investment was initially valued at $1,000.
2. Approximately how long does it take for the investment to be worth $10,000?