two math problem need help

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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 = 0.03V√t

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?

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