1 a) Find the centroid of the region bounded by the graphs of the given equations.
y=x^2/3, y=0, x=64.
b)You deposit $1000 in bank to earn interest modeled by dp/dt = 0.05 p . How much will you get after 10 years if it compounded continuously?
c) The battery of cell phone has an average lifetime of 2000 hours. It is reasonable to the probability modeling with exponential density function. Use this model to find the probability that a battery dies out after more than 2500 hours.
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