The number of bacteria in a culture is given by the function n(t)=1000e^0.35t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? Hint: the constant in the exponent is the rate, but make sure to convert it to a percent. Your answer is ______ percent (b) What is the initial population of the culture? Your answer is _______ (c) How many bacteria will the culture contain at time t=5? Your answer is (round off to the nearest integer) _______

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.