At any time t 2 0, in hours, the rate of growth of a population of bacteria is given by dy/dt = 0.5y. Initially, there are 100 bacteria. (a) Solve for y, the number of bacteria present, at any time t 2 0. y(t) = (b) Write and evaluate an expression to find the average number of bacteria in the population for 0 sts 10. (Round your final answer to two decimal places.) dt = (c) Write an expression that gives the average rate of bacteria growth over the first 10 hours of growth. Indicate units of measure. dt -Select-

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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.