(2) You've used a numerical method with second-order global error to estimate the value of a solution of a differential equation, and using 4 time steps you've got an error not exceeding 0.25. How many times must you halve the step size to be sure the error is less than 0.0001? How does the answer change if the method were fifth-order instead?

(6) A bacterial culture contains y(0) grown to y(2) = 250[cells]. Construct and solve the differential equation assuming exponential growth. Determine the number of cells y(t) as a function of time. After how many hours does the bacterial culture 50[cells] at t O[hr]. After t = 2[hr], the bacterial culture has contain 2000 cells?

Two numbers are greater than 10 but less than 40. Their GCF is 17. What are the two numbers?

"Suppose you are studying the growth of a bacteria population and you notice the rate of change of the population is equal to three times the number of bacteria present. Set up an ordinary differential equation for the number of bacteria and calculate the amount of time it will take for the population to double. Does the answer you found depend on the initial population y0 of the bacteria?" Need help solving problem above