9. [-/2 Points] DETAILS BERRAPCALC7 9.2.049.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Solve by recognizing that the differential equation is one of the three types whose solutions we know. A drug injected into a vein is absorbed by the body at a rate proportional to the amount remaining in the blood. For a certain drug, the amount y(t) remaining in the blood after t hours satisfies y' = -0.1ly with y(0) = 3 mg. Find y(t). Use your answer to estimate the amount (in mg) present after 4 hours. (Round your answer to two decimal places.) mg Need Help? Read It Watch It Master It 10. [-/2 Points] DETAILS BERRAPCALC7 9.2.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem. During a flu epidemic in a city of 1,000,000, a flu vaccine sells in proportion to both the number of people already inoculated and the number not yet Inoculated. If 100 doses have been sold at time t = 0 and after 6 weeks 5000 doses have been sold, find a formula for the total number of doses sold within t weeks. (Round your coefficients to three decimal places.) Use your formula to predict the sales after 12 weeks. (Round your answer to the nearest whole number.) doses Need Help? Read It Watch It 11. [-/1 Points] DETAILS BERRAPCALC7 9.2.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the solution y(t) by recognizing the differential equation as determining unlimited, limited, or logistic growth, and then finding the constant. [Hint: Use factoring to write the differential equation in the form y' = ay(M - y).] y = 12y - 4y2 by(o) = 1 Need Help? Read It Watch It MacBook Pro