Question 3 (10 points) The radioactive isotope of a substance, decays at a rate proportional to the amount present at the time  and has a half-life of 3.3 hours.  If 1 gram of this isotope is present initially, how long will it take for 75% of the substance to decay?

Question 5 (10 points) Give the largest interval over which the general solution is defined and find the general solution for the given linear 1st order differential equation.

Question 5 (10 points) Consider the second order nonhomogeneous linear equation

Question 1 (10 points) Suppose that and

What is the primary challenge in identifying QTNs in livestock as compared to model organisms?

Question 6 (10 points) Show that the given differential equation is not exact and solve it by finding an appropriate integrating factor.

Why is functional validation critical in confirming a QTN?

Using the answer from #5, determine what time the infusion will be completed if the fluids were hung at 0600. Use military time:

(Question 2) 10 points Find the explicit general solution and a singular solution of the given first order differential equation.

Question 8 (10 points) A ceramic insulator is baked at