MATH 307 Final: MATH 307 UW 307C Sp06 Final
Document Summary
Math 307, section c, spring 2006, final exam. You have 110 minutes: you may use a calculator which does not graph and which is not programmable, show your work, please box your nal answer. 1: an industrial pond having volume 100 m3 is full of pure water. Contaminated water containing a toxic chemical of concentration 0. 0002 kg/m3 is then pumped into the pond with a ow rate of 0. 5 m3 per minute. Determine the equilibrium amount and whether it is stable, unstable or semi- stable. (7 points) 2: solve the initial value problem (10 points) (x5 + 3y)dx xdy = 0, y(1) = 1. 3: solve the initial value problem y + 2y + 2y = t, y(0) = 3, y (0) = 1. (10 points) 4: answer the following questions. (a) find l 1{ 2s+5 s2 2s+5 }. (5 points) (b) let f(t) = cos t. Write f(t) using the heaviside step function and nd l{f(t)}. (5 points)
