Question 6 (10 points)  A 16-pound object stretches a spring 8/9 feet by itself. There is no damping and no external forces acting on the system.  The spring is initially displaced by 6 inches upward from its equilibrium position and given a velocity of 1 ft/sec downward.  Find the displacement at any time t. 

Question 10 (10 points) A 48-volt battery is connected to a series circuit in which the inductance is henry and the resistance is 16 ohms. Determine the current if the initial current is zero.

Question 6 (10 points) Find the general solution (and a particular solution for the IVP) and determine whether there is any transient term in the general solution. where

Question 8 (10 points) A hot object at 200°C is cooling in a 30°C room and reaches 150°C in 8 minutes. When will it be 90°C?

Question 5 (10 points) Solve the Bernoulli differential equation:  

Question 9 (10 points) Use the substitution method to solve:

OPTIONAL QUESTION FOR UP TO 5 ADDITIONAL POINTS: Using proper grammar, spelling & oceanography terms, please compose one well-written paragraph describing the most significant concept you learned during the second half of the semester. Please explain exactly what you learned and why it was significant to you. Quality matters here if you want to earn the full 5 points. This question will be graded manually by your professor and your final score will not be available until that is completed.

As a wave begins to feel bottom near a shoreline, its wave height:

Calcium carbonate, phosphates, and manganese may precipitate out of solution to form deposits on the ocean floor.

All of the following are typically characteristic of depositional shores except: