Exam3

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Math 203 Practice Midterm 3

Please work out each of the given problems. Credit will be based on the steps towards the final answer. Show your work. Do your work on your own paper.

Printable Key

Problem 1

A physicist has plotted the position of a projectile over time. Based on Newton’s laws, the projectile should ideally travel in a parabolic path. Use matrices to find the most likely equation of this parabola. (You may use a calculator, but show the matrices that are being manipulated).

Time

Distance

Solution

Problem 2

A new species of fish is introduced into the Truckee River. Initially 2 fish were stocked. It takes one year for this species to spawn, when each fish averages 3 successful children each year. (So there are 2 at the beginning, 2 at the end of the first year, 8 at the end of the second year, 14 at the end of the third year, etc.)