Test 4 is scheduled for the first hour or so of class on Wednesday 6 December.
The topics are listed in the Self-Tests sheet, and also in the links below. But make sure that you practice, don’t just read or watch videos or watch someone else work problems!
This test is shorter than the previous tests, so it will include a problem of solving a rational inequality (similar to problem 4 in Test 3). You may do that problem or you may skip it as you choose. If you do it and receive a higher score than you did on problem 4 if Test 3, the higher score will be credited to your Test 3 score. (See the practice for Test 3 and the Test 3 solutions posted here.)
ThinkingStrategicallyPreTestSurvey – take a moment and complete this as usual!
MAT1375Test4ReviewFall2017 Review self-tests and topics
MAT1375Test4ReviewAnswersFall2017
I have tried to make sure that there are no errors in these, but please let me know if you find anything!
Here are links to some sources to help you if you get stuck:
An exponential growth problem (video) by PatrickJMT – it’s just one example, but he shows the relationship between the form of the exponential function we have used so far and the form where you are given a rate.
For exponential growth, the base is (1+rate), and for exponential decay the base is (1-rate). Be careful, and make sure that you are using this!
Here is another video with some useful examples.
Please make sure that you are using the method where the basic functions are like in those videos, and NOT with base e, as that other method will give you wrong answers with the kind of rates we are talking about!
The five-point method for drawing graphs of sine and cosine functions: (my old notes) The five-point method,
Make sure to look at my new post with notes and a link to video!
Look at the graphs in Example 17.10 in the book and pay attention to how they say that they are getting the x-coordinates of the important points. They are basically following this method, but not showing any computations as they find “halfway between” points.
For the logarithm problems, please see Example 14.3 in the textbook. I have not yet found any good sources online for this.
An exponential growth problem (video) by PatrickJMT – it’s just one example, but he shows the relationship between the form of the exponential function we have used so far and the form where you are given a rate.
For exponential growth, the base is (1+rate), and for exponential decay the base is (1-rate).
I have extended the WeBWorK on inverse trig functions so that you can use it for practice. Here are some links to help with that:
Unit circle for practice
A trick to remember values on the unit circle (video)
How to remember all the important points in the unit circle (video)
Here is a youtube video on finding the exact values of the inverse trig functions that may help: he assumes that you know the important values that come from the two important right triangles and the points on the unit circle on the axes.
