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3.7: #2-5, 7, 12, 14, 16, 22, 28, 34, 38, 42, 46, 48, 50, 72, 78, 80, 82, 88
3.8: #1-4, 6, 12, 16, 18, 22, 26, 30, 36, 38, 40, 44, 46, 58, 60, 62
4.1 / 4.2 - Exponential Functions and their Graphs
4.1: #2-18 (evens), 22, 31, 32, 42, 44, 48, 50, 58, 62, 64
4.2: #4, 6, 12-22, 38, 40, 42
4.3 / 4.4 - Logarithmic Functions and their Graphs
4.3: #2, 3, 8, 12, 13, 15, 27, 28, 31, 33, 35, 40, 42, 44, 48, 50, 52, 54, 58, 66
4.4: #1, 4, 6, 10, 12, 26-30, 38-40, 42, 46, 47
4.5: #1, 2-38 (evens), 39-42
4.6: #1-3, 4-10 (evens), 14, 16, 18, 21, 27, 32-38 (evens), 42, 46, 48, 49, 56, 60, 63, 66, 70, 74, 76, 81
Note: A calculator and/or decimal representation should only be used if the angle in question is not one of the "special" angles.
5.1: #2, 4, 5, 23, 24, 30-36 (evens), 42, 48, 52, 54, 60, 62, 68, 70, 72
5.2: #2-4, 6-18 (evens), 38, 40, 42, 48, 52, 56, 66, 76, 82, 88, 90, 94, 98, 102, 104
5.3: #1-3, 38-50 (evens), 51, 70, 71, 72-76 (evens)
5.4: #10, 14-22 (evens), 42-46 (evens), 50, 54
6.1: #2, 4, 12, 20-28 (evens), 32-42 (evens), 48
6.2: #2, 4, 6-9, 12-18 (evens), 22, 28, 34, 36, 42, 44, 56, 57
6.3: #2, 6-14 (evens), 22, 24, 28, 34, 40, 48-50, 54, 57
7.1: #1, 4, 6, 8, 11, 13, 16-18, 29, 30, 32, 34, 38, 40, 41
7.2: #2-24 (evens), 26, 32, 37-39, 48, 50
7.3: #2-10 (evens), 15-17, 23-27 (odds), 28, 35, 37, 38, 43, 56, 59
7.4: #2, 6-20 (evens), 38-42 (evens)
7.5: #2, 4, 6, 10, 12, 18, 22, 26, 30, 36, 44, 48, 56, 74, 76, 93, 97, 104
8.1: #4, 6, 8, 12, 16, 20, 24-32 evens, 36, 42, 50, 54, 60, 62
8.2: #4, 8, 12, 18, 24, 30, 32, 36, 42, 48, 56, 62, 66, 78
8.3/8.4 (Combined)
8.3: #2, 4, 6-17, 19, 21, 27, 40-50, 56, 58, 60
8.4: #5, 8, 10, 12, 14, 16, 17
8.6: #2, 6, 8, 16, 20, 30, 34, 36, 41
8.8: #2, 8, 10, 14, 18, 21, 30-32, 54, 56, 62, 68, 70
9.5: #4, 6-9, 15-20, 28
9.8: #5-12
Here is a link to a desmos graph that will allow you to see the effects of phase (horizontal) shift, period compression/stretch, amplitude compression/stretch, and vertical shift on the graphs of the sine and cosine functions.
Desmos - Sine and Cosine with Transformations
Here is a link to a desmos graph of some predator/prey models. The final graph is an example of what we may encounter when solving a more accurate model of the predator/prey interaction.
Here is a link to a desmos graph that allows you to enter a function and then move vertical and horizontal lines around freely to perform the vertical or horizontal line tests.
Desmos - Vertical and Horizontal Line Tests
Here is a link to a desmos graph that will graph a polar equation, as well as a prescribed list of polar coordinates. Desmos does not naturally plot polar coordinate pairs, so I had to create a "converter" that will turn the polar coordinates into rectangular coordinates, and then plot them.
Desmos - Polar Coordinate Converter
Here is a link to a desmos graph that shows summative properties of tones in chords and how it creates dissonance.
Desmos - Summative Chord Waves
Showing that pi is irrational using a complex function.
Here is a link to my desmos graph of the baseball scenario at Fenway Park. Feel free to use ideas in the graph, and if you have any questions, please let me know!
Here are a few other past student examples. Be aware that some of them are final projects, so they have more detail than expected in the original 3D motion project.)
I recently found this website that discusses a number of periodic phenomena, in case you are wondering what types of scientific applications there are to trigonometric functions. Additionally, the NOAA website includes a tide predictions tool where you can look at predicted tide data. You will want to use this website for your periodic modeling project.