- Your homework 4.1-4.2 returned
- 4.1:
- 24
- 32
- 54
- 4.2:
- 7
- 9
- Ah, if they only all looked like this!
- 4.1:
- Your exam 3 key is on-line
- Curve: add 12 to your raw score, then calculate your percentage out of 60.
- The exam
- A key
- A Mathematica Solution Key
- Some comments:
- You've forgotten your transformation! Many of you simply ignored my instructions (to describe the transformation, and to give period and amplitude of the wave). Read the problems carefully!
- You need to find exact values. Approximate values were not worth anything (maybe a smidge). And the values of each are unique -- you can't have a +/- in them! It's a given angle, and its trig values are unique.
- Interesting demonstration of part c. -- use transformations to draw the graph! I liked it. Part b., you needed to recognize the difference of fourth powers as a difference of squares as well.
- Straight application of double angle formulas, but
you needed the value of
as well (needed to get it in the right quadrant). Those who used arcsine to get x found x in the wrong quadrant....
- Many often forget that square roots can have two values, +/-. That meant many lost a pair of particular solutions.
- Use the Pythagorean identity to write it all in terms of cosine.