### Math 433 Mathematics Seminar Homework Problems

Below are the required homework problems from each chapter covered in
the textbook. Homework should be scanned and uploaded to the appropriate
chapter assignment.

**Part 1**:

Ch 1: 1, 2, 3, 5^{#}, 9, 17^{#}, 18, 19, 20.

Ch 2: 1, 2, 3, 9, 11, 12, 21^{#}.

Ch 3: 19, 20, 21, 36.

Ch 4: 1, 2, 18^{#}, 19.

Ch 5: 1, 2, 3, 22.

Ch 6: 4, 5, 8, 9.

**Part 2**:

Ch 7: 1, 2.

Ch 8: 1, 14.

Ch 9: 1, 4, 6a, 22, 23, 24.

Ch 10: 4, 7, 9.

Ch 11: 2.

**Part 3**:

Ch 12: 13, 14, 43, 44.

Ch 13: 17, 18.

Ch 14: 3, 5.

Ch 15: 4, 10^{#}.

Ch 16: 1, 2.

**Problems marked with **^{#} have a hint below:

Ch 1 #5: Note that the answer is 7/10. When I did this problem the Egyptian way, I got 2 5 (that is, 1/2 + 1/5).
Check that the answer the book asks for is equal to 7/10, and do the problem the Egyptian way to get *any* answer that is equal to it.

Ch 1 #17: First, make the denominator a power of 60.

Ch 2 #21: This problem asks you to do a lot. Just give it a try. You do not need to show that your infinite sequence sums to the distance that you found.

Ch 3 #18: Expand the right side and divide everything by some constant so that *x²* has coefficient 1. Then complete the square on *x* and rearrange the equation into standard form.

Ch 15 #10: The subnormal is *v* in our formula in the notes. If you want to take it a step further, use your value of *v* to find the slopes of the normal and tangent lines as well.