### 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 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.