MATH 232, Section 3: Homework for Chapter 9 - revised May 13, 2004
The main topics we covered in Chapter 9 were
(1) Vectors: picture, length & direction, component form, i,j, operations (addition,
scalar mult., dot product), unit vectors, tangents & normals, angle between vectors,
orthogonal (=perpendicular) vectors, projection, vector functions & calculus, position
vector, velocity vector, acceleration vector, curves given in vector form
(2) Polar co-ordinates: definition, picture, graphing in polar co-ordinates, switching be-
tween polar & Cartesian co-ordinates, intersecting polar curves, the area inside a polar
curve or between two polar curves
The following is a trimmed version of the homework I originally gave for Chapter 9. If
you just want to see which problems I cut, look at the second list below.
§9.1, p. 726 #5,6,7,9,11,12,14,15,17ab, 18bc, 19,22,24,26,27,29,
30,35,36,39,40,41,43,44,46,47,49,50,51,54
§9.2, p. 735 #2,3,5,7,11,12,13,15,20,25,26,28,39,30,47,48
§9.3, p. 746 #2,3,4,5,8,10,13,14,23,24,25,26,29,32,33,36,37
§9.4, p. 757 Skipped completely
§9.5, p. 768 #1,2,3,4,5,6,9,10,11,13,14,18,21,23,24,25,28,29,30,35,36,37,
40,41,43,44,46,47,49,51,54,55,57,58,59,66
§9.6, p. 777 #13,14,15,17,18,20,21,23,26
There is review material at the end of the chapter on pp. 780–785, including many
problems you can work.
***********************************************************
The following are the problems I CUT from the original assignment.
§9.2, p. 735 #35,37,47,48
§9.3, p. 746 #11,15,18,19,20,21
§9.4, p. 757 ALL
§9.5, p. 768 #68,69,73
§9.6, p. 777 #1,3,4,6,7,9,12,31,33,36,40