Math 19520 - 49: HW 2
Winter 2016
Due Wednesday, January 20 at start of class
1. Read sections 10.4, 12.1-12.3.
2. Show that if (x, y) 6= (0, 0) and the polar coordinates for (x, y) are (r, ), then cos() =
and sin() = (x2 +yy2 )1/2 .
x
(x2 +y 2 )1/2
3. Do
Math 19520 - 49: HW 4
Winter 2016
Due Wednesday, February 3 at start of class
1. Read sections 13.1,13.2,14.1,14.2. Example 3 in section 14.2 shows that even if a function has
the same limit along all lines through a point, it may not actually have that l
Math 19520 - 49: HW 7
Winter 2016
Due Wednesday, February 24 at start of class
1. Reread sections 14.7 and 14.8.
2. Do the following problems from section 14.7: 4,6,16,20,22,49,52,56. For 52, you may assume the
aquarium is a rectangular prism, although in