Math 128
ASSIGNMENT 7: Polar coordinates & curves
Winter 2012
Due at
8:25 am
on
Wednesday, March 7
th
in the correct drop slot across from MC4066
or in class depending on your instructor’s preference.
Assignments put into the wrong drop
slot will not be marked.
Part A (answer only):
Submit your answers using the template provided on the last
page of this assignment, which you can print or handcopy.
1. Find polar coordinates with
r >
0 and

π < θ
≤
π
for each of the following Cartesian
points:
i)
(1
,

1)
,
ii)
(

1
,
√
3)
iii)
(

1
,
0)
2. Find the Cartesian coordinates of the following polar points:
i)

1
,
π
2
,
ii)
2
,
3
π
4
,
iii)
1
,

π
3
3. From the text, exercise 10.3 # 54.
4. Note that the cardioid
r
=
a
(1 + cos
θ
)
can be represented by
r
= 2
a
cos
2
θ
2
,
0
≤
θ
≤
2
π
. Determine its length.
Part B (full solution):
All solutions must be clearly stated and fully justified.
1. Convert each of the following equations to polar form, and sketch the curve in
R
2
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Winter '10
 Zuberman
 Calculus, Cartesian Coordinate System, Polar Coordinates, following equations, Polar coordinate system, correct drop slot, wrong drop slot

Click to edit the document details