Math 128
ASSIGNMENT 6: Vector/parametric curves
Winter 2011
Due at
8:25 am
on
Wednesday, March 2
nd
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.
Note that this assignment is due after reading week. Since this assignment is of
normal length (shorter than the last one, thank goodness), it is suggested that
you use some of the extra time to ‘brush up’ on previous assignments.
‘Warm up’ exercises:
Not to be submitted, but we recommend you try these first.
Answers are in the back of the text.
•
Find the length of the circle of radius
r
given by
~x
(
t
) = (
r
cos
t, r
sin
t
), 0
≤
t
≤
2
π
.
[
Answer:
2
πr
, of course.]
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. Text 10.1 # 24.
2. Text 10.1 # 28.
3. For the following curve, find the vector equation of the tangent line at
t
0
, and state
the slope of the tangent line at
t
0
. (For practice only, sketch the curve and tangent
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 Spring '11
 PAVLICEK
 Math, Derivative, Vector Space, Velocity

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