Calculus Maximus
WS 7.1: Param & Vector Intro
Name_________________________________________ Date________________________ Period______
Worksheet 7.1—Intro to Parametric & Vector Calculus
Show all work. No calculator unless explicitly stated.
Short Answer
dy
3
and
2
t
1. If
x t
1
y
e
, find
.
dx
2. If a particle moves in the xy plane so that at any time
t , its position vector is
2
2
0
ln
t
5 ,3
t
t
,
t .
find its velocity vector at time
2
,
3. A particle moves in the xy plane so that at any time t, its coordinates are given by
5
x t
1
4
3
t .
y
3
t
2
t
. Find its acceleration vector at
1
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