Intro To Parametric & Vector Calculus Worksheet - Calculus Maximus Ws 7.1 Page 5
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7Calculus Maximus
WS 7.1: Param & Vector Intro
dx
1
dy
P x y moves in the xy plane in such away that
t .
12. Point
,
and
2
t
for
0
dt
t
1
dt
t ,
x
y .
(a) Find the coordinates of P in terms of t when
, and
1
ln 2
0
(b) Write an equation expressing y in terms of x.
(c) Find the average rate of change of y with respect to x as t varies from 0 to 4.
t .
(d) Find the instantaneous rate of change of y with respect to x when
1
Page 5 of 7
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