NEWrelated_rates

Diagram a x y variables me independentt

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Unformatted text preview: en
saver
displays
the
outline
of
a
3
cm
by
2
cm
rectangle
and
then
expands

 the
rectangle
in
such
a
way
that
the
2
cm
side
is
expanding
at
the
rate
of
4
cm/sec

 and
the
propor=ons
of
the
rectangle
never
change.

 How
fast
is
the
area
of
the
rectangle
increasing
when
its
dimensions
are

 12
cm
by
8
cm?
 Diagram:
 A
 x
 y
 Variables:
 































=me
 • 
independent:
t
 • 
dependent:
x,

y

and


A
 














dimensions






area

 Rela%ons
among
 variables:
 • A=xy
 • x=(3/2)y
 Known:


dy/dt
=
4
cm/sec
 Unknown:
dA/dt

when
x=12
and
y=8
 Diagram:
 A
 x
 y
 Variables:
 







...
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This note was uploaded on 12/07/2010 for the course MATH MATH 2A taught by Professor Alessandrapantano during the Fall '10 term at UC Irvine.

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