Section
2.3
Modeling
with
First
Order:
Problem
1
Previous
Problem
(1
point)
Newton's
law
of
cooling
says
that
the
rate
of
cooling
of
an
object
is
proportional
to
the
difference
between
the
temperature
of
the
object
and
that
of
its
surroundings
(provided
the
difference
is
not
too
large).
If
T
=
T'(¢)
represents
the
temperature
of
a
(warm)
object
at
time
¢,
A
represents
the
ambient
(cool)
temperature,
and
k
is
a
negative
constant
of
proportionality,
which
equation(s)
accurately
characterize
Newton's
law?
A.
%
=k(A-T)
B.
%
=
kT(T
—
A)
C.
‘{f
=kT(1-T/A)
Op.
‘%
=
k(T
—
A)
E.
All
of
the
above
F.
None
of
the
above
