No; we have . Substituting these into the DE gives
which reduces to , true only for
.
How could you use the Commutative Property of Addition to rewrite the expression −21 + 7? A) −21(7) B) 3(−21) + 7 C) 7 + (−21) D
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Let 
be the temperature of the body 
hours after 1:30 PM. Then 
and 
.
Using Newton's Law of Cooling,
, we have 
. Now let 
, so
, so 
is a solution to the initial value problem 
with 
.
By separating and integrating, we have
.
≈ 95 minutes. Thus the murder took place about 95 minutes before 1:30 PM, or 11:55 AM.
Using Newton's Law of Cooling,
By separating and integrating, we have
≈ 95 minutes. Thus the murder took place about 95 minutes before 1:30 PM, or 11:55 AM.