A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.

B) Find general solution by separating variables and integrating

:
C) Initial condition is t=0, T = 87

D) Total time elapsed is 10 minutes, new temperature is 84

solve for alpha

E) Temperature function is:

solving for t

Plug in T = 98.6

This is approximately 32 minutes before he arrived or about 1:20 AM
You should set up an X and Y table. Make time X and Distance Y. (the table is like a cross: on the left top put x and left top put y. Then under the line list the x and y numbers given in order.) Then find the "slope" which is y/x (rise over run) then you get the increase rate of 45 mph. The relation between them would be D=45t
Answer:
-2
Step-by-step explanation:
7-3/2-4=-2
use slope formula
Answer:
15
Step-by-step explanation:
the pattern is like this
start with 1 then add 2 equals 3
start with 3 then add 3 equals 6
so 6 add 4 equals to 10
and the 5th term will be 10 add 5
equals to 15
C .............................