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
Answer:
w = 3.5
Step-by-step explanation:
w = 3.5?
Answer:
5/17
Step-by-step explanation:
If we do the multiplication first, we get:

If we do the division next, we get:

Answer: s = j + 18
Step-by-step explanation:
Let's say Steve's money can be represented as s, and Joe's money as j. Because Steve has 18 more dollars than Joe, simply add 18 to Joe's money to solve for s.
Hope it helps :) and let me know if you want me to elaborate.