2.) dT/dt = -t^2 + 3t
dT = (-t^2 + 3t)dt
T = -t^3/3 + 3t^2/2 + C
at 4:00 AM
80 = -4^3/3 + 3*4^2/2 + C
C = 80 + 4^3/3 - 3*4^2/2
C = 77.33
T = -t^3/3 + 3t^2/2 + 77.33
at 8:00 AM
T = -8^3/3 + 3*8^2/2 + 77.33
T = 2.67 deg
Anything less than 90, i hope this helps
Here is the Distributive Property made simple.
When you have a number outside a number or numbers inside parentheses, you multiply whatever is inside the parentheses by the number outside the parentheses.
3( 7 + 5 +4) becomes 3 x7 + 3x5 +3 x 4
0r 21 +15 +12
You multiplied each of the numbers by the 3
If there is a variable, that is distributed also
3y(4 + 6) becomes 12 y +18y