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Order

Degree

Directional Derivatives


Gradient

Exponential Change
MODE 3 - 5

Natural Population Growth
C - initial value

Newton’s Law of Cooling
T = Ts + (To - Ts)e-kt
Ts - Surrounding Temperature
To - Initial Temperature

Newton’s Law of Heating

Radioactive Growth/Decay
k (+) Growth
k (-) Decay


Logistic Model
xo - initial population
xmax - total population
x - current population after t years
t - years
k - constant of proportionality

Logistic Curve
y - current population
k - carrying capacity
x - time
c - constant of proportionality

Change in Concentration
