What is the equation for exponential decay?
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P(t)= Poe^-kt
What is the equation for exponential growth?
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P(t)= Poe^kt
Po= initial
k= rate
, How do you find the area between two curves?
Give this one a try later!
Step 1: Set equations equal to each to solve for x values= the interval
Step 2: Determine which equation is above and which is below by plugging
in any point within the interval to both. Equation with the greater value is
the one above
Step 3: F(b)- F(a) where F is the antiderivative of above-below
How do you test if critical points are a min, max, saddle point, or inconclusive?
Give this one a try later!
D(x,y)= (a^2f/ax^2)(a^2f/ay^f) - (a^2f/axay)^2
D(x,y)>0 and a^2f/ax^2(x,y)>0 there is a min at (x,y)
D(x,y)>0 and a^2f/ax^2(x,y)<0 there is a max at (x,y)
D(x,y)<0 there is a saddle point
D(x,y)=0 inconclusive
How do find you area under the curve over an interval?
Give this one a try later!
F(b)-F(a) where F is the antiderivative
What does it mean when the f'(x)=0 and f"(x)=0
Give this one a try later!
P(t)= Poe^-kt
What is the equation for exponential growth?
Give this one a try later!
P(t)= Poe^kt
Po= initial
k= rate
, How do you find the area between two curves?
Give this one a try later!
Step 1: Set equations equal to each to solve for x values= the interval
Step 2: Determine which equation is above and which is below by plugging
in any point within the interval to both. Equation with the greater value is
the one above
Step 3: F(b)- F(a) where F is the antiderivative of above-below
How do you test if critical points are a min, max, saddle point, or inconclusive?
Give this one a try later!
D(x,y)= (a^2f/ax^2)(a^2f/ay^f) - (a^2f/axay)^2
D(x,y)>0 and a^2f/ax^2(x,y)>0 there is a min at (x,y)
D(x,y)>0 and a^2f/ax^2(x,y)<0 there is a max at (x,y)
D(x,y)<0 there is a saddle point
D(x,y)=0 inconclusive
How do find you area under the curve over an interval?
Give this one a try later!
F(b)-F(a) where F is the antiderivative
What does it mean when the f'(x)=0 and f"(x)=0
