Final(5.4-->) Flashcards
(8 cards)
1
Q
the integral from a to b of a rate of change is
A
the net change between a and b
2
Q
volume by shells
A
integral (2pi x f(x) dx)
3
Q
avg value of a fcn between a and b
A
integral(fx)/(b-a)`
4
Q
SA by rotating around x axis
A
integral a to b(2pi f(X) sqrt(1+ f ‘(x)^2) dx)
5
Q
SA by rotating around y axis
A
integral a to b(2pi x sqrt(1+ f ‘(x)^2) dx)
6
Q
arc length
A
integral to b of sqrt(1+ (f ‘(t))^2)) dt
7
Q
exponential growth/decay thm
A
supp f is a dable fcn on open interval I and f ‘(t)=k f(t) for all t in I and k is constant. Then there exists a constant c st. f(t)=Ce^kt
8
Q
compounded interest
A
Ao(1+(r/n))^nt
