Summary
· The area of the region bounded by the curve y = f ( x) between limits x = a and x = b with x –axis if area lies above x-axis is = .
·
The area of the region bounded by the curve y=f(x)x
between the limits x = a and x = b with
x − axis if area lies below x − axis is =
·
The area of the region bounded by the curve x = g(y)
between te limits y = c and y = d with y - axis if the area lies to the right
of y- axis is =
·
The area of the region bounded by the curve x = g (
y) between the limits y=d and y=e with y-axis if the area lies to the left of
y- axis is =
·
The area between the two given curves y=f(x) and y=g(x)
from x = a to x = b , is a∫b ( f ( x) − g ( x)) dx.
·
If the rate of growth or sale of a function is a
known function of t say f(t) where t is a time measure, then total growth (or)
sale of a product over a time period t is
given by,
· Total sale
· Elasticity of demand is
· Total inventory carrying cost
·
Amount of annuity after N Payment is A
·
Cost function is C = ∫ ( MC) dx + k.
·
Average cost function is AC = C/x , x ≠0
·
Revenue function is R = ∫( MR )dx + k.
·
Demand function is P = R/x
·
Profit function is =MR–MC = R ′( x) − C ′( x)
· Consumer’s surplus
· Producer’s surplus
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