Search over 10,000 free study notes

sec^2 x+ 2tan x = 0 use the fact that sec^2 x= tan^2 x +1 tan^2 x + 2tan x + 1 =0 (tan x +1)^2 = 0 tan x = - 1 x=3π/4, x= 7π/4

A sequence is defined as a function with domain the set of the natural numbers, and codomain the set of the real numbers. A geometric sequence (a_n) is a sequence of the form: a_n = a_(n-1)*r, where r is a c...

A local extreme point would mean that f'(1)=0. Since integration is the inverse application of derivation, to obtain f'(x) function we integrate the f''(x) function. Bearing in mind the integration rule of i...

Proof by induction is a type of proof in which one tries to proof a statement is valid for any arbitrary number of n by first proving for k and then trying to further extrapolate this into a valid statement ...

A decreasing function means that its instantaneous slope ( rate of change) is negative and the function tends to smaller values of y.There are two approaches to this. One is graphical, as sin(x) is a recogni...