Calc 2 Final

Radius & Interval of convergence for power series

set to >1

Area inclosed by polar curve

\int_{\placeholder{}}^{}\frac12r^2

Polar coordinates to get r

r=\sqrt{a^2+b^2}

Polar coordinates to get theta

arctan(x/y)

Orthogan trajectory

get dy/dx of y, plug in k, take reciprocal

P test

converges if p>1 diverges if p <= 1

Equilibrium solution

set dy/dx = 0

Sequence converges if

If limit exists

If limit exists for series

its divergent

McLaurin seires for e^x

x^n / n!

McClaurin series for sin

(-1)^n x²n+1 /(2n+1)!

Mclaurin series for cos

(-1)^n x²n / (2n!)

a-x

sin

a+x

tan

x-a

sec