limit definition - ANS f(x+h) - f(x) / h
parametric equations for ferris wheel - ANS x(t) = a * sin(t)
y(t) = a * -cos(t) + k
derivative of tan(x) - ANS sec2(x)
derivative of cot(x) - ANS -csc2(x)
derivative of sec(x) - ANS sec(x)tan(x)...
parametric equations for ferris wheel - ANS x(t) = a * sin(t)
y(t) = a * -cos(t) + k
derivative of tan(x) - ANS sec2(x)
derivative of cot(x) - ANS -csc2(x)
derivative of sec(x) - ANS sec(x)tan(x)
derivative of csc(x) - ANS -csc(x)cot(x)
derivative of a^x - ANS (a^x)*ln(a)*(da/dx)
derivative of ln(a) - ANS 1/a * (da/dx)
derivative of log a (u) - ANS 1/(u * ln(a) * (du/dx)
recursive arithmetic sequence - ANS a(n+1) = a(n) + d
explicit arithmetic sequence - ANS a(n) = a(1) + d(n-1)
recursive geometric sequence - ANS a(n+1) = a(n)*r
explicit geometric sequence - ANS a(n) = a(1) * r^(n-1)
arithmetic summation notation - ANS n
∑ a(k) = S(n)
k=1
geometric summation notation - ANS n (= number in sequence)
∑ a(n) = a(1) * ( 1 - r^n ) / (1-r)
n=1
infinite summation notation - ANS ∞
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