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New posts in algebra-precalculus
How to solve $z^2-(1-3i)z-2i-2=0$
algebra-precalculus
complex-numbers
quadratics
What happens to a function when it is undefined?
algebra-precalculus
functions
Coupon collector's problem revisited (brute force calculation)
probability
combinatorics
algebra-precalculus
expected-value
coupon-collector
Suppose $ x+y+z=0 $. Show that $ \frac{x^5+y^5+z^5}{5}=\frac{x^2+y^2+z^2}{2}\times\frac{x^3+y^3+z^3}{3} $. [duplicate]
algebra-precalculus
symmetric-polynomials
A sequence of quadratic equations
algebra-precalculus
quadratics
Is there a general product formula for $\sum\limits_{k=1}^{n} k^p$ [duplicate]
sequences-and-series
algebra-precalculus
summation
The limit as $n$ approaches infinity of $n(a^{1/n}-1)$
calculus
algebra-precalculus
limits
use the fact that $\tan 2x=\sin2x \ /\cos2x$ to prove that $\tan 2x=2\tan x/(1-\tan^2x)$
algebra-precalculus
Proof of a summation of $k^4$
algebra-precalculus
summation
proof-writing
How do I solve operations involving fractional surds? [duplicate]
algebra-precalculus
Find $n$ satisfying the equation $[\log_21]+[\log_22]+[\log_23]+\dots[\log_2n]=1538 $
algebra-precalculus
logarithms
How do I simplify $\sqrt{3}(\cot 70^\circ + 4 \cos 70^\circ )$? [duplicate]
algebra-precalculus
trigonometry
An easy way to remember PEMDAS
algebra-precalculus
notation
How to "Re-write completing the square": $x^2+x+1$
algebra-precalculus
polynomials
quadratics
completing-the-square
Find the range of values for $a+b$ when $y=-\frac{1}{8}x^2+ax+b$ is tangent to the $x-$axis.
algebra-precalculus
Proving $\sqrt{ab} = \sqrt a\sqrt b$
algebra-precalculus
Small-angle approximation of $ \frac{\sin^2 x}{x^2 \sqrt{1-\frac{\sin^2 x}{3}}} $
algebra-precalculus
limits
Find all pairs (x, y) of real numbers such that $16^{x^2+y} + 16^{x+y^2}=1$
algebra-precalculus
How to prove that $x_n = nq^n$ for $|q| < 1$ is bounded?
sequences-and-series
algebra-precalculus
upper-lower-bounds
Subadditivity inequality and power functions [duplicate]
calculus
algebra-precalculus
inequality
exponentiation
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