Recent questions in High school geometry

veleumnihryz
2022-05-03
Answered

$f(z)={\displaystyle \frac{z(z-a)}{(z-b)(z-c)(z-d)}}$

be a complex rational function and let $S=\{z\in \mathbb{C}:|z|=1\}$ be the unit circle.

My question:

For which (non-zero complex numbers) $a,b,c$ and $d$ there exist an arc $C$ of $S$ such that $f(C)\subseteq S$ ?

Bronson Olson
2022-05-03
Answered

$z=\frac{ab+c}{a+b+c},$

where $a,b,c$ are natural numbers and are all lesser than 2010 and not necessarily distinct from each other. Please provide a proof, and if possible a general technique. Thank you.

ngihlungeqtr
2022-05-03
Answered

maximize ${x}^{a}+{y}^{b}$ subject to ${p}_{1}x+{p}_{2}y=w$ (utility maximization problem)

Anyone has any idea, there are no restrictions on $a$ and $b$, as far as i can see it. many thanks!!!

gaitaprepeted05u
2022-05-01
Answered

Essence Byrd
2022-05-01
Answered

How would I go about proving something like this so that the method would work to prove a maximization point of other random variables like say Binomial is max at $k=(n+1)\star p$?

nrgiizr0ib6
2022-04-30
Answered

kabutjv7
2022-04-30
Answered

komanijuuxw
2022-04-29
Answered

know that

(a) Find

(b) Find

Bruce Rosario
2022-04-22
Answered

parabola?

Yaritza Robinson
2022-04-21
Answered

x, y, z subject to

It will include more complex tasks to solve like congruence equation solving, which also becomes easier when you have a good example like what we provide.