Hallar la ecuación de la parábola con vértice en el origen y foco en \( (3,0) \) a. \( Y^{2}=21 X+5 \) b. \( Y^{2}=12 X \) c. \( Y=\sqrt{ } 4 X \)

a) \( 12 / 18 \) al simpliticar por obtiene b) \( 15 / 20 \) al simplificar por obtiene c) \( 6 / 14 \) al simplificar por

Find all solutions of the equation in the interval \( [0,2 \pi) \) \[ \cot ^{2} x+2 \csc x=-1 \] Write your answer in radians in terms of \( \pi \). If there is more than one solution, separate them with commas.

Find all solutions of the equation in the interval \( [0,2 \pi) \). \[ \csc ^{2} \theta+\cot \theta=1 \] Write your answer in radians in terms of \( \pi \). If there is more than one solution, separate them with commas. \( \theta=\llbracket \)

(b) Expand the brackets and simplify. \( 3(2 x-1)-4(x-5) \)

c) \( \left(\frac{z+1}{z-1}\right)^{n}+\left(\frac{z-1}{z+1}\right)^{n}=1 \quad\left(n \in \mathbb{N}^{*}\right) \)