Consider the plane which passes through the three points: \( (-1,3,8),(1,1,7) \), and \( (1,2,9) \). Find the vector normal to this plane which has the form:

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. \( \theta=\llbracket \)

Add. \[ \frac{2}{x-5}+\frac{3}{x+4} \] Simplify your answer as much as possible.

Si la pendiente de la recta 1 es m 1 y de la recta 2 es m 2 y se cumple que \( \mathrm{m} 1= \) m 2 (sus pendientes son iguales), entonces: a. Las rectas son iguales b. Las rectas son perpendiculares c. Las rectas son paralelas d. Las rectas se cruzan

50 g calcium carbonate is heated to form calcium oxide and \( \mathrm{CO}_{2}(\mathrm{~g}) \) Calculate the percentage yield if 21 g facut Calciam axiae. is formed.

36.7 ta nonni 8 odamga teng bo'lib bering. Juda oson masal ekan ku, deyishingiz mumkin. Haqiqatdan ham, har bir nonr 8 bo'lakka bo'lib, har bir odamga 7 bo'lakdan bo'lib beri? masalani yechish mumkin. Biroq, hamma gap shund qadimgi Misrliklar nonni imkoni boricha kam bo'laklark bolib, bu masalani yechishgan. Siz ham bu yechimni topish urinib ko'ring!