Which of the following is/are guidelines for solving optimization problems: Write a primary equation for the quantity that is to be maximized or minimized Draw a picture if possible Write a secondary equation that reduces the primary equation to that of one variable All of these revious

Questão 10 . Com base nos sinais das funções em cada quadrante verifique qual alternativa abaixo representa a alternativa verdadeira: A) \( \operatorname{sen} 150^{\circ}<0 \) B) \( \cos 210^{\circ}>0 \) C) \( \operatorname{sen} 250^{\circ}<0 \) D) \( \cos 80^{\circ}<0 \) E) \( \operatorname{sen} 290^{\circ}>0 \)

lestion 9: a) You are given an unknow material with the format \( \mathrm{A}_{1} \mathrm{~B}_{1} \mathrm{C}_{4} \). \( \mathrm{A}, \mathrm{B} \) and C represents a single element each. The precent composition of 2 elements are as follows: \( \mathrm{A}=24.72 \% \) \( \mathrm{~B}=34.77 \% \) i) What is the percentage composition of the final element? (1 mark) ii) You find that the molecular mass of A and B together is 94.04 amu. What is the molar mass of the compound? (3 marks) iii) What is the identity of element C ? (1 mark) b) A compound contains copper, nitrogen and oxygen. The compound contains 33.88\% copper and \( 14.94 \% \) nitrogen. i) What is the empirical formula? ii) Given what you have calculated, do you think the empirical and molecular formula would be the same? Explain. (2 marks)

c. \( \mathrm{S}=\mathrm{K} * \mathrm{~T}+\frac{A * T^{2}}{2} \)

If \( \sin \alpha=0.034 \) and \( \cos \beta=0.579 \) with both angles' terminal rays in Quadrant-I, find the values of (a) \( \cos (\alpha+\beta)=\square \) (b) \( \cos (\alpha-\beta)=\square \)

6. Se quiere repoblar con 6000 árboles una zona boscosa que sufrió un incendio forestal, si se sabe todos los árboles, ¿cuántas horas hacen falta pará plantarlos si colaboran 60 voluntarios? a. Haz una tabla de valores que relacione el nú- mero de personas con el tiempo que tardan en plantar los árboles. b. Escribe la expresión que representa los datos de la tabla anterior. c. Dibuja la gráfica de la función.