8. Justify Arguments The Lovin'Lemon Company sells a 4 -gallon jug of lemonade for \( \$ 24 \). The Sweel and Sour Company sells an eight-pack of 1 -quarn botrles of lemonade for \( \$ 16.00 \). Which company has a higher unit price? Explain your answer. (Hint: There are 4 quarts in 1 galion.)

Questions Do. Defme Critical Point. Determine the interval aver which \( f \) is i) increasing ii) decreasing \[ f(x)=\frac{2 x^{3}}{3}-5 x^{2}-\frac{1}{x}-3 \]

El dominio de la función \( f(x)=\sqrt{x-1} \)

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Evaluate the following Integrals 1. \( \int \sin ^{2} x \cos ^{5} x d x \quad(6 \) Marks) 2. \( \int \frac{d x}{\sqrt{-5-6 x-x^{2}}} \quad \) (7 Marks) 3. \( \int \frac{x^{2}+2}{(x+3)\left(x^{4}+2 x^{2}+1\right)} d x \quad \) (8Marks) 4. \( \int \frac{2 x^{3}+x^{2}-6 x+7}{x^{2}+x-6} d x \quad \) (7Marks)

\( f ( x ) = \frac { 1 } { x } \sin x \neq 0 \)