\begin{tabular}{|l|}\hline 2. Calcula el volumen \\ del sólido de \\ revolución que se \\ forma de girar sobre \\ el eje \( x \) la función \\ \( f(x)=x^{2}+x \) con \\ límites \( [-1,5] \)\end{tabular}

Determine the interval(s) on which the following function is continuous. \( f(x)=\frac{x^{2}-8 x+15}{x^{2}-9} \) The function is continuous on the interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to sepa

Find an equation of the line tangent to the given curve at \( \mathrm{x}=\mathrm{a} \). \[ y=4+6 x+11 x e^{x} ; a=0 \] The equation for the tangent line is \( y=\square \).

Suppose that \( f(x, y)=x^{4}+y^{4}-x y \). Then the minimum value of \( f(x, y) \) is.. A. -0.125 B. 0.125 C. 0 D. None of these answers

Find the intervals on which \( f \) is increasing and the intervals on which it is decreasing. \( f(x)=\frac{x^{4}}{4}-3 x^{3}+9 x^{2} \)

Given \( f(x, y)=3 x^{3}+x y^{2}-2 y^{6} \), find \( f_{y} \) \( 2 x-60 y \) \( 18 x \) \( 2 y \) None of these answers