Liercicio N' 2 Clasifiquen cada una de las sigulentes caracteristicas en "variable" o "atributo" a) Número de libros que presta la biblioteca de la escuela b) Color de cabello de los asistentes a una función de teatro d) Cantidad de hermanos de cada uno de los alumnos de una escuela. d) Marca de los autos fabricados en la Argentina en el año 2017 e) Estado civil de los socios de un club.

Determine the location and value of the absolute extreme values of \( f \) on the given interval, if they exist. \( f(x)=5 \cos ^{2} x \) on \( [0, \pi] \) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. Type an exact answer; using \( \pi \) as needed. Use a comma to separate answers as needed.) A. The absolute maximum is \( \square \) at \( x=\square \), but there is no absolute minimum. B. The absolute minimum is \( \square \) at \( x=\square \), but there is no absolute maximum. C. The absolute maximum is \( \square \) at \( x=\square \) and the absolute minimum is \( \square \) at \( x=\square \). D. There are no absolute extreme values for \( f(x) \) on \( [0, \pi] \).

\( \frac { 8 } { 3 } . \)

Tarea Gionficar las siguientes form- a. \( f(x)=\left(\frac{1}{3} y^{x}\right. \) b. \( f(x)=3^{x} \) c. \( f(x)=\log _{3} x \) d. \( f(x)=\log _{\frac{1}{3}} x \)

L Determine the location and value of the absolute extreme values of \( f \) on the given interval, if they exist. \( f(x)=x^{\frac{1}{3}}(x-4) \) on \( [-125,125] \) What is the absolute maximum value of \( f \) and its location on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum value is \( \square \) at \( x=\square \). (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute maximum of f on the given interval.

\( f ( x ) = \frac { 1 } { \sqrt[ 3 ] { x } } \quad f ^ { \prime } ( 8 ) = \frac { 1 } { 2 } = \)