For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing, c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. \( g(x)=x^{3}-9 x^{2}+15 x+8 \)

One of the factors of \( 4 x^{3}-10 x^{2}+2 x-5 \) is \( 2 x-5 \), Find the other factor.

CGPA Calculator A student's cumulative grade point average (CGPA) can be determind using the Ct program GCGPA Calculator. The user's input is used to compute the GGPA, which includes information like the number of courses taken ond the grades carncel in cach one. The program also shomi each students overall course grade. CGPAt Calculalor calculates a student's comulative grade point average (CGPA) from the given sxam results. The pregrom can show the induidnal grades of each course calculate toial credits hours and total grade points achiexed, delermine the GPA for the semester. and based on all the data, it can generate and present the CGPA of the student.

2. Representar en la recta numérica cada par de fraccio- nes. Luego identificar cuáles son pares de fracciones equivaientes. \( \begin{array}{lll}\text { a. } \frac{1}{4} y \frac{1}{6} & \text { d. } \frac{2}{3} \text { y } \frac{20}{30} & \text { g. } \frac{9}{4} \text { y } \frac{27}{12} \\ \text { b. } \frac{3}{8} y \frac{6}{16} & \text { e. } \frac{4}{3} y \frac{3}{4} & \text { h. } \frac{6}{5} \text { y } \frac{18}{15} \\ \text { c. } \frac{5}{8} y \frac{4}{3} & \text { f. } \frac{9}{5} y \frac{9}{4} & \text { i. } \frac{12}{5} \text { y } \frac{60}{25}\end{array} \)

If \( y=x e^{x y} \), then \( \frac{d y}{d x}=\ldots \ldots \)

\( \overline { r - 1 } = \frac { 1 } { \overline { 1 - \omega r } } = ( س ) \)