Consider the function \( g(x)=(x-4)^{\frac{2}{3}} \). a. Find the critical points of \( g(x) \). (Enter as a comma-separated list, or enter DNE for "does not exist" if there are none.) b. Find the absolute extrema of \( g \) on the interval [0,11]. Enter only the function values. The absolute maximum is: The absolute minimum is: 0

[6.4] En los ejercicios 61-70 resuelve cada ecuación. \( \begin{array}{llll}\text { 61. } \frac{3}{4}=\frac{12}{x} & \text { 62. } \frac{x}{1.5}=\frac{x-4}{4.5} & \text { 63. } \frac{3 x+4}{5}=\frac{2 x-8}{3} & \text { 64. } \frac{x}{4.8}+\frac{x}{2}=1.7 \\ \text { 65. } \frac{2}{y}+\frac{1}{5}=\frac{3}{y} & \text { 66. } \frac{2}{x+4}-\frac{3}{x-4}=\frac{-11}{x^{2}-16} & \text { 67. } \frac{x}{x^{2}-9}+\frac{2}{x+3}=\frac{4}{x-3} \\ \text { 68. } \frac{7}{x^{2}-5}+\frac{3}{x+5}=\frac{4}{x-5} & \text { 69. } \frac{x-3}{x-2}+\frac{x+1}{x+3}=\frac{2 x^{2}+x+1}{x^{2}+x-6} & \text { 70. } \frac{x+1}{x+3}+\frac{x+2}{x-4}=\frac{2 x^{2}-18}{x^{2}-x-12}\end{array} \)

1. If \( \vec{A}=2 \vec{\imath}+3 \vec{\jmath}, \vec{B}=3 \vec{\imath}-\vec{\jmath} \), then \( \|\overrightarrow{2 \mathrm{~A}}-\overrightarrow{\mathrm{B}}\|=\ldots \) 2. If \( \vec{A}=(-2,1), \vec{C}=(-3, k) \) are parallel, then the value of \( \mathrm{k}=\ldots \) 3. If \( \vec{A} \perp \vec{B}, \vec{A}=(3,4), \vec{B}=(4, m) \), then \( m=\cdots \). 4. If \( \vec{A}=(2,3), \vec{B}=(-1,2) \), then \( \overrightarrow{A B}=\cdots \) 5. If \( \vec{A}=\left(10,45^{\circ}\right) \), write \( \vec{A} \) in term of fundamental unit vectors. 6. If \( \vec{A}=(4,4 \sqrt{3}) \) find in polar form the position vector of the point A respect to the origin point. 7. If \( \|-8 \overrightarrow{\mathrm{~A}}\|=5\|k \overrightarrow{\mathrm{~A}}\|=\ldots \ldots \), then find the value of k

ermine the vilue (s) of \( x \) andy if \( y=\frac{10-x}{2 l} \)

In which of the following scenarios would qualified immunity attach? Prosecutor Carl interviewed the witness with the intention of securing evidence that would be used in the presentation of the state's case of an already identified suspect. Prosecutor Karina erroneously brought full charges against the suspect, only to learn later that there were many inconsistencies with the evidence. Prosecutor Yvette was acting as an advocate when she coerced the witness to testify falsely. Prosecutor Dan was acting as an investigator in the crime when he made a reasonable mistake.

A Su un treno sono presenti 122 passeggeri nella prima carrozza e 56 nella seconda. Quanti passeggeri in tutto? Se alla prima fermati scendono 45 passeggeri, quanti ne restano sul treno?