Respuesta :

[tex]\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array} \\\\ -------------------------------\\\\[/tex]

[tex]\bf h(t)=cot(t)\qquad \begin{cases} t_1=\frac{3\pi }{2}\\ t_2=\frac{\pi }{6} \end{cases}\implies \cfrac{h\left( \frac{\pi }{6} \right)-h\left( \frac{3\pi }{2} \right)}{\frac{\pi }{6}-\frac{3\pi }{2}} \\\\\\ \cfrac{cot\left( \frac{\pi }{6} \right)-cot\left( \frac{3\pi }{2} \right)}{\frac{\pi }{6}-\frac{3\pi }{2}}\implies \cfrac{\sqrt{3}-0}{\frac{5\pi }{3}}\implies \cfrac{3\sqrt{3}}{5\pi }[/tex]

Otras preguntas