Parcial A
Parcial B
Finales
Material
Pregunta 1
\(h\cong 12,87m\)
\(h\cong 22,11m\)
\(h\cong 36,69m\)
\(h\cong -56,69m\)
Pregunta 2
\(a)D\cong 170,13km ,b)D_{f}=\left ( -\infty ;169 \right ),f^{-1}=169-6^{x}\)
\(a)D\cong 125,13km ,b)D_{f}=\left ( -\infty ;169 \right ),f^{-1}=169-6x\)
\(a)D\cong 125,13km ,b)D_{f}=\left ( -\infty ;169 \right ),f^{-1}=169-6x\)
\(a)D\cong 170,13km ,b)D_{f}=\left ( -\infty ;-169 \right ),f^{-1}=169-6^{x}\)
Pregunta 3
\(a)\alpha =\frac{\pi }{3},b)y_{MAX}=500m,c)x_{MAX}=2000\sqrt{3}\)
\(a)\alpha =\frac{\pi }{6},b)y_{MAX}=500m,c)x_{MAX}=1000\sqrt{3}\)
\(a)\alpha =\frac{\pi }{6},b)y_{MAX}=500m,c)x_{MAX}=1000\sqrt{3}\)
\(a)\alpha =\frac{\pi }{3},b)y_{MAX}=500m,c)x_{MAX}=2000\sqrt{3}\)
Pregunta 4
\(a)\alpha =43^{\circ}{1}'{13}'',b)S=\left \{ \frac{\pi }{2} ,\frac{7\pi }{6},\frac{11\pi }{6}\right \}\)
\(a)\alpha =43^{\circ}{1}'{13}'',b)S=\left \{ \frac{\pi }{2} ,\frac{11\pi }{6}\right \}\)
\(a)\alpha =23^{\circ}{1}'{13}'',b)S=\left \{ \frac{\pi }{2} ,\frac{11\pi }{6}\right \}\)
\(a)\alpha =23^{\circ}{1}'{13}'',b)S=\left \{ \frac{\pi }{3} ,\frac{7\pi }{6},\frac{11\pi }{6}\right \}\)
Pregunta 5
\(a)\bar{proy_{b}}\bar{a}=\left ( \frac{1}{5},-\frac{2}{5} \right ),\bar{proy_{a}}\bar{b}=\left ( \frac{3}{5},\frac{1}{5} \right ),b)F_{1}=\left ( 0,50 \right )N\)
\(a)\bar{proy_{b}}\bar{a}=\left ( \frac{1}{5},-\frac{2}{5} \right ),\bar{proy_{a}}\bar{b}=\left ( \frac{3}{5},-\frac{1}{5} \right ),b)F_{1}=\left ( 200,50 \right )N\)
\(a)\bar{proy_{b}}\bar{a}=\left ( \frac{1}{5},-\frac{2}{5} \right ),\bar{proy_{a}}\bar{b}=\left ( -\frac{3}{5},\frac{1}{5} \right ),b)F_{1}=\left ( 50,200 \right )N\)
\(a)\bar{proy_{b}}\bar{a}=\left ( \frac{1}{5},-\frac{2}{5} \right ),\bar{proy_{a}}\bar{b}=\left ( \frac{3}{5},\frac{1}{5} \right ),b)F_{1}=\left ( 200,50 \right )N\)