C

1103054907

Parte: 
C
La imagen representa un deltoide. Calcula las medidas de los ángulos interiores \( \alpha \), \( \beta \), \( \gamma \) y \( \delta \).
\( \alpha = 124^{\circ} \), \( \beta = 108^{\circ} \), \( \gamma = 20^{\circ} \), \( \delta = 108^{\circ} \)
\( \alpha = 124^{\circ} \), \( \beta = 108^{\circ} \), \( \gamma = 124^{\circ} \), \( \delta = 108^{\circ} \)
\( \alpha = 124^{\circ} \), \( \beta = 72^{\circ} \), \( \gamma = 20^{\circ} \), \( \delta = 72^{\circ} \)
\( \alpha = 124^{\circ} \), \( \beta = 108^{\circ} \), \( \gamma = 72^{\circ} \), \( \delta = 83^{\circ} \)

1003027503

Parte: 
C
Evalúa la siguiente integral definida. \[ \int\limits_{\mathrm{e}}^{12}\frac{x+5}{\frac14 x\cdot(x+4)}\mathrm{d}x \]
\(\ln(\mathrm{e}+4)+5\ln12-2\ln⁡4-5 \)
\( 5+2\ln 4+5\ln12-\ln⁡(\mathrm{e}+4) \)
\( \ln\frac{15}4-5+\ln⁡(4+\mathrm{e}) \)
\( \frac{ \ln \frac{12^5}{16} }{ \ln \frac{\mathrm{e}^5}{\mathrm{e}+4}} \)

1003027501

Parte: 
C
Evalúa la siguiente integral definida. \[ \int_{\mathrm{e}}^{\mathrm{e}^3}\frac{10x-14}{x\cdot(x-2)}\mathrm{d}x \]
\( 3\ln\frac{\mathrm{e}^3-2}{\mathrm{e}-2}+14 \)
\( 3\ln⁡\left[\left(\mathrm{e}^3-2\right)\left(\mathrm{e}-2\right)\right]+14 \)
\( \ln\frac{\mathrm{e}^3-2}{\mathrm{e}-2}+14 \)
\( 3\ln\left(\mathrm{e}^3-2\right)+\ln(\mathrm{e}-2)^3+14 \)