Parcial A
Parcial B
Finales
Material
Pregunta 1
Area base = 72 \(\pi cm^2\) , Area total = 576 \(\pi cm^2\)
Area base = 72 \(\pi cm^2\) , Area total = 1008 \(\pi cm^2\)
Area base = 144 \(\pi cm^2\) , Area total = 1008 \(\pi cm^2\)
Area base = 144 \(\pi cm^2\) , Area total = 576 \(\pi cm^2\)
Pregunta 2
a) k ∈ \(\left ( -54 ; \frac {9} {4} \right ) \) , b) AV \(\rightarrow \) x = 8 , AH \(\rightarrow \) y = 8
a) k ∈ \(\left ( -54 ; \frac {9} {4} \right ) \) , b) AV \(\rightarrow \) x = 4 , AH \(\rightarrow \) y = 4
a) k ∈ \(\left ( -73 ; \frac {13} {4} \right ) \) , b) AV \(\rightarrow \) x = 4 , AH \(\rightarrow \) y = 4
a) k ∈ \(\left ( -73 ; \frac {13} {4} \right ) \) , b) AV \(\rightarrow \) x = 8 , AH \(\rightarrow \) y = 8
Pregunta 3
a = 2 , b = 1 , Im(g) = \(\left ( -\frac {1} {4} \pi ; \frac {1} {2} \pi \right ) \) , Im(f) = [\(-2; 2)] , A = {\(\frac {1} {4} \pi , \frac {3} {4} \pi\)}
a = 2 , b = 1 , Im(g) = \(\left ( -\frac {1} {2} \pi ; \frac {1} {2} \pi \right ) \) , Im(f) = [\(-\sqrt {2} ; \sqrt {2}\)] , A = {\(-\frac {1} {4} \pi , \frac {1} {4} \pi , \frac {3} {4} \pi\)}
a = \(\sqrt {2} \) , b = 1 , Im(g) = \(\left ( -\frac {1} {2} \pi ; \frac {1} {2} \pi \right ) \) , Im(f) = [\(-\sqrt {2} ; \sqrt {2}\)] , A = {\(-\frac {1} {4} \pi , \frac {1} {4} \pi , \frac {3} {4} \pi\)}
a = \(\sqrt {2} \) , b = 1 , Im(g) = \(\left ( -\frac {1} {2} \pi ; \frac {1} {2} \pi \right ) \) , Im(f) = [\(-\sqrt {2} ; \sqrt {2}\)] , A = {\(\frac {1} {4} \pi , \frac {3} {4} \pi\)}
Pregunta 4
a) 4cm , b) i) interseccion en (-2 , 3) ii) a = 0,863\(\frac {m} {s^2}\)
a) 4cm , b) i) interseccion en (-2 , 3) ii) a = 0,766\(\frac {m} {s^2}\)
a) 5cm , b) i) interseccion en (-2 , 4) ii) a = 0,863\(\frac {m} {s^2}\)
a) 5cm , b) i) interseccion en (-2 , 4) ii) a = 0,766\(\frac {m} {s^2}\)
Pregunta 5
a) \(\bar {a} \) =(12 , -3) , \(\bar {b} \) = (15 , 5) , b) \(\overrightarrow{F_{2}} = \left ( \sqrt {6100} N , 129°.80 \right ) \) , \(\overrightarrow{R} = \left ( \sqrt {16400} N , 51°.34 \right ) \)
a) \(\bar {a} \) =(6 , -5) , \(\bar {b} \) = (18 , 4) , b) \(\overrightarrow{F_{2}} = \left ( \sqrt {6100} N , 129°.80 \right ) \) , \(\overrightarrow{R} = \left ( \sqrt {16400} N , 51°.34 \right ) \)
a) \(\bar {a} \) =(12 , -3) , \(\bar {b} \) = (15 , 5) , b) \(\overrightarrow{F_{2}} = \left ( \sqrt {4210} N , 154°.82 \right ) \) , \(\overrightarrow{R} = \left ( \sqrt {9726} N , 73°.55 \right ) \)
a) \(\bar {a} \) =(6 , -5) , \(\bar {b} \) = (18 , 4) , b) \(\overrightarrow{F_{2}} = \left ( \sqrt {4210} N , 154°.82 \right ) \) , \(\overrightarrow{R} = \left ( \sqrt {9726} N , 73°.55 \right ) \)