MA11 Unidades 5 E 6

❯♥✐❞❛❞❡s ✺ ❡ ✻
❈♦♠♣❧❡t❡③❛ ❡ r❡♣r❡s❡♥t❛çã♦
❞♦s ◆ú♠❡r♦s ❘❡❛✐s
❙✉♠ár✐♦
✺✳✶

■♥tr♦❞✉çã♦

✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✺✳✷

❆ ❉❡s❝r✐çã♦ ❋♦r♠❛❧ ❞♦s ❘❡❛✐s

✺✳✸

❘❡♣r❡s❡♥t❛çã♦ ❉❡❝✐♠❛❧

✷

✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✸

✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✹

✺✳✹

❘❡♣r❡s❡♥t❛çã♦ ❉❡❝✐♠❛❧ ❞♦s ❘❛❝✐♦♥❛✐s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✻

✺✳✺

❖s ◆ú♠❡r♦s ❘❡❛✐s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✶✸

✺✳✻

❊①❡r❝í❝✐♦s ❘❡❝♦♠❡♥❞❛❞♦s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✶✺

✺✳✼

❊①❡r❝í❝✐♦s ❙✉♣❧❡♠❡♥t❛r❡s

✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✶✻

✺✳✽

❚❡①t♦s ❈♦♠♣❧❡♠❡♥t❛r❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳

✷✵

✶

✉♥✐❞❛❞❡s ✺ ❡ ✻

■♥tr♦❞✉çã♦
✺✳✶

■♥tr♦❞✉çã♦

◆❛ ✉♥✐❞❛❞❡ ❛♥t❡r✐♦r✱ ❞✐s❝✉t✐♠♦s ❛ ♥♦çã♦ ❞❡ ❝♦♠❡♥s✉r❛❜✐❧✐❞❛❞❡ ♥❛ ▼❛t❡✲
♠át✐❝❛ ❣r❡❣❛ ❡ s✉❛ r❡❧❛çã♦ ❝♦♠ ❛ ❡①✐stê♥❝✐❛ ❞❡ ♥ú♠❡r♦s ✐rr❛❝✐♦♥❛✐s✱ q✉❡ ♥♦s
❝♦♥❞✉③✐r❛♠ ❛♦ ♠♦❞❡❧♦ ❞♦s ♥ú♠❡r♦s r❡❛✐s ❝♦♠♦ ♣♦♥t♦s ❞❡ ✉♠❛ r❡t❛ ♦r✐❡♥t❛❞❛✱
❡♠ q✉❡ s❡ ❞❡st❛❝❛♠ ❞♦✐s ❞❡❧❡s ♣❛r❛ r❡♣r❡s❡♥t❛r ❛ ✉♥✐❞❛❞❡ ❞❡ ♠❡❞✐❞❛✳ ❆♣❡s❛r
❞❡ s✉❛ s✐♠♣❧✐❝✐❞❛❞❡✱ ❡❧❡❣â♥❝✐❛ ❡ ❞❡ s❡✉ ❣r❛♥❞❡ ❛♣❡❧♦ ❣❡♦♠étr✐❝♦✱ ❡st❡ ♠♦❞❡❧♦
♣❛r❛ ♦s ♥ú♠❡r♦s r❡❛✐s ♥ã♦ ♣❡r♠✐t✐❛ ✐r tã♦ ❧♦♥❣❡ q✉❛♥t♦ ❛ ▼❛t❡♠át✐❝❛ ❞♦ ❙é❝✉❧♦
❳■❳ ❡①✐❣✐❛ ♣❛r❛ ♦ s❡✉ ❞❡s❡♥✈♦❧✈✐♠❡♥t♦✳ P♦r ✜♠✱ ♦s ♠❛t❡♠át✐❝♦s ❞♦ ✜♥❛❧ ❞❛✲ q✉❡❧❡ sé❝✉❧♦ ♥✉♠❛ ♠✐♥✉❝✐♦s❛ r❡✈✐sã♦ ❞♦s ❢✉♥❞❛♠❡♥t♦s ❞❛ ▼❛t❡♠át✐❝❛ ♥♦s ♣r♦✲
♣♦r❝✐♦♥❛r❛♠ ✉♠ ♠♦❞❡❧♦ ❛❧❣é❜r✐❝♦✲❛♥❛❧ít✐❝♦ ♣❛r❛ ♦s ♥ú♠❡r♦s r❡❛✐s ❞❡ ❡①tr❡♠❛
❡✜❝✐ê♥❝✐❛✱ ♣❡r♠✐t✐♥❞♦ ♦ ❡①tr❛♦r❞✐♥ár✐♦ ❛✈❛♥ç♦ ❞❡st❛ ❝✐ê♥❝✐❛ q✉❡ s❡ s✉❝❡❞❡✉✳
◆❛ ♠❛t❡♠át✐❝❛ ❝♦♥t❡♠♣♦râ♥❡❛✱ ❡①✐st❡♠ ❞✉❛s ❝♦♥str✉çõ❡s ♣r✐♥❝✐♣❛✐s ❡q✉✐✈❛✲
❧❡♥t❡s ♣❛r❛ ♦ ❝♦♥❥✉♥t♦ ❞♦s ♥ú♠❡r♦s r❡❛✐s✱ ✉♠❛ ❛tr❛✈és ❞❛s s❡q✉ê♥❝✐❛s ❞❡ ❈❛✉❝❤②✱
❞❡✈✐❞❛ ❛ ❈❛♥t♦r ❬✼❪ ❡ ❛ ♦✉tr❛ ❛tr❛✈és ❞❛ ♥♦çã♦ ❞❡ ❝♦rt❡ ♥♦s r❛❝✐♦♥❛✐s✱ ❞❡✈✐❞❛
❛ ❉❡❞❡❦✐♥❞ ❬✸❪✳ ❊♥tr❡t❛♥t♦✱ ♥ã♦ ❛❞♦t❛r❡♠♦s ❛q✉✐ ❡st❛ ❛❜♦r❞❛❣❡♠ ❝♦♥str✉t✐✈❛
♣♦✐s ♥♦s ❛❢❛st❛r✐❛ ❞♦s ♥♦ss♦s ♦❜❥❡t✐✈♦s✱ t♦r♥❛♥❞♦ ♦ ♥♦ss♦ ❝❛♠✐♥❤♦ ♠✉✐t♦ ❧♦♥❣♦✳
❆♦ ❝♦♥trár✐♦✱ ❛❞♦t❛r❡♠♦s ✉♠❛ ❛❜♦r❞❛❣❡♠ ❛①✐♦♠át✐❝❛✱ r❡❧❛t✐✈❛♠❡♥t❡ s✐♠♣❧❡s✳
❖s ♥♦ss♦s ❛①✐♦♠❛s ❡stã♦ t♦❞♦s ❝♦♥t✐❞♦s ♥❛ s❡❣✉✐♥t❡ ❢r❛s❡✿

❖s ♥ú♠❡r♦s r❡❛✐s ❢♦r♠❛♠ ✉♠ ❝♦r♣♦ ♦r❞❡♥❛❞♦ ❝♦♠♣❧❡t♦✳
❖ t❡r♠♦

❝♦r♣♦ r❡❢❡r❡✲s❡ à ❡str✉t✉r❛ ❛❧❣é❜r✐❝❛