Ex_Calculo_2_aulas_3_4_data

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Centro Federal de Educação Tecnológica de Minas Gerais - CEFET MG
Departamento de Formação Geral - DFGTM
❉✐s❝✐♣❧✐♥❛✿ ❈á❧❝✉❧♦ ■■ ✭❊♥s✐♥♦ ❘❡♠♦t♦ ❊♠❡r❣❡♥❝✐❛❧ ✲ ❊❘❊✮
❚✉r♠❛✿ ❊♥❣❡♥❤❛r✐❛ ❞❡ ❈♦♠♣✉t❛çã♦
Pr♦❢✳✿ ❏♦sé ❏♦③❡❧♠♦ ●✳ ❱✐❡✐r❛
❉❛t❛ ❞❛ ❡♥tr❡❣❛✿ ✶✺✴✵✶
▲✐st❛ ❞❡ ❊①❡r❝í❝✐♦s✿ ❆✉❧❛s ✵✸ ❡ ✵✹
❘❡❢❡rê♥❝✐❛s✿
❼ ❙❚❊❲❆❘❚✱ ❏✳ ❈á❧❝✉❧♦✱ ✼➟ ❡❞✳✱ ✈♦❧✳ ✷✳ P✐♦♥❡✐r❛ ❚❤♦♠s♦♥ ▲❡❛r♥✐♥❣✱ ❙ã♦ P❛✉❧♦✱ ✷✵✶✵✳
❼ ❚❍❖▼❆❙✱ ●✳ ❇✳ ❈á❧❝✉❧♦✱ ✶✷➟ ❡❞✳✱ ✈♦❧✳ ✷✳ P❡❛rs♦♥ ❊❞✉❝❛t✐♦♥ ❞♦ ❇r❛s✐❧✱ ❙ã♦ P❛✉❧♦✱ ✷✵✶✷✳
◗✉❡stã♦ ✶✳ ❉❡s❡♥❤❡ ❝❛❞❛ ✉♠❛ ❞❛s s✉♣❡r❢í❝✐❡s q✉á❞r✐❝❛s ❛❜❛✐①♦✳ ❯s❡ ✐♥t❡rs❡çõ❡s ❝♦♠ ♦s ♣❧❛♥♦s ❝♦♦r❞❡✲
♥❛❞♦s ♦✉ q✉❛❧q✉❡r ♦✉tr♦ ♣❧❛♥♦ q✉❡ ❥✉❧❣❛r ♥❡❝❡ssár✐♦✳ ◆♦ ❞❡s❡♥❤♦ ✐❞❡♥t✐✜q✉❡ ❛s ❝✉r✈❛s ❞❡ ✐♥t❡rs❡çã♦ ❝♦♠
♦s ♣❧❛♥♦s ❡s❝♦❧❤✐❞♦s ❡ ♦ t✐♣♦ ❞❡ q✉á❞r✐❝❛ ✭♦✉ ❝✐❧✐♥❞r♦✮✳
✭❛✮ 4x2 + 9z2 = 9y 2
✭❜✮ z = 8− x
2
− y
2
✭❝✮ 4x2 + 9y 2 + 4z2 = 36
✭❞✮ z = y
2
− 1
✭❡✮ y
2
4
−
x
2
4
− z
2 = 1
✭❢✮ x
2
− y
2 = z