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finnk
@finnk
July 2022
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найти
система: x=3cost
y=4sin^2 t
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mikael2
X=3cost cost=x/3 cos²t=x²/9 4cos²t=4x²/9
4sin²t=y
4(sin²t+cos²t)=4=4x²/9+y
4/9*x²+y-4=0
y=4-4/9x²
(2-2/9х)(2+2/9х) корни 9 и -9
задавая х получим у то есть беск. мн-во решений.
0 votes
Thanks 1
finnk
Спасибо,очень помогли.
finnk
Можете еще пару примеров решить?(
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Answers & Comments
4sin²t=y
4(sin²t+cos²t)=4=4x²/9+y
4/9*x²+y-4=0 y=4-4/9x² (2-2/9х)(2+2/9х) корни 9 и -9
задавая х получим у то есть беск. мн-во решений.