A angioplastia é um procedimento médico caracterizado pela inserção de um cateter em uma veia ou artéria com o enchimento de um pequeno balão esfér...

Question

A angioplastia é um procedimento médico caracterizado pela inserção de um cateter em uma veia ou artéria com o enchimento de um pequeno balão esférico localizado na ponta desse cateter. Considerando que, num procedimento de angioplastia, o raio inicial do balão seja desprezível e aumente a uma taxa constante de 0, mm/s até que o volume seja igual a 00 mm, então o tempo, em segundos, que o balão leva para atingir esse volume é
a) .
b) p10/5.
c) p10/2.
d) p10/3.
e) p10/3.

Ed · Answer

Vamos analisar as alternativas:

a) 10√2
b) π10/5
c) π10/2
d) π10/3
e) π10/3

Para encontrar o tempo que o balão leva para atingir o volume de 100 mm³, precisamos usar a fórmula do volume de uma esfera: V = (4/3)πr³, onde r é o raio da esfera.

Sabemos que o raio inicial é desprezível, então começamos com um raio de 0. O volume final é 100 mm³. A taxa de aumento do raio é de 0,1 mm/s.

Substituindo na fórmula do volume e considerando que o volume final é 100 mm³, podemos encontrar o tempo necessário.

Vamos calcular:

V = (4/3)πr³
100 = (4/3)π(0,1t)³
100 = (4/3)π(0,001t)³
100 = (4/3)π(0,000001t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
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100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100 = (4/3)π(10^-6t)
100

A angioplastia é um procedimento médico caracterizado pela inserção de um cateter em uma veia ou artéria com o enchimento de um pequeno balão esfér...

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