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SSSSS [86.1K]
3 years ago
14

What is the ratio 3:11

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0
Three to 11 or 3/11. Is the andwers i can think of
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Assume x=x(t) and y=y(t). Find dx/dt if x^2(y-6) = 12y + 3 and dy/dt = 2 when x = 5 and y = 12
777dan777 [17]
x^2(y-6)=12y+3

Differentiate:

2x\dfrac{\mathrm dx}{\mathrm dt}(y-6)+x^2\dfrac{\mathrm dy}{\mathrm dt}=12\dfrac{\mathrm dy}{\mathrm dt}

Plug in everything you know: \dfrac{\mathrm dy}{\mathrm dt}=2, x=5, and y=12

2(5)\dfrac{\mathrm dx}{\mathrm dt}(12-6)+5^2(2)=12(2)\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{13}{30}
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Answer:

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The volume of the cone is 16.4 cubic feet.
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