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

1 answer:

6 0

$x^2(y-6)=12y+3$

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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How do you simplify without using a calculator (-5)(7)+4×5

Evgesh-ka [11]

Answer:

-15 Is the answer

Step-by-step explanation:

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= -15

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1 year ago

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malfutka [58]

Answer:

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