2 years ago

Can someone give me brainlyist plz

Mathematics

1 answer:

natali 33 [55]2 years ago

7 0

Answer:

You can give me brainliest if you want

Step-by-step explanation:

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Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------$

$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

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3 years ago

Pls help I need this asap

Valentin [98]

Answer:

75%

Step-by-step explanation:

4 0

3 years ago

Whats the answer giving brainliest>>>>

Elza [17]

Answer:

the answer is b

Step-by-step explanation:

brainliest pls

5 0

3 years ago

A rocket was launched and its height, h, in metres, above the ground after time,

Marianna [84]

Short answer b 7m

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3 years ago

What is four plus the number two basically mathematics

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

4+2 = 6

Hope this helps

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3 years ago