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DIA [1.3K]
1 year ago
15

The matrix below represents a system of equations.

Mathematics
1 answer:
UkoKoshka [18]1 year ago
7 0

Answer:A

Step-by-step explanation:

just took it

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Solve the following equation when x = 8<br> 15x - 2 =
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The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

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Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

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3 years ago
Help me!! study island
stich3 [128]

Answer:A

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algol13
(9/12) / (1/8) =
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