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3 years ago

K/8=11 Find the value of K

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

8 0

Answer:

k = 88

Step-by-step explanation:

Given

$\frac{k}{8}$ = 11 ( multiply both sides by 8 to clear the fraction )

k = 88

____ [38]3 years ago

4 0

Answer:

k=88

Step-by-step explanation:

as 8*11=88

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marusya05 [52]

The Lagrangian is

$L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)$

It has critical points where the first order derivatives vanish:

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

$L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y$

$L_\lambda=x^2+y^2-4=0$

From the first two equations we get

$-\dfrac1{2x}=-\dfrac4y\implies y=8x$

Then

$x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}$

At these critical points, we have

$f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125$ (maximum)

$f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125$ (minimum)

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3 years ago

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Crazy boy [7]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3241004551 [841]

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