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tankabanditka [31]
3 years ago
8

PLS HELP ITS URGENT

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0
Answer in the attachment:

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Use Lagrange multipliers to find the maximum and minimum values of
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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4 years ago
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igomit [66]

Answer:a

Step-by-step explanation:The temperature rose by 80 so up the number line and dropped 20 so down the number line to 60

4 0
3 years ago
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Someone please give me the simplified answer !
Nataly [62]

Answer:

11m-3v

Step-by-step explanation:

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5\2,3 and 3\2,8 find the distance​
pochemuha

Answer:

√26 ≈ 5.1 units

Step-by-step explanation:

√(x₂ - x₁)² + (y₂ - y₁)²

√(3/2 - 5/2)² + (8 - 3)²

√(-1)² + (5)²

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Jocelyn's foot is 17 centimeters long. If she puts the heel of one foot next to the toes of her other foot, how long will both o
liraira [26]

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34 centimeters

Step-by-step explanation:

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3 years ago
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