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3 years ago

I have nothing to say about this because the question is in the picture

Mathematics

1 answer:

anyanavicka [17]3 years ago

6 0

Answer:

relation between X and Y is just nothing both are same

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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)

5 0

3 years ago

What is the value of x? Round to the nearest tenth(1 decimal place)

liraira [26]

Answer:

x ≈ 15.0 ft

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Trigonometry

tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

Step 2: Find x

Substitute: tan28° = 8/x
Multiply x on both sides: xtan28° = 8
Divide tan28° on both sides: x = 8/tan28°
Evaluate: x = 15.0458
Round: x ≈ 15.0 ft

6 0

3 years ago

Solve x to the power of 2 = 4 where x is a real number. Please help fast

zimovet [89]

Answer:

It's 2

Step-by-step explanation:

X is 2 because if you multiply two by two you get 4

7 0

3 years ago

Help me please. What is (2a+8) + (4a +5)

Rom4ik [11]

Answer:

6a + 13

Step-by-step explanation:

2a + 4a = 6a

8 + 5 = 13

6a + 13

8 0

2 years ago

Read 2 more answers

If one kg. of potatoes costs $4.99, what would 1.8 kg cost?

lina2011 [118]

You can use the proportion.
$4.99 / 1 kg = x / 1.8 kg
x = ($4.99 * 1.8 kg) / 1 kg
x = $8.98

Therefore, in 1.8 kg of potatoes, it costs at $8.98
☺️✌️

3 0

3 years ago