2x-8=6 do addition or subtraction first. then rewrite the new equation and solve.

Using the method of Lagrange multipliers: the Lagrangian is

[tex]L(x,y,z,\lambda) = (x-4)^2+(y-5)^2+(z-6)^2 - \lambda (z-4x^2-4y^2)[/tex]

Fix λ > 0.

That is, we are minimizing the squared distance of a point (x, y, z) on the paraboloid to the point (4, 5, 6). We can use the squared distance in place of the proper Euclidean distance because both f(x) and √f(x) have critical points at the same point x ; plus the math works out much more easily.

Find the critical points of the Lagrangian:

[tex]\dfrac{\partial L}{\partial x} = 2(x-4) + 8\lambda x = 0 \\\\ \dfrac{\partial L}{\partial y} = 2(y-5) + 8\lambda y = 0 \\\\ \dfrac{\partial L}{\partial z} = 2(z-6) - \lambda = 0 \\\\ \dfrac{\partial L}{\partial\lambda} = -z+4x^2+4y^2 = 0[/tex]

Solving for λ in terms of x, y, or z gives

[tex]\displaystyle \lambda = \frac1x-\frac14 = \frac5{4y} - \frac14 = 2z-12[/tex]

so right away, we get

[tex]\dfrac5{4y} - \dfrac14 = \dfrac1x - \dfrac14 \implies y=\dfrac{5x}4 \\\\ 2z-12 = \dfrac1x-\dfrac14 \implies z = \dfrac1{2x} + \dfrac{47}8[/tex]

Substitute these into the constraint and solve for x, then for y and z :

[tex]\dfrac1{2x} + \dfrac{47}8 = 4x^2 +4\left(\dfrac{5x}4\right)^2 \implies 82x^3 - 47x - 4 = 0[/tex]

This has 3 roots, but we take the lone positive solution for x because otherwise λ would be negative. This root is x ≈ 0.7965.

Then it follows that the closest point on the paraboloid to (4, 5, 6) is the critical point (0.7965, 0.9956, 6.5028).

Answer:

12.566

Step-by-step explanation:

A = ∫1/2(r)^2dtheta from a - b = 0 to 2π

∫1/2(sin^2theta-4sintheta+4)dtheta

[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…

when you solve this you get 14.137 without taking out the cos(2theta+3)

Using proportions, it is found that the Big Board market had the largest fraction.

------------------------

Big board:

The proportion that rose is:

[tex]p_B = \frac{1788}{3154} = 0.5669[/tex]

------------------------

NASDAQ:

The proportion that rose is:

[tex]p_N = \frac{2068}{3655} = 0.5658[/tex]

[tex]p_B > p_N[/tex], thus, the Big Board market had the largest fraction.

A similar problem is given at https://brainly.com/question/19905617

Answer:

(11,6)

Step-by-step explanation:

Answer:

answer i dont know please

Answer:

Step-by-step explanation:

[tex](-1)^{2} + 2^{3} -0^{4}[/tex]

[tex] = 1 + 8 - 0[/tex]

= 9 (Ans)

Answer:

[tex]f(x) = 15 \csc(x) + 5[/tex] (first option)

Step-by-step explanation:

[tex]f(x) = a \: \csc(x) + b[/tex]

[tex]a + b = 20[/tex]

[tex] - a + b = - 10[/tex]

••••

[tex]2b = 10[/tex]

[tex]b = 5[/tex]

[tex]a = 20 - 6 = 15[/tex]

[tex] = f(x) = 15 \csc(x) + 5[/tex]

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport. Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.

Answer:

The correct answer to the question is, proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.

One of the abundant organic molecules in living systems is the proteins. Proteins have the most various ranges of functions of all macromolecules.

Further Explanation

They may be regulatory, contractile, structural or protective. They serve in membranes, transport or storage. In a living system, each cell may have thousands of different proteins and performs different functions.  Proteins function and structures differ. However, all proteins are polymers of amino acid which are arranged in linear sequence.

Proteins perform a lot of functions and this is because there are 20 chemically distinct amino acids which constitute the long chains and the amino can take different order. For instance, proteins can function as hormones or enzymes. Living cells produced enzymes and are catalyst in chemical reaction. They are usually proteins. Enzymes can function to rearrange bond, to break bonds, or formation of new bonds. One of the examples of enzymes is salivary amylase, which is a component of starch. Hormones are usually proteins or steroids, which are secreted by a group of endocrine cells that control physiological process such as metabolism, reproduction and growth.

The monomers comprises of proteins are called amino acid and each amino acid has structures that make up of central carbon atom bonded into amino group.  

KEYWORDS:

amino acid

proteins

enzymes

transport

hormones

Answer:

Step-by-step explanation:

5 bulbs in 30-day month will consume electricity:

The total cost is:

Total electricity consumed per day

Consumed in 30days

For 5bulbs

Cost

Answer:

three hundred thousand plus ten thousand plus six thousand plus twenty plus nine

Step-by-step explanation:

300,000 → three hundred thousand

10,000 → ten thousand

6,000 → six thousand

20 → twenty

9 → nine

+ → plus

Now put everything together.

Best of Luck!

It's A and C.

A because if you multiply the numbers inside square roots , you will get exactly same ans.

C because √75 is 5√3 and if you multiply it with 2 you get 10√3. √50 is 5√2 and if you multiply it with 3 then you get 15√2.

Answer:

it's closer to 2

Step-by-step explanation:

In order to get to 1 from that number, you have to subtract 3/4.  In order to get to 2 from that number, you only have to add 1/4.  Clearly, the jump in adding is  smaller than the jump to subtracting, which means it's closer to 2.

The number is closer to 2

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

Given number:

1 3/4 = 7/4

On dividing

7/4 = 1.75

Hence, the number is closer to 2.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer:

-22

Step-by-step explanation:

f(x) = 3x^2 - 5

let x= 3

f(3) = 3*(3)^2 -5 = 3(9) -5 =27-5 =22

g(x) = -2x+5

Let x = 3

g(3) = -2(3) +5 = -6+5 = -1

f(3) *g(3) = 22(-1) = -22

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

Answer:

4t^2 - 8tna + nat - 2 n^2 a^2

Step-by-step explanation:

Dudjdkdjejdnkdhdbd

Answer:

X = 7

Step-by-step explanation:

5x-9=2x+12

5x-2x=12+9

3x=21

X=21/3

X=7

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

The bolded line represents a line segment rather than a line or a plane.

A line refers to an infinite figure that extends to the sides. For example, the railway track is composed of two lines.

This differs from a line because it is not infinite, instead, it is a section of a line with two endpoints. This concept applies to the bolded section of the tile because the section shows only a section of a line between two corners rather than a complete line.

Learn more about lines in: https://brainly.com/question/2696693

Answer:

The answer is B

Step-by-step explanation:

5−33−32+39+3

Not sure?

Answer:

300

Step-by-step explanation:

I hope it will help you.

Answer:

x=-2.2180

Step-by-step explanation:

steps are in picture

Answer:

C is the answer to your question

Answer:

sorry  cause pic is small and cant enlarge

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

a) The original point is in quadrant 2. Reflection into quadrant 3 is a reflection over the x-axis.

__

b) Reflection over the x-axis changes the sign of the y-coordinate. The new point is (-2, -5).

Answer:

x= 1/2 or x= -2/3

Step-by-step explanation:

-6x²-x+2=0

-6x²-4x+3x+2=0

-2x(3x+2) + 1(3x+2)=0

(-2x+1) (3x+2)=0

-2x+1=0 or 3x+2=0

x= -1/-2 or x= -2/3

so therefore

x=1/2 0r -2/3

using FOIL method

FIRST: (-2x)(3x)= -6x²

OUTER: (-2x)(2)= -4x

INNER: (1)(3x)= 3x

LAST: (1)(2) =2

-6x²-4x+3x+2

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

[tex](f-g)(x)=f(x)-g(x)[/tex]

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]

Answer:

I'm pretty sure it's the first and last one