find and sketch the domain of the function. f(x, y, z) = ln(144 − 9x2 − 16y2 − z2)

Answers

Answer 1

The domain of the function f(x, y, z) = ln(144 − 9x² − 16y² − z²) is x ∈ (-4, 4), y ∈ (-3, 3) and z ∈ (-12, 12). It forms an ellipsoid.

Domain of a function is the set of all values possible for the input parameters for real output parameter or output parameter in given range.

f(x, y, z) = ln(144 − 9x² − 16y² − z²)

For f(x, y, z) to be real, 144 − 9x² − 16y² − z² should be greater than 0. So,

144 − 9x² − 16y² − z² > 0

9x² + 16y² + z² < 144

x²/ 4² + y²/ 3² + z²/ 12² < 1

So the domain is an ellipsoid.

Therefore x ∈ (-4, 4)

y ∈ (-3, 3)

z ∈ (-12, 12)

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Find And Sketch The Domain Of The Function. F(x, Y, Z) = Ln(144 9x2 16y2 Z2)

Related Questions

answer answer answer answer

Answers

Answer:

[tex]12 \leqslant x < 26[/tex]

Ms. Cathy bought a package of pens. Out of every 10 pens, 6 are black. If there are 20 pens in the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are black?​

Answers

Answer:

12/20 or 60%

Step-by-step explanation:

answer question asap please

Answers

AnswThe answer would be 5 and 86

Step-by-step explanation:

sulitions are 5 and 86

Answer:

x = 1/5 , -3/5 ??

Step-by-step explanation:

Which of the following describes the function of the nervous system?

A. to regulate internal temperature

B. to carry blood through the body

C. to rid the body of cellular waste

D. to respond to external stimuli

Answers

Answer: D

I think lol

The best description of the function of the nervous system among all the options is to respond to external stimuli.

Your nervous system is your body’s command center. Originating from your brain, it controls your motions, studies, and instinctive reactions to the humankind around you. It too controls distinct body systems and processes, similar to digestion, breathing, and sexual growth( puberty). conditions, accidents, poisons, and the natural aging course can compromise your nervous system.

Thus, option D is correct in that the nervous system is responsible to respond to external stimuli.

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PLEASEEE HELP I JUST NEED TO KNOW WHICH ONES ARE TRUE AND FALSE

Answers

Answer:

Step-by-step explanation:

1-true

2-false

3-true

4-false

2, en un curso de 37 estudiantes se proponen a elaborar un cohete con material reciclado, para poder hacer los cohetes, en el curso se cuenta con 151 tubos de cartón que se recolectaron en una jornada de reciclable. A: si para hacer un cohete se necesitan 4 tubos de cartón, ¿Hay suficientes tubos para que cada estudiante elabore su cohete?

Answers

Answer:

Yes, there enough tubes for each student to make their rocket.

Step-by-step explanation:

Given - In a course of 37 students they propose to make a rocket with recycled material, in order to make the rockets, in the course there are 151 cardboard tubes that were collected in a recyclable day.

To find - If 4 cardboard tubes are needed to make a rocket, are there enough tubes for each student to make their rocket ?

Proof -

Given that,

1 rocket is made with 4 cardboard tubes

Total cardboard tubes = 151

Now,

1 student will make 1 rocket

Total students = 37

⇒Total rockets made by the course = 37

Now,

1 rocket used 4 cardboard tubes

⇒37 rocket used 37×4 cardboard tubes

⇒37 rocket used 148 cardboard tubes.

As

148 < 151

⇒There are enough tubes for each student to make their rocket.

PLEASE HELP ANSWER CORRECTLY !!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!

Answers

Hello, hehelol12.

The length of PR is the same as TR.

Length of PR = 11.

The measure of angle PQR is the same as angle RST.

Measure of angle PQR = 39

I hope this helps you out!

PS. Brainliest would be appreciated. :)

Please Help ASAP!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with y- intercept c = - 4 → A

there is 1 pint of liquid in this container if another pint was added how much liquid would ther be

Answers

Answer:

2 us liquid pints =

0.25 us liquid gallon

Step-by-step explanation:

Find the value of x (7TH GRADE MATH)

Answers

Answer:

the answer is 5

Step-by-step explanation:

a right angle has a total of 90 degrees

so you subtract 65 from 90 and get 25

that is the total degrees in the rest of the angle

then you would have to divide 25 by 5

leaving you with 5

Ms. Ruiz has a piece of fabric that is 3 3/4 yards long. She waves to cut it into 12 equal pieces. How many yards will each piece of fabric be

Answers

Answer:

the number of yards be 0.3125

Step-by-step explanation:

The computation of the number of yards will each piece of fabric be is shown below:

Given that

There is [tex]3 \frac{3}{4}[/tex] yards long i.e. 15 ÷ 4

And, it should be cut into 12 equal pieces

So, the number of yards   will each piece of fabric be is

= 15 ÷ 4 ÷ 12 ÷ 1

= 15 ÷ 48

= 0.3125

Hence, the number of yards be 0.3125

Answer:

5/16

Step-by-step explanation:

3 3/4= 13/4

13/4 ÷ 12= 0.3125

0.3125 = 5/16

A square is cutting hair creating two equal triangles each triangle has an area of 0.32 cm what is the side length of the square in centimeters

Answers

Answer:

the lengt is 3.27cm

Step-by-step explanation:

its pretty hard to explain

Answer:

0.787400787

Step-by-step explanation:

Two equal triangles cut from a square are each .32cm so just multiply that by two and find the square root. Square root of .62 is 0.787400787

(っ◔◡◔)っ ♥ Hope It Helps ♥

I need help please I’ll give you 15 points

Answers

Answer:

3 x 5 x 5

Step-by-step explanation:

75 = 15 x 5

15 = 3 x 5

helpppppppp pleaseeeeeeeeeeeee

Answers

Answer:

area of the triangle is

[tex] \frac{1}{2} \times 4.4 \times (6.1 + 3.3)[/tex][tex] 2.2 \times 9.4[/tex][tex]20.68 \: {in}^{2} [/tex]

Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7​

Answers

Answer:

D. x + 2y² - 7

Step-by-step explanation:

it because it has 3 terms

What is the value of x?


Enter your answer in the box.

x =

Answers

Answer:

x = 4

Step-by-step explanation:

Let's find the length of JL as a first step.  Knowing the result, we can easily find x.

                                  |JL|              1

sin 30 degrees = ----------------- = --------

                                    8√2            2

Then 2 |JL|  = 8√2, or  |JL|  = 4√2

Next, find x:  sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],

                     1

x / [4√2] = --------    which results in x = 4

                    √2

Find the value of x.

Answers

Answer:

x = -7

Step-by-step explanation:

All triangle angles add up to 180

84 + x + 59 + x + 51 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -7

find the slope of the line that passes through points (2,8) and (1,3)

Answers

Answer:

Slope is m = 5

Step-by-step explanation:

Pls find B asap.....

Answers

Answer:

Point B is at coordinate point (7,9)

2x+10=28
What is the solution to this equation

Answers

Answer:

x=9

Step-by-step explanation:

step 1. restate the equation

2x+10=28

step 2. subtract 10 from both sides of the equations

2x+10-10=28-10

2x=18

step 3. get x alone by dividing 2 from both sides

2x/2=18/2

step 4. the answer

x=9

What is the horizontal difference between (2, 4) and (-1, 0)?

Answers

Answer:

3

Step-by-step explanation:

Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function. x 0 1 2 3 4 f(x) 0 2 4 6 8 a. Exponential; y = 1 (1.2) Superscript x c. Exponential; y = 2 (1.1) Superscript x b. Linear; y = 2x d. Linear; y = x

Answers

Answer:

Its B

Step-by-step explanation:

If you look at how the chart is flowing, the y values are 2 times the x value.

for example,

1x2=2

2x2=4

3x2=6

and

4x2=8

Therefore, the equation is linear and y=2x

Answer:

b. Linear; y = 2x

Step-by-step explanation:

Find the value of the variable.
8
4
6
y =

Answers

9514 1404 393

Answer:

  y = 12

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  y/6 = 8/4

  y = 6·8/4

  y = 12

Answer:

Solution :-

At first we know that

In a bisector

[tex] \sf \: a \times c = b \times d[/tex]

[tex] \bf \: 8 \times 6 = 4 \times y[/tex]

[tex] \bf \: 48 = 4y[/tex]

[tex] \bf \: y = \dfrac{48}{4} [/tex]

[tex] \bf \: y = 12[/tex]

Michelle is making a scale model of her favorite car. The actual car is 8 feet long and 4 feet wide. Michelle wants her model to be 12 inches in length. Which could be used to find the width of her model if she used the same ratio?

Answers

Answer:

6 inches

Step-by-step explanation:

It is given that :

Length of the actual car = 8 feet

Width of the actual car is = 4 feet

Michelle is making a model of her car.

The length of her model car  = 12 inches

Therefore, the ration is 3 : 2

So the width of the model car = 4 x 3/2

                                                 = 6 inches

Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y


Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A

Answers

Answer:

Step-by-step explanation:

ITS A

Answer:

The answer is C , Graph A

Step-by-step explanation:

Write an expression that represents: 6 less than ⅓ times the sum of x and 4


Help please dont say I dont knoẁ and waste my points know or give something this is the second time I am asking this question

Answers

Answer:

(1/3-6) x  (x+4)

Step-by-step explanation: Less than indicates you put the 1/3 first, giving you 1/3-6. Then you multiply that by x+4. Sum means additon! The X in the middle is a multiplacation symbol.

find value of x and y

Answers

Step-by-step explanation:

x = 144 ( corresponding angle)

y = 180- 144 ( linear pair)

y= 36°

Seth has some $1 bills and some $5 bills. In total he has 6 bills that are worth a total of $22. Write a system of equations and solve to find out how many $5 bills Seth has.

Answers

maybe 5+5+5+5+1+1 or (5x4)+(1+1) hope that helps!

y = 5x + 2
4x - y = 0
Is (2 , 12) a solution of the system?

Answers

Step-by-step explanation:

no , (2,12) only works for the 1st one

Answer:

Step-by-step explanation:

No

timothy is planting a garden. Tulips cost $125 per bub. The total cost c of his gardening supplies is $1.25 per bub b plus $10 for a bag of mulch. What is the independent and dependent variables and the equation and solution!

Answers

Answer:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

Equation: c = $1.25b + $10

Timothy would spend: $20

Step-by-step explanation:

Total cost = c

Number of bub = b

✔️Total cost, c, is dependent on the number of bub, b.

Therefore:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

✔️Equation that describes this situation can be written as:

c = $1.25b + $10

✔️If Timorhy buys 8 bubs, he would spend the following:

Substitute b = 8 into c = $1.25b + $10, and solve for c.

c = $1.25(8) + $10

c = $10 + $10

c = $20

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