Find the differential of the function w=x^(4)sin(y^(4)z^3)

Find The Differential Of The Function W=x^(4)sin(y^(4)z^3)

Answers

Answer 1

Step-by-step explanation:

[tex]w = x^4\sin(y^4z^3)[/tex]

The differential [tex]dw[/tex] is

[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]


Related Questions

How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze? Use the six-step method.

Answers

Answer:

405 gallons

Step-by-step explanation:

Let it be that the amount of gallons of a 70% antifreeze solution  is x, when a mixture that is 60 percents of antifreeze is placed in y gallons

x+90=y - the equation of dependence between solutions

The amount of antifreeze in the first one is x/100*70= 0.7x (in gallons), in the second solution (15percents) antifreeze is 90/100*15=13.5 (in gallons).

In the mixture we should get there will be y/100*60=0.6y - gallons of antifreeze

0,7x+13.5=0.6y

We have two equations x+90=y and 0,7x+13.5= 0.6y

0.6x+54=0.6y

0.7x+13.5=0.6y

0.7x+13.5-0.6x-54= 0.6y-0.6y

0.1x-40.5=0

x=405- the answer

p.s. sorry, I don't know what the six-step method is. But the answer is right.

A town has received about 49 inches of rainfall each year for the last 122 years. About how many inches of rain is this?

Answers

Answer:

5,978 inches

Step-by-step explanation:

you multiply 49 inches of rainfall by how many years it's been doing it for and you get 5,978

5,978 is what I got

Can someone please help me (giving brainliest to whoever is right)

Answers

I can help, but would need to know what you need help on.

I need help finding x

Answers

Answer:

x = 40.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 11/17

Taking the inverse sin of each side

sin ^-1 ( sin x) = sin ^-1( 11/17)

x = 40.32

Rounding to the nearest tenth

x = 40.3

Answer:

45°

Step-by-step explanation:

You can tell the distance from the right angle from each leg is the same and the angle measurements are the same.

When analyzing an argument, the first task is to identify its premise or premises and its conclusion. Conclusion indicators are words or phrases that can help you identify which statement in an argument is the conclusion.Each argument shown next uses a conclusion indicator. Identify the conclusion indicator and the argument's conclusion. Type the indicator word or phrase into the space provided, and then select which statement best represents the argument's overall conclusion.Argument ASilver cars are more likely to be pulled over than any other kind of car. This is because there are more silver-colored cars on the road than any other kind of car. Kari drives an average-looking silver car to and from work everyday. We may infer that Kari is more likely to be pulled over.From this argument, type the conclusion indicator word or phrase here:Which statement best represents the conclusion of the argument?Kari is more likely to be pulled over.Kari drives an average-looking silver car to and from work everyday.Silver cars are more likely to be pulled over than any other kind of car.There are more silver-colored cars on the road than any other kind of car.Argument BScissors are not a toy. If you run with scissors, then you could get hurt. You could poke your eye out or cut yourself with the scissors if you fall. For these reasons, you should never run with scissors.From this argument, type the conclusion indicator word or phrase here:Which statement best represents the conclusion of the argument?You could poke your eye out or cut yourself with the scissors if you fall.If you run with scissors, then you could get hurt.Scissors are not a toy.You should never run with scissors.Argument CWe know that the natural world is governed by scientific laws of regularity. Those laws express predictable relationships that do not allow any wiggle room for variant outcomes. So, humans do not have free will. This is because the human body is as much a part of the natural world as any other physical object.From this argument, type the conclusion indicator word or phrase here:Which statement best represents the conclusion of the argument?Humans do not have free will.The natural world is governed by scientific laws of regularity.The human body is as much a part of the natural world as any other physical object.Scientific laws express predictable relationships that do not allow any wiggle room for variant outcomes.

Answers

In Argument A the conclusion indicator  is "we may infer that" and the conclusion  is Kari is more likely to be pulled over.

In Argument B the conclusion indicator  is "For these reasons" and the conclusion  is You should never run with scissors.

In Argument C the conclusion indicator  is "So" and the conclusion  is Humans do not have free will.

To identify the conclusion of each argument, we can either separate the premises (examples of the author's opinion) from the entire argument or we can identify the conclusion indicators.

Some conclusion indicators include:

therefore, thus, hence, so, for these reasons, we may infer, as a result,consequently, etc

Argument A:

conclusion indicator = we may infer that

Conclusion = Kari is more likely to be pulled over.

Argument B:

conclusion indicator = For these reasons,

Conclusion = You should never run with scissors

Argument C:

conclusion indicator = So,

Conclusion = Humans do not have free will

Learn more here: https://brainly.com/question/14583700

497 + 184

A. 581
B. 671
C.681
D.571

Answers

Answer:C. 681Hope this helps!! <3

Answer:c

Step-by-step explanation:

3(4x+1)=15? X=
What is the solution?

Answers

Answer:

x=1

Step-by-step explanation:

3(4x+1)=15

12x+3=15

12x=15-3

12x=12

x=12/12

x=1

The average price of a 0.5- carat round diamond is $3700 and the average price of a 0.75- carat diamond is $4950. If the weight and the price of the diamond is linearly related, how much will a 2.5 -carat round diamond cost?

Answers

Since the problem stated the weight and price are in a linear relationship, we can use y=mx+b.

First, let's calculate our slope.

m = (4950-3700)/(0.75-0.5) = 5000

Now, let's solve for b.

3700 = 5000(0.5) + b

Simplify the right side of the equation.

3700 = 2500 + b

Subtract 2500 from both sides

1200 = b

Now our equation looks like this:

y  = 5000x + 1200

Let's plug 2.5 in for x to solve for the diamond cost.

y = 5000(2.5) + 1200

Simplify the right side.

y = 13700

The average price of a 2.5 carat diamond is $13700

One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.

If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.


187°


173°


90°


144°

Answers

250 is the total
120 is 48% of 250
A pie chart is a complete circle which is 360 degrees and 48% of 360 is 172.8 round that up to 173 degrees

The answer is 173

help please! will give brainliest

Answers

(f – g)(x) = f (x) – g(x)
(5-x)^2-(5-x)^2 = 0

Write the equation of the line that passes through (6,8 ) and (2,4).

Answers

Answer:

y = x + 2

Step-by-step explanation:

The slope of the given points (6, 8) and (2, 4) is m = 1.

The y-intercept found through the slope, m = 1, is b = 2.

So, m = 1 and b = 2, right?

Let's put this together into the formula y = mx + b, we'll get: y = x + 2

Write the number in expanded form 71,621

Answers

Answer:

there are a few types of 'expanded form' but i`ll just do this one

seventy-one thousand, six hundred and twenty-one

Can someone please show me how to solve (-6)=-x+b with steps?

Answers

Answer:

x = 6+b

Step-by-step explanation:

-6 = -x+b

Subtract b from each side

-6-b = -x+b-b

-6-b = -x

Multiply each side by -1

6+b = x

Help with this please now

Answers

Answer:

ok dude

Step-by-step explanation:

Wʜᴇʀᴇ ɪs ǫᴜᴇsᴛɪᴏɴ?

Answer:

what help l don't understand please sorry I didn't help you explain your problem l will help you

What expression is this equivalent to -4x^2 + 2x - 5(1 + x)

Answers

Answer:

-4x^2 -3x - 5

Step-by-step explanation:

-4x^2 + 2x - 5(1 + x)

Distribute

-4x^2 + 2x - 5 -5x

Combine like terms

-4x^2 -3x - 5

Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 5,850 pounds of fish?

1.59%
15.87%
31.74%
84.13%

Answers

Answer:

31.74%

Step-by-step explanation:

..........................

Answer:

B) 15.87%

I got full points on this question!! It's correct!

brainiest to whoever right

Answers

Answer:

The area is 7.5 square units

turn 5/9 into a decimal.​

Answers

5/9 to a decimal would be .5 repeated

The answer is .5 repeated

Do not put your answer as .5 because .5 is 5/10

A proper answer can be something like "0.5 repeated, 0.5555..., or .5 with a line over the 5"

Find the midline for f(x)=sinx+1.
a. y=0
B. y=−1
C. y=1
D. y=−2

Answers

Answer:

B Y=1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is the greatest value that sin(x) + 1 can have? It isn't 1.

f(90) = sin(90) + 1

f(90) = 1 + 1 = 2

What is the smallest value that sin(x) + 1 can have? It still isn't one.

f(-90) = sin(-90) + 1

f(-90) = -1 + 1 = 0

So the midline is (2 + 0)/2 = 1

y = 1 is the answer.

Whoever gets this question right, I will mark brainilest! Thanks!​

Answers

10. 2/10 = 0.2 or 0.20

11.  8/10 = 0.8 or 0.80

12. 5/10 = 0.5 or 0.50

13. 17/100 = 0.17

14. 89/100 = 0.89

15. 68/100 = 0.68

Help please due today

Answers

Answer:

the scale factor is greater than 1

hope this helps!:)

What is the solution to this system of equations?
-a – 3 + 4c = 3
5a - 8b + 5c = 27
5a – 2b + 6c = 1
A. a = -4, b = -2, c = 1
B. a = 4, b = 2, c = -1
C. a = 1, b = -4, c = -2
D. a = -2, b = –1, c = 4

Answers

Step-by-step explanation:

hope it can work for you mark me as brain liest

All the applicants chose at least one of the three countries Egypt, Ghana and South Africa. A total of 2417 applicants chose Egypt as their favorite destination; 3500 applicants chose Ghana or South Africa as their favored destination. Of those that chose Egypt, 1233 also chose Ghana. 1031 applicants chose Ghana and South Africa, while 2014 chose Egypt or South Africa but not Ghana. Only 565 applicants indicated their preference for Egypt and Ghana but not South Africa. If 1803 did not indicate Egypt as their preferred destination, obtain the following:
The total number of applicants assessed. (5 marks)
The number of applicants who chose each of the three destinations only. (3 marks)
The most popular of the three destinations. (2 marks)​

Answers

Answer:

hard quiz

Step-by-step explanation:


Solve for x.
(2x - 5°
(5x + 10)
B

Answers

i think the answer is x=25. if not then it’s x=-5

Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.

Answers

Step-by-step explanation:

For parallel line:

slope of given line:

m=-1/2

Parallel lines have equall slopes:

required slope=-1/2

For perpendicular line:

m1×m2=-1

-1/2×m2=-1

m2=2

slope of perpendicular line=2

Note:if you need to ask any question please let me know.

Match the line described on the left with the slope of the line on the right. y = 3‐--------------------------------------undefined 9x – 3y = 18.--------------------------,------- - 2 the line through (5, 7) and (5, – 8) -------0 the line through ( – 4, – 1) and (-1,–7)--- 3. ​

Answers

Answer:

y=3, 0; 9x-3y=18, 3; line through (5, 7) and (5, – 8), undefined; the line through ( – 4, – 1) and (-1,–7), -2;

Step-by-step explanation:

y=3 is a horizontal line so the slope is 0

9x-3y=18 can be written as 3y=9x-18 or y=3x-6 so the slope is 3

the line through (5,7) and (5,-8) is a vertical line since the x value didnt change between the two points so the slope is undefined

we have to find the slope of the line through ( – 4, – 1) and (-1,–7). to do this use the formula (y_2-y_1)/(x_2-x_1)=(-7-(-1))/(-1-(-4))=(-7+1)/(-1+4)=-6/3=-2 so the slope is -2

HELP ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

20 x 6

Step-by-step explanation:

23 x 6 = 138

We already have 3 x 6 on the right side, however, so subtract 3 x 6 or 18 from 138:

138 - 18 = 120

Now we have to fill in the blank with an answer that, when multiplied, equals 120 so that the equality is true.

The only option that works out to 120 is the second option, 20 x 6.

Answer:

(20×6)

Step-by-step explanation:

23×6=(20×6)+(3×6)

138=120+18

138=138

Which statement compares the two numbers correctly?

0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do

Answers

Answer:

the statements are missing can you post them please

Answer:

C. 0.799 < 0.8

Step-by-step explanation:

0.799 ________ 0.8

Choices:

0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799

Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.

We know 799 < 800, so apply the same here to get:

0.799 < 0.8

Correct choice is C

In which quadrant , the point (2, -1) lies
1st
2nd
3rd
4th​

Answers

Answer:

4 th quadrant

Step-by-step explanation:

hope it helps you

Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
| m^2+n^2 |

When m= -5 and n= 3, the value of the expression is ____.

**I answered 16 and it was wrong**

Answers

The value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.

Given,

| m^2+n^2 |

We need to find the value of this expression at m = -5 and n = 3.

What is the modulus of x?

The modulus of x is given as |x|.

The modulus of a negative x is also positive.

|-x| = x

How do we find an expression at a given point?

Example:

x + 2  at x = 1

= 1 + 2

= 3

Find the value of | m^2+n^2 | at m = -5 and n = 3.

| m^2+n^2 |

= | (-5)² + (3)² |

= | 25 + 9 |

= | 34 |

= 34

Thus the value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.

Learn more about finding the value of an expression at a point here:

https://brainly.com/question/17077979

#SPJ2

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