Find the differential of the function w=xsin(2yz^4).

Find The Differential Of The Function W=xsin(2yz^4).

Answers

Answer 1

The differential of

[tex]w = x \sin(2yz^4)[/tex]

is

[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]

where the partial derivatives are

[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]

So the differential dw is

[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]


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A glucose molecule is the smallest type of protein monomer of starch and cellulose largest of the carbohydrate polymers fundamental unit of genetic material.

A glucose molecule is the monomer of starch and cellulose.

Step-by-step explanation:

Glucose is an organic molecule composed of carbon atoms, oxygen atoms, and hydrogen atoms.It has a molecular formula of [tex]C_6H_{12}O_6[/tex]It is a monosaccharide sugar, carbohydrateAn important source of an energy in living organisms.Glucose gives two different natural polymers named: starch and cellulose. This polymer is formed by linking small units of glucose molecules with each other. And this small unit which repeats in the structure of its polymer is known as a monomer.Glucose in the monomer in its natural polymer that was starch and cellulose.

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1. In some music, a whole note equals one measure, a quarter note
equals , of one measure, and an eighth note equals of one
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what notes can make up the rest of the measure? Write and solve an
equation.

Answers

Answer:

3 eighths are needes to make up the rest of the measure.

Step-by-step explanation:

1/4 + 1/4 + 1/ 8 + x = 1

2/4 + 1/8+x=1

4/8 + 1/8+x=1

5/8 + x=1

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x=3/8

We need three eights.(Because 3/8=1/8+1/8+1/8 and 1/8 represents an eights)

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Answer:

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Step-by-step explanation:

g is a reflection of f over the y-axis. Such a reflection replaces x with -x.

  g(x) = f(-x) . . . . . matches choice C

_____

Additional comment

(A) leaves the function unchanged.

(B) is a reflection over the x-axis

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Answers

Answer:

Angle DBC = 51

Step-by-step explanation:

Angle ABC = angle ABD + angle DBC

We are given that angle ABC = 122 and angle ABD = 71

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* Solve for angle DBC *

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Answer:

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Step-by-step explanation:

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m∠DBC = 51°

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You can’t actually find x with this equation.
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How many area codes (ABC) would be possible if all three digits could be any value 3-9

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Which of the following does not represent a proportional relationship?



A. Zoe earns a base salary of $500 plus 3% commission


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Step-by-step explanation:

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Answer:

d is the answer

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Answer:

35/36  or about 0.972

Step-by-step explanation:

The probability of rolling the same number

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second die 1/6

third die 1/6

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Answer:

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Step-by-step explanation:

Lines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
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Step-by-step explanation:

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What are the options?

If k is an integer, what is
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!
? Why?

Answers

If [tex]k\in\mathbb{Z}[/tex] than [tex]k+1\in\mathbb{Z}[/tex] however any [tex]\mathbb{Z}[/tex] divided by 2 is in [tex]\mathbb{Q}[/tex].

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[tex]\mathbb{Z}[/tex] is a set of integers.

[tex]\mathbb{Q}[/tex] is a set of rational numbers.

[tex]\mathbb{Z}\subset\mathbb{Q}[/tex] means integers are a subset of rational numbers, that is, every integer is a also a fraction, however not every fraction is an integer.

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Answers

Answer:

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add 6 to the difference between 9 and 7

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It is b!!!!!! (9-7)+6

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Answer:

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Step-by-step explanation:

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Create a function that generates for any value x the corresponding value y when
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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

2x+1=0.

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Noah bought 5 pounds of onions at $2 per pound and a bag of salad greens for $4. How much money did he spend?cant someone help me please​

Answers

5 pounds of onions 2$ each = 10$
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The answer is B.

Express the following as the sum of twin primes
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Answers

Answer:

answer it's c)24...

Step-by-step explanation:

i think helping you..... please tell correct or no...

Jason surveyed the student athletes at his school as they left the locker
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school most liked to watch. Which of the following statements is true?

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B. Jason is correct. This population is best for his question.

C. Jason is not correct. Since sports are played during different seasons, he would
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D. Jason is not correct. Since there are other students in the school that watch
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Answers

Answer:

D

Step-by-step explanation:

I hope thats correct

Can anyone help please?

Answers

Ok ok im gonna with C but if it’s wrong i am sooo sorry

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Answer:

[tex]ax + bx = 10 \\ \\ x(a + b) = 10 \\ \\ x = \frac{10}{a + b} [/tex]

I hope I helped you^_^

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