Answers
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]
Related Questions
(2x+1)(3x+4)=0
2x+1=0 3x+4=0
Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
(I don’t know what to do next)
Answers
Answer:
2x+1=0.
2x=0-1.
2x=-1.
2x/2=-1/2.
x=-2.
3x+4=0
3x=0-4
3x=-4
3x/3=-4/3
[tex]x = 1 \frac{1 }{3} [/tex]
You have 3 fair 6-sided dice. You repeatedly roll all 3 at once, until all 3 of them show thesame number. What is the probability that you have to tryat leasttwice
Answers
Answer:
35/36 or about 0.972
Step-by-step explanation:
The probability of rolling the same number
first die 6/6
second die 1/6
third die 1/6
1(1/6)(1/6) = 1/36
so there is a 35/36 chance that you will not get it done on the first roll and need to attempt at least one more time.
Find the value of x if 3(4x+3)
Answers
3(4x+3)
12x+9
This is the farthest you can go because there are no like terms.
If it was something like this:
3(4x+3)=3 then you would be able to find the value of x.
find the total distance the model airplane
Answers
Answer:
1833 miles is the total distance if the model airplane.
Create a function that generates for any value x the corresponding value y when
y= 17x^2+ 14x +9
Required:
What is the value y when x =12?
Answers
Answer:
Step-by-step explanation:
Solve for x
ax+bx=10
Answers
Answer:
[tex]ax + bx = 10 \\ \\ x(a + b) = 10 \\ \\ x = \frac{10}{a + b} [/tex]
I hope I helped you^_^
Which of the following does not represent a proportional relationship?
A. Zoe earns a base salary of $500 plus 3% commission
B. Dane drove 200 miles at a consistent speed for four hours
C. Water leaks from the faucet at a rate of 1/2 of a liter per hour
D. A recipe for biscuits calls for 3 cups of flour and 1 1/2 teaspoons of baking soda
Answers
Step-by-step explanation:
the correct aanswer is 3 is correct answermark me bbrainleast plz
Answer:
d is the answer
Step-by-step explanation:
mark me as brilliant
A glucose molecule is the
smallest type of protein
monomer of starch and cellulose
largest of the carbohydrate polymers
fundamental unit of genetic material
Answers
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.So from this, we can conclude that A glucose molecule is the monomer of starch and cellulose.
Learn more about glucose here:
brainly.com/question/13593795?referrer=searchResults
brainly.com/question/13159416?referrer=searchResults
1. In some music, a whole note equals one measure, a quarter note
equals , of one measure, and an eighth note equals of one
measure. If one measure has two quarter notes and an eighth note,
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
x=1 - 5/8
x=3/8
We need three eights.(Because 3/8=1/8+1/8+1/8 and 1/8 represents an eights)
Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.
Answers
Answer:
C is the answer to your question
A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.
Answers
Answer:
8.5 feet and 7.5 feet.
Step-by-step explanation:
Hope this helps :)
Calculate simple interest and compound interest assuming that principal amount is $ 10,000; interest rate is 9% for three years. What is the amount different between compound and simple interest?
Answers
Step-by-step explanation:
Please mark me as brainlyest
The set of even natural numbers greater than or equal to 6
Answers
Answer:
{6, 8, 10, 12, 14, 16, 18, 20, ...}
Step-by-step explanation:
even natural numbers >/= 6.
Thus this has no upper limit and the set is thus infinite.
The set of even natural numbers greater than or equal to 6 is
What are the natural numbers?" The natural numbers are those numbers used for counting and ordering. Numbers used for counting are called cardinal numbers."
We know the natural numbers are:
{1, 2, 3, 4, 5, 6, 7,..........}
Now, the set of even natural numbers are:
{2, 4, 6, 8, 10...........}
Therefore, the set of even natural numbers greater than or equal to 6 is
{6, 8, 10, 12,..............}
Learn more about natural numbers here: https://brainly.com/question/8102087
#SPJ2
In the figure below, which answer choice correctly identifies the name of two rays?
Answers
Answer:
plz mark me as brainlist
Step-by-step explanation:
b)JK and KL
Answer:
JK AND KL
Step-by-step explanation:
How many area codes (ABC) would be possible if all three digits could be any value 3-9
Answers
Answer:
Step-by-step explanation:
Whatis (-5 + 3i) -(4+7i)?
Answers
Answer:
-5-4i is your answer.
I hope it will help youWrite the fraction 16/28 in simplest form.
Answers
Answer:
1/4
Step-by-step explanation:
add 6 to the difference between 9 and 7
a) 7- (9 + 6)
b) (7 - 9) + 6
c) (9 - 7) + 6
d) 9 - (7 + 6)
Answers
Can anyone help please?
Answers
What is the answer to this question?
Answers
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
Express the following as the sum of twin primes
a) 84
b)36
c)24
d)425
Answers
Answer:
answer it's c)24...
Step-by-step explanation:
i think helping you..... please tell correct or no...
Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Sweden and Greece to gain from trade? Check all that apply.
Answers
what is the answer to this problem (40+35+2(30+25))/5
Answers
Answer:
37
Step-by-step explanation:
Answ 925
Step-by-step explanation:
Noah bought 5 pounds of onions at $2 per pound and a bag of salad greens for $4. How much money did he spend?cant someone help me please
Answers
A bag of salad greens for 4$ = 4$
10$ + 4$ = 14$
The answer is B.
Will give brainliest answer
Answers
9514 1404 393
Answer:
(C) g = f(-x)
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
(C) is a reflection over the y-axis (applicable here)
(D) is a reflection over the origin (both x- and y-axes)
Jason surveyed the student athletes at his school as they left the locker
rooms for practice. When selecting from a list of questions, he determined
that he could survey the athletes to determine which sport students in the
school most liked to watch. Which of the following statements is true?
A. Jason is not correct. Since the students are in a small age group, he should go to
a baseball game and survey the spectators there to find the most popular sport
to watch.
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
have to conduct his survey over the entire school year to get more accurate
results.
D. Jason is not correct. Since there are other students in the school that watch
sports but do not play them, he should expand his population
Answers
Answer:
D
Step-by-step explanation:
I hope thats correct
Simplify 24 ÷ (3 + 2 square)
Answers
Answer:
3.42
Step-by-step explanation:
24/7=3.42
If m ABC=122 and m ABD=71 then m DBC =
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
So 122 = 71 + angle DBC
* Solve for angle DBC *
Subtract 71 from both sides
122 - 71 = 71 - 71 + angle DBC
51 = angle DBC
m∠DBC = 51°
Step-by-step explanation:
m∠ABC = 122°
m∠ABD = 71°
m∠DBC = m∠ABC - m∠ABD
m∠DBC = 51°
If k is an integer, what is
k + 1
/2
!
? 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].
But it is not so simple.
If [tex]k[/tex] is odd then [tex]k+1[/tex] is even but when even number is divided by 2, you get an odd number which is in [tex]\mathbb{Z}[/tex].
However if [tex]k[/tex] is even then [tex]k+1[/tex] is odd and when we divide that by 2, you get a number like for example [tex]\frac{5}{2}[/tex] which is not in [tex]\mathbb{Z}[/tex] but rather inside [tex]\mathbb{Q}[/tex]. There are fortunately no irrational numbers.
There is also a problem with zero, zero is neither odd nor even but still an integer. If your [tex]k[/tex] happens to be -1, [tex]k+1=0[/tex], and zero divided by 2 is still just 0 which is in [tex]\mathbb{Z}[/tex].
So to sum up,
If [tex]k[/tex] is odd and not -1, then [tex]\frac{k+1}{2}\in\mathbb{Z}[/tex].
Or to put it in math [tex]\forall k\in\mathrm{odd}-\{-1\}\cup\{0\}\implies\frac{k+1}{2}\in\mathbb{Z}[/tex].
If [tex]k[/tex] is even or -1, then [tex]\frac{k+1}{2}\in\mathbb{Q}[/tex].
Or to put it in math [tex]\forall k\in\mathrm{even}\cup \{-1\}\implies\frac{k+1}{2}\in\mathbb{Q}[/tex].
Notes:
[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.
Hope this helps :)
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
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.
Answers
parallel lines have equal slopes
