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
35 POINTS, i dont understand this question!!!! can someone give me a brief yet useful explanation??
Answers
surveying a random sample of 25 students attending a school football game
Don't forget put heart ♥️
The music store sold 12 trumpets and 19 clarinets last month.
a) Write an equation to show the amount of money earned on trumpet and clarinet sales last month. Define your variables.
b) If clarinets sell for $139.95 and the store made $4578.45 from sales on the two instruments, find the price of a trumpet.
Answers
Answer:
a) let x = price of 1 trumpet
let y = price of 1 clarinet
12x + 19y
b)
12x + 19(139.95) = 4578.45
12x + 2659.05 = 4578.45
12x = 1919.4
x = $159.95
A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W
Answers
Answer:
A = W² + 6W
Step-by-step explanation:
The width is W.
The length is 6 units greater than the width, so the length is W + 6.
The area is the product of the length and width.
A = (W + 6)W
A = W² + 6W
What can you do if a decimal product has final zeros to the right of the decimal point
Answers
Answer:
place the decimal point in the product so that the number of decimal places in product is the sum of decilal places in the factors. keep all zeros in the product when you place the decimal point. you can drop the zeros on the right once the decimal point has been placed in the product.
Determine the gradient of line AC
Answers
Answer:
This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.
what two numbers when multiplied makes 6 but when added equals -10
Answers
what is 392,153 rounded to the nearest ten thousand
Answers
Step-by-step explanation:
392,153 rounded to the nearest ten thousand is 390,000
Answer:
I believe it is 390,000
Step-by-step explanation:
If you drive 565 miles a day, how far will you have gone at the end of a week?
Answers
If you drive 565 miles a day for 7 days do 565 times 7!
- (x^2 - 3x + 2) - x(x - 4)
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Answer:
[tex] - (x^{2} - 3x + 2) - x(x - 4) \\ = ( - x^{2} + 3x - 2) + ( - x ^{2} + 4x) \\ = - 2 {x}^{2} + 7x - 2[/tex]
I hope I helped you^_^
Answer:
[tex] = - 2 {x}^{2} + 7x - 2[/tex]
Step-by-step explanation:
[tex] - ( {x}^{2} - 3x + 2) - x(x - 4)[/tex]
[tex] - {x}^{2} + 3x - 2 - x(x - 4)[/tex]
[tex] - {x}^{2} + 3x - 2 - {x}^{2} + 4x[/tex]
[tex] - {2x}^{2} + 3x - 2 + 4x[/tex]
[tex] \boxed{\green{ = - 2 {x}^{2} + 7x - 2}}[/tex]
[tex]stan \: \: Dreamcatcher \\ and \: \: stream \: \: BEcause \\answered \: \: by \: \: a \: \: fellow \: \: InSomnia[/tex]
the number of seats in a movie theater
Answers
A.It has point symmetry.
B.It has rotational symmetry with an angle of rotation of 120°.
C.It has reflectional symmetry with eight lines of symmetry.
D.It has no reflectional symmetry.
Answers
Answer:
c. It has a reflectional symmetry with 5 lines of symmetry
Step-by-step explanation:
Answer:
Step-by-step explanation:
(B). It has rotational symmetry with an angle of rotation of 120°.
When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?
123.4
1234 over 12
123 + 4
1234 over 1480
Answers
Answer:
123.4
Step-by-step explanation:
If f(x)=-3x-5andg(x)=4x-2,find(f+g)(x)
Answers
Answer:
x -7
Step-by-step explanation:
f(x)=-3x-5
g(x)=4x-2
(f+g)(x)= -3x-5+4x-2
Combine like terms
= -3x+4x -5-2
= x -7
Answer:
[tex]x - 7[/tex]
Step-by-step explanation:
[tex]f(x)=-3x-5 \\ g(x)=4x-2 \\ (f+g)(x) = - 3x - 5 + 4x - 2 \\ = x - 7[/tex]
a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?
Answers
Answer:
it will be 736 speed faster than
a sports team won twice as many games as they lost. the sum of games won and games lost was 42. How many games did they win?
Answers
Answer:
The number of win games are 28
Step-by-step explanation:
x=lost. 2x=win
2x+x=42
3x=42
x=42
3
x=14
win=2x
=2×14
=28
The number of games the sports team won if a sports team won twice as many games as they lost is 28games
Let the amount the sports team lost be x
If the sports team won twice as many games as they lost, then the number of games won will be 2x
If the sum of games won and games lost was 42, then:
x + 2x = 42
3x = 42
Divide both sodes by 3
3x/3 = 42/3
x = 14
Amount of games won = 2(14)
Amount of games won = 28games
Hence the amount of games the sports team won is 28games
Learn more here: https://brainly.in/question/21002234
The area of a rectangle is represented by 9× + 15 and the length of the rectangle is 3. What is the width of the rectangle
Answers
Answer:
Step-by-step explanation:
l*b = 9x+15
3*b=9x+15
b=9x+15/3
b=3x+5 ans
Write y = x + 7 in standard form using integers.
Answers
Answer:
y=x+7
y=7x+y
=7xy
Step-by-step explanation:
right answer is 7xy
perimeter is 21cm Length is 7.5cm and the Breadth is not given
Answers
Answer:
The answer is 3cm
Please give branliest!
Step-by-step explanation:
(S1×2)+(S2×2)=21cm
(S1+S2)×2=21cm
S1+S2=21÷2
7.5+S2=10.5
S2=10.5-7.5
S2=3
Breadth=3cm
Step-by-step explanation:
p=2(l+b)
21=2(7.5+b)
21=15+2b
21-15=2b
6=2b
6/2=b
b=3
the raidan measure of an angle is equal to the ratio of the legnth of its intercepted arc to the radius
A.True
B.False
Answers
Answer:
True.
Step-by-step explanation:
As long as the vertex of the angle is at the center of curvature of the intercepted arc.
you are solving an equation with a variable on each side. does the side on which you choose to isolate the variable affect the solution? why might you choose one side over the other?
Answers
Answer:
Does the side on which you choose to isolate the variable affect the solution?
No, because at the end you get an equation with a variable on one side only.Why might you choose one side over the other?
To simplify or minimize the number of operations you need. Moving part of the terms from one side to another adds at least one extra operation and it may also bring some complications.Determine whether the statement is true or false.
Every real number is an irrational number.
Answers
Answer:
Firstly irrational number are any real number that cannot be expressed as the quotient of two integers . For example there is no number among integers and fractions that equals the square root of 2 .
Hope I helped
-4|8-5n|=19
-4|8-5n|=-19
I need the work shown for me pls so if anyone can help
Answers
Step-by-step explanation:
-4|8-5n|=19
-4/-4|8-5n|=19/-4
|8-5n|=4.75
5n=4.75-8
5n=-3.25
5n/5=-3.25/5
n=-0.65
if it is wrong sory
If 3^x=243^4, then what is x?
Answers
Answer:
x=20
Step-by-step explanation:
3^x=243^4
3^x=(3^5)^4
3^x =3^20
x=20
Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units. Triangle A B C is shown. Point D is the midpoint of side A B and point E is the midpoint of side B C. The lengths of A D and D B are 3 t, the lengths of B E and E C are 4 t, and the length of A C is 7 t + 6. What is the value of t
Answers
9514 1404 393
Answer:
t = 2 units
Step-by-step explanation:
The perimeter is the sum of the side lengths:
AD +DB +BE +EC +AC = 48 = 3t +3t +4t +4t +7t +6
42 = 21t . . . . . . subtract 6 and simplify
42/21 = t = 2 . . . . . . divide by the coefficient of t
Can someone help me thanks!
Answers
Answer:
If it goes to the left it becomes in the hundredths place meaning it decreases
Step-by-step explanation:
solve this equation by completing the square p^2 + 16p - 17 = 0
Answers
Answer: p=1
Step-by-step explanation:
[tex]p^{2}+16p-17=0\\p^{2}+16p=17\\1^{2}+16(1)=17\\1+16=17\\p=1[/tex]
(p-1)(p+16)
Also, here's the cross method in completing the square that I tried in the file attachment. I haven't done this in a while, so this may not be neat.
PLEASE HELP
write and solve an equation to find the value of X. please explain in details and show your work!
Answers
The answer is x=34 degrees.
The answer you are looking for is x=34.
Solution/Explanation:
First things first, we need to understand that the sum of the angles of a triangle is 180°. We can apply this fact for the problem.
So, that means that the sum of all of the angles of this triangle is 180°.
So, therefore, we can formulate an equation:
2x+20+2x-10+x=180.
So, we now have our expression.
Now, all we need to do is simplify it.
Combining similar-like terms,
2x+2x+x+20-10=180.
Simplifying it now,
5x+10=180.
Subtracting 10 from both sides of the equation,
5x+10-10=180-10.
5x=170.
Finally, dividing both sides by 5,
5x/5=170/5.
x=34.
So, therefore the final answer is x=34.
I hope that this has helped you. Enjoy your day, and take care!
13. There are about 4 • 10% known species of beetles.
The number of known species of caddis flies is
about 104. How many times more species of beetles
are there than caddis flies?
Answers
Answer:
40
Step-by-step explanation:
Find the value of x and d.
Answers
Step-by-step explanation:
2x-5=71 ---> x=38
71+76=147 ---> d=33
If a < b, what additional assumptions on a and b will guarantee that a^2 < b^2. Prove your assumption.
Answers
Answer:
An additional assumption is that a is not negative.
Step-by-step explanation:
If a could be negative, then:
(-7)^2 < 3^2 would be false because
49 is not greater than 9