The line integral ∫Cx^2y^2z dz is equal to zero.
We want to evaluate the line integral ∫Cx^2y^2z dz, where the curve C is given by |z| = 2. Since C is a closed curve (it lies on a cylinder with top and bottom at z = 2 and z = -2, respectively), we can use the divergence theorem to convert the line integral into a surface integral.
Applying the divergence theorem, we have:
∫∫S F · dS = ∫∫∫V ∇ · F dV
where F = (x^2y^2, 0, z) and S is the surface of the cylinder.
We can simplify ∇ · F as follows:
∇ · F = ∂/∂x (x^2y^2) + ∂/∂y (0) + ∂/∂z (z) = 2xy^2
Thus, the surface integral becomes:
∫∫S F · dS = ∫∫∫V 2xy^2 dV
We can then use cylindrical coordinates to evaluate the triple integral:
∫∫∫V 2xy^2 dV = ∫0^2π ∫0^2 ∫0^2 (2r^3 sinθ cosθ) dr dz dθ
= 0
Therefore, the line integral ∫Cx^2y^2z dz is equal to zero.
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7x — 3х – 4 = -1 + 21
Answer:
x = 6
Step-by-step explanation:
7x - 3x - 4 = -1 + 21
4x - 4 = 20
4x - 4 + 4 = 20 + 4
4x = 24
4x/4 = 24/4
x = 6
0.734862.. irrational or rational
Answer:
Irrational
Step-by-step explanation:
Which operation should you perform first when you simplify the expression below?
85+ (9-25.5) ÷ 3
A: addition
B:subtraction
C:multiplication
D:division
Answer:
A pq eu já não sei mas vou na A! não sei falar inglês, meu irmão leu, mas acho que não leu direito, eu chuto na A
A pancake recipe calls for of a cup of powdered milk and cups of whole wheat flour for each batch of pancakes. If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat flour does she need?
Answer:
8
Step-by-step explanation:
if this helped you please vote brainiest.
what is 696969 time 1
Anything times 1 = the same number so 696969x1=696969
Answer:
696969
Step-by-step explanation:
So I've noticed a lot of people have been struggling on equations like these : 8 + ( 2 * 7 )
and I'll be explaining an easy way on how to solve it.
So basically 2 * 7 = 14, now we just have to add 8 + 14 which equals 22.
The parenthesis is the equation you have to solve to get your answer and then you just have to either add, subtract, multiply or divide to find your answer.
I hope this helped!
Answer:
Yes, it did. Thank you very much.
Find the square root of the number. -4 square root -32 The square root is
Answer:
-32 + 2i.....
yan po Ang sagot ko jan
sum of 500 consecutive integers is 250 . what is the product same 500 numbers
Answer:
250 and 2 because i think 250 multiply by 2 is 500
The product of the 500 numbers is 0.
What are integers?Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.
Consecutive integers are whole numbers that follow each other on the number line. For example, 1, 2, 3, 4 .... are consecutive integers.
How to determine the product of the 500 consecutive integers
If the sum of the 500 consecutive integers is equal to 250, it means that the consecutive integers would include negative numbers, zero and positive numbers. If the consecutive integers include zero, the product of the consecutive integers would be equal to zero.
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NOTE: Angles not necessarily drawn to scale.
Answer:
x = 40°
Step-by-step explanation:
angle A is a vertical angle with 60 so it's 60
60+80 = 140
180-140 = 40
Answer:
[tex]\boxed{\tt x=40^{\circ}}[/tex]
Step-by-step explanation:
∠x, ∠BAC, and ∠CAF form a straight line.
*Sum of angles that are formed on a straight line is equal to 180°.*
[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]
Add, 80°+60°=140°
[tex]\tt x+140^{\circ}=180^{\circ}[/tex]
Subtract 140 from both sides:
[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]
[tex]\tt x=40^{\circ}[/tex]
_____________________________
Please help me please with math!
Answer: Slope = -32
Explanation:
The given equation is in y = mx+b form
m = -32 is the slope
b = -9/38 is the y intercept
Answer:
slope: -32
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
Slope: − 32
y-intercept: ( 0 , − 9/ 38 )
18:30 as a ratio simplified, please :))
What is the value of x
Answer:
the answer will be 10 aka number 1
Step-by-step explanation:
If the left side is 18 and the number above it is half that aka 9 then the other side is 10
Noah works at a museum and monitors a fish tank. The tank currently has 140
gallons of water when Noah leaves to go home for the night. Overnight, the tank
starts to leak and water is draining at a constant rate of 2 gallons per hour. When
Noah returns to work the next day, he finds the tank after it had been leaking for 4
hours. Select all the statements that could represent the amount of water in the
tank when Noah return to work the next day.
a. 140 + -2
b. 140 + (-2)(4)
C. 140 + (2/4)
d. 140 + 8
e. 140 + -8
f. 138
g. 132
Answer:
B, E, G
Step-by-step explanation:
Which THREE statements describe how to find the product of 5×103?
Answer:
multiply 5×1,000 B multiply 5×10 three times and then add the products C move the decimal point in the number five, three place values to the left D move the decimal point in the number five, three place values to the right E move the digit 5, three place values by adding three zeroes to increase its value.
Answer:
Three statements to find 5x103=515
Step-by-step explanation:
5x(100+3)5x((25x4)+3)5x((50x2)+3)Someone please explain how to get the answers
Answer:
[tex] m\angle A =40\degree [/tex]
[tex] m\angle D =40\degree [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]
[tex] m\angle A =40\degree [/tex]
[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]
[tex] m\angle D =40\degree [/tex]
solve for variable y answer in simplest radical form
Answer:
option A
Step-by-step explanation:
option A y = 9√3 is the correct answer .
In∆ PQR
cos 30 = y /18
√3/2 = y / 18
y = 9√ 3
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?
Answer:
750
Step-by-step explanation:
50+25+50+100+200+100+200+25
Find the value of x.
Answer:
hi i dont know the ans but it have this app called photomath that will help u
hi please help i will mark brain list giving all my points
Answer:
B
Step-by-step explanation:
It looks like addition to me.
Answer:
Its B. Addition Property of Equality
Step-by-step explanation:
Can Someone Answer this question??
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442
Find the 37th term.
Answer:
37th term = -136
Step-by-step explanation:
Given:
Series;
460, 451 ,442
First term a = 460
Common difference D = 451 - 460 = -9
Find:
37th term
Computation:
37th term = a + 36D
37th term = 460 + 36(-9)
37th term = -136
Answer:
136
Step-by-step explanation:
Arithmetic Sequence.
Common Difference:
451−460=−9
442−451=−9
d=−9
Explicit Formula:
a{n}=a{1}+(n-1)d
a{37}=460+(36)(-9)
a{37}=136
=136
(Got it right on DeltaMath
pls help w this math question
thx !
hey can anybody solve this
Answer:
34ft.sq
Step-by-step explanation:
Area of the given triangle = 1/2 * base * height
=1/2*17*4
=17*2
=34 ft.sq
Answer:
34 ft²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 17 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 17 × 4 = [tex]\frac{1}{2}[/tex] × 68 = 34 ft²
The school sold 93% of the 400 tickets to the play. How many tickets were sold?
Please help
Answer:
372.
Step-by-step explanation:
just search up 93% of 400, neither of us are smart enough to figure it out ourselves
Answer: The answer would be 372
Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3,20).
y=12x-16
that's the answer
please help me will mark brainleist (ik i spelled that wrong)
Answer:
its way to blurry nobody can see
Answer:
x power 2 +2x-8 = - 6x power of 3
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?
Answer:
it a i had the same one
Step-by-step explanation:
que es la radicasion
Answer:
un lugar, típicamente uno que ha estado previamente deshabitado, donde la gente establece una comunidad.
POSSIBLE POINTS 10
Using the following set of data, find the upper quartile.
17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23
Answer:
Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32
Step-by-step explanation:
8, 9, 11, 14, 17, 23, 29,30, 32, 32
ZA=
Round your answer to the nearest hundredth.
A
?
5
B
3
Select the correct answer. What is the value of a in the function’s equation?
Answer:
[tex]a = -2[/tex]
Step-by-step explanation:
Given
The attached function (graph)
Required
Find a
The given function is quadratic and will be solved using:
[tex]y = ax^2 + bx + c[/tex]
From the attachment:
[tex](x,y) = (-3,4)[/tex]
[tex](x,y) = (-2,2)[/tex]
[tex](x,y) = (-4,2)[/tex]
Substitute these values in [tex]y = ax^2 + bx + c[/tex]
For: [tex](x,y) = (-3,4)[/tex]
[tex]4 = a(-3)^2 + b(-3) + c[/tex]
[tex]4 = 9a -3b + c[/tex]
For: [tex](x,y) = (-2,2)[/tex]
[tex]2 = a(-2)^2 + b(-2) + c[/tex]
[tex]2 = 4a -2b + c[/tex]
For: [tex](x,y) = (-4,2)[/tex]
[tex]2 = a(-4)^2 + b(-4) + c[/tex]
[tex]2 = 16a -4b + c[/tex]
So, we have:
[tex]4 = 9a -3b + c[/tex] --- (1)
[tex]2 = 4a -2b + c[/tex] ---- (2)
[tex]2 = 16a -4b + c[/tex] --- (3)
Make c the subject in (1)
[tex]c = 4 - 9a + 3b[/tex]
Substitute [tex]c = 4 - 9a + 3b[/tex] in (2) and (3)
[tex]2 = 4a -2b + c[/tex]
[tex]2 = 4a -2b + 4 - 9a + 3b[/tex]
Collect Like Terms
[tex]-4 + 2 = 4a - 9a-2b + 3b[/tex]
[tex]-2 = - 5a+b[/tex] --- (4)
[tex]2 = 16a -4b + c[/tex]
[tex]2 = 16a - 4b + 4 - 9a + 3b[/tex]
Collect Like Terms
[tex]2 -4 = 16a - 9a + 3b- 4b[/tex]
[tex]-2 = 7a -b[/tex] --- (5)
Add 4 and 5
[tex]-2 = - 5a+b[/tex]
[tex]-2 = 7a -b[/tex]
--------------------------
[tex]-2 - 2 = -5a + 7a +b - b[/tex]
[tex]-4 = 2a[/tex]
Divide through by 2
[tex]-2 = a[/tex]
[tex]a = -2[/tex]