Since S is closed, you can use the divergence theorem, which says
[tex]\displaystyle\iint_S \vec F(x,y,z) \cdot \mathrm d\vec S=\iiint_R \mathrm{div}\vec F(x,y,z)\,\mathrm dV[/tex]
where R is the interior of the surface S.
We have
div F (x, y, z) = ∂/∂x (0) + ∂/∂y (y) + ∂/∂z (-z) = 1 - 1 = 0
so the flux would be 0.
In this exercise we have to calculate the flux by the divergent theorem:
The flux would be ZERO
Since S is closed, you can use the divergence theorem, which says:
[tex]\int\limits\int\limits_s {F(x,y,z} \, ds= \int\limits \int\limits\int\limits_R {divF(x, y, z)} \, dv[/tex]
where R is the interior of the surface S. We have:
[tex]\nabla F (x, y, z) = 1-1= 0[/tex]
so the flux would be ZERO.
See more about vectorial calculus at : brainly.com/question/6960786
Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?
•10.0
•13.4
•17.1
•21.6
Answer:
B. 17.1
Step-by-step explanation:
Edge 2020. Hope this helps.
The magnitude of 2(u-v +w) is √292.
The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.
We need to find the value of 2(u-v+w).
How to find the magnitude of vector?The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.
Now, 2(2i + 3j-(-i)+5i-6j)
=2(2i+3j+i+5i-6j)
=2(8i-3j)=16i-6j
The magnitude of 16i-6j=√16²+6²=√256+36=√292
Therefore, the magnitude of 2(u-v +w) is √292.
To learn more about the magnitude of vectors visit:
https://brainly.com/question/24256726.
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-a^2b^2c^2(a+b-c) find the product
Answer:
-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3
I hope it will be useful.
Help Please I really need help!
0.3, 0.08, 0.003, 0.83
In order from smallest to largest
Answer:
0.003, 0.08, 0.3, 0.83
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?
Answer: The required three consecutive odd integers are 7, 9 , 11.
Step-by-step explanation:
Let x , x+2 , x+4 be the three consecutive odd integers.
As per given ,
10(x) = 59+x+4
⇒10x= 59+x+4
⇒ 9x= 63
⇒ x= 7 [ divide both sides by 7]
Hence, the required three consecutive odd integers are 7, 9 , 11.
Write the standard form of the line that has a slope of −3/4 and y-intercept of −2. Include your work in your final answer.
The triangles below are congruent and their corresponding parts are marked
∠A ≅ ∠Z
you can determine this by seeing that both angles have two curved lines, therefor showing they have the same measurement.
∠B ≅ ∠Y
you can also determine this by seeing that they both have one curved line showing that they share the same measurement.
∠C ≅ ∠X
once again, you can determine this by seeing that both angles are marked with three curved lines, meaning they share the same measurements.
line AB ≅ line ZY
just like before, you can determine that they are equivalent to each other by seeing that both lines have three dashes showing that they have the same measurement.
line AC ≅ line ZX
you can determine these lines are equivalent because they both have one dash showing they are the same length as each other.
line BC ≅ line YX
once again, both lines have two dashes, showing that they are equivalent in length.
ΔCAB ≅ XZY
you can determine this by seeing that all three angles and all three sides on both triangles share measurements with the other triangle
Please I need help and I give brainliest thank you!!
Answer:
i believe it is x=4
Step-by-step explanation:
10x+7=12x-1
7=12x−1−10x
8=2x
divide
x=4
Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19
Find the area of the parallelogram.
Answer:
Step-by-step explanation:
Area of parallelogram = base * height
= 3 * 3
= 9 square units
Find the equation of the tangent line to y=sinx at x=2pie
Answer:
y = x - 2π
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopePre-Calculus
Unit CircleCalculus
The definition of a derivative is the slope of the tangent line.
Derivatives of Trig Functions
sin(x) = cos(x)cos(x) = -sin(x)tan(x) = sec²(x)sec(x) = sec(x)tan(x)csc(x) = -csc(x)cot(x)cot(x) = -csc²(x)Step-by-step explanation:
Step 1: Define
y = sinx
x = 2π
Step 2: Find Derivative
Take derivative: y' = cosxThis is the function of the tangent line for y.
Step 3: Find slope
Substitute in x into y': y'(2π) = cos2πEvaluate: y'(2π) = 1This tells us that the slope of the tangent line is 1 at x = 2π.
Step 4: Write equation
Find a point.
Substitute x into y: y(2π) = sin2πEvaluate: y(2π) = 0Write coordinate: (2π, 0)Write tangent function.
Substitute: y - 0 = 1(x - 2π)Simplify: y = x - 2πThis is the equation of the tangent line at x = 2π.
The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5
Answer:
y = -2x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
y-intercept b = 5
Slope m = -2
Step 2: Write function
y = -2x + 5
Please help!
Thanks in advance.
Answer:
y = (1/4)x + 5/2
Step-by-step explanation:
The lines slope needs to be opposite of the equation's so its positive (1/4)
This is the only slope listed that is that number so no need to calculate for the y value!
List all sets that -1/3 belongs to.
Answer:
dfffffffff
Step-by-step explanation:
xcdsw23456iu76
if a coin is flipped 3 times, how likely are you to get tails 3 times in a row
Answer:
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
Step-by-step explanation:
Math problem pls help I will give brainiest
Answer:
y=5
Step-by-step explanation:
125 +125+13y+9y=360
punch it into math-way.
250+22y=360
22y= 110
y=5
the first six multiples of 6
PLEASEEEE HELPPP MEEE :(
Answer:
Question 5 is B
Because after I simplified I got B and its the only one that makes sense.
What Is 55 > -7x + 6 ?
Answer:
x>−7
Step-by-step explanation:
55−6>−7x
49>−7x
−
7
49
<x
−7<x
x>−7
Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?
Earl runs 1.5 meters per second.................
One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answer:
She runs 6 miles in total.
4. Verify that the functions fand g are inverses of each other by showing that
f(g(x)) = x and g(f(x)) = x.
F(x)=2x-3/x+4
g(x) = 3+4x/2-x
Answer and step-by-step explanation:
We just have to apply one function in the other one. See:
→ f(g(x)):
[tex]f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}[/tex]
→ g(f(x)):
[tex]g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}[/tex]
What verifies that f and g are inverses of each other.
Q.E.D.
Write the slope intercept form of the equation of the line through the given point with the given slope
Through: (-2,1), slope = -3
if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use
Answer:
wat
Step-by-step explanation:
QUESTION 4 of 10: Market researchers often report discretionary income. Discretionary income is your disposable income minus your fixed
expenses. Your disposable income is $2,920. After you pay fixed expenses of rent, utilities, groceries, and a car payment, you have $900.
What percentage of your disposable income is discretionary?
a) 18%
b) 31%
c) 45%
d) 69%
Answer:31
Step-by-step explanation:
Answer:
b) 31 %
Step-by-step explanation:
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answer:
The answer is 36m.
Step-by-step explanation:
So, first of all, you need to remember that the formula for the area of a square is x^2, or one side multiplied by another side. Also recall that in a square all sides are equal. This means that x^2=81. Now, the square root of 81 equals 9 (you should have this memorized by now). So, if each side of the square is 9, and there are 4 sides, the perimeter would be 9*4, which is 36m.
50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?
Answer:
66
Step-by-step explanation:
50% = 1/2
33 x 2 = 66
A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?
Answer:
28
Step-by-step explanation:
F=2.25+0.20(m-1)
7.65=2.25+0.20(m-1)
5.4=0.20(m-1)
5.4/0.20=0.20(m-1)/0.20
27=m-1
28=m
a pump can fill 2400 litres an hour and its replacement model can fill 2.5% more, how man litters an hour can the new model fill
Answer:
2,460 liters per hour
Step-by-Step Explanation:
The problem above requires only two operations: multiplication and addition. First, you have to answer this question: How much is 2.5% of 2,400 liters?"
You may do this by multiplying 2,400 by 2.5%.
2,400 x 2.5% (0.025) = 60 liters (this is the amount that the new model can fill more than old model).
Then, you have to add 60 liters to 2,400 liters.
2,400 liters + 60 liters = 2,460 liters
This means that the new model can fill 2,460 liters per hour.
Need help will mark Brainliest
Assuming the triangle adds up to 180°, x = 55 because 55 + 5 = 60. 60 x 3 = 180