Can somebody please help me
Answer:
1:90
2:70
3:70
4:30
Source:trust me bro
Use the Divergence Theorem to calculate the surface integral
S
F · dS;
that is, calculate the flux of F across S.
F(x, y, z) = x2yi + xy2j + 3xyzk,
S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and
x + 4y + z = 4.
Answer:
[tex]\frac{56}{15}[/tex]
Step-by-step explanation:
Given that [tex]\vec F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k[/tex]
F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k
The flux of \vec F across the surface S is given by
[tex]\int \int _s \vec F \cdot dS[/tex]
Where the survare S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and x + 4y + z = 4.
Now, by using the Gauss Divergence theorem:
[tex]\int \int _s \vec{F} \cdot dS=\int \int \int _v \bigtriangledown \cdot \vec F dV[/tex]...(i)
where V is the volume enclosed by the surface S and [tex]dV=dxdydz[/tex]
\bigtriangledown \cdot \vec F = \hat i \frac {\partial \vec F}{\partial x}+\hat j \frac {\partial \vec F}{\partial y}+\hat k \frac {\partial \vec F}{\partial z}
=2xy+2xy+3xy=7xy
Putting this value in equation (i), we have
\int \int \int _v \bigtriangledown \cdot \vec F dV = \int \int \int _v (7xy)dxdydz
= [tex]7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} \left( \int_{z=0}^{z=4-x-4y}xy\;dz\right)dxdy[/tex]
[tex]=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} xy(4-x-4y-0)dxdy \\\\=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y}(4xy-x^2y-4xy^2)dxdy \\\\=7\int_{y=0}^{y=1} (2x^2y-\frac 1 3 x^3y-2 x^2y^2)|_{x=0}^{x=4-4y}dy \\\\[/tex]
[tex]=7\int_{y=0}^{y=1} (2(4-4y)^2y-\frac 1 3 (4-4y)^3y-2 (4-4y)^2y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} (32(1-y)^2y-\frac {64}{3} (1-y)^3y-32(1-y)^2y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} (32(1-2y+y^2)y-\frac {64}{3} (1-y^3-3y+3y^2)y-32(1-2y+y^2)y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} \{32(y-2y^2+y^3)-\frac {64}{3} (y-y^4-3y^2+3y^3)-32(y^2-2y^3+y^4)\}dy[/tex]
[tex]=7 \{32(\frac 1 2 y^2- \frac 2 3 y^3+\frac 1 4 y^3)-\frac {64}{3} (\frac 1 2 y^2-\frac 1 5 y^5-y^3+\frac 3 4 y^4)-32(\frac 1 3 y^3-\frac 1 2 y^4+\frac 1 5 y^5)\} |_{y=0}^{y=1}[/tex]
[tex]=7 \{32(\frac 1 2 - \frac 2 3 +\frac 1 4 )-\frac {64}{3} (\frac 1 2 -\frac 1 5 -1+\frac 3 4 )-32(\frac 1 3 -\frac 1 2 +\frac 1 5 )\}[/tex]
[tex]=7\times \frac {8}{15} \\\\=\frac{56}{15}[/tex]
Hence, the flux of F across S is [tex]\frac{56}{15}[/tex].
20 points!!!! It’s not d can someone help me?
Answer:
Iits c
Step-by-step explanation:
I sure i did it
Some one help me please
Answer:
I think it would be a
Step-by-step explanation:
I think it would be a because when you divide by a negative number the sign flips
Find the mean, median, mode, and range of the following data.
10, 20, 30, 15, 90, 80, 35, 30, 25, 15, 60, 75, 80, 30, 45, 35, 95, 80, 80, 25, 15
Mean (average) - add all numbers up and divided by the number of addends
Mean = 46.19047619 (50)
Median - arrange numbers in numerical order, and find the one in the middle
Median = 35
Mode - number that appears the mode
Mode = 80
Range - difference between biggest and smallest number
Range = 80
~theLocoCoco
35% of 80 is what?
Helppppppppp
Answer:
Its 28.
Step-by-step explanation:
Answer:
Its 28
Step-by-step explanation:
1. Write 35% as 35100.
2. 35100 of 80 = 35100 × 80.
3. Therefore, the answer is 28. If you are using a calculator, simply enter 35÷100×80 which will give you 28 as the answer.
plz brainlist if i helped
Simplify the expression: 2(3 + 10u) =
Use the translation rule (x, y) (x - 2y 7) to find the image of F(-2, 6)
Answer:
Use photomath and look at each step! Sorry I would help but I’m bad at math.
Step-by-step explanation:
Help please !!! ASAP
3 goes 1, 4 goes 2, 1 goes 3 and 2 goes last
Help please
- 1/2 (2-2x) + 3
Sasha made cups of lemonade to sell at her stand. She sold 9 cups of lemonade in the first hour. For each hour after that, she sold five cups. She was outside for a total of 4 hours. How many cups of lemonade did she sell?
Answer:
first hour=9 cups
the next three hours,five cups each=15 cups
15+9=24 cups
The value of n is a distance of 3 units from 1 1/2 on a number line.
Click on the number line to show the possible values of n.
Answer:
1 1/2
Step-by-step explanation:
Since n is 3 units from 1 1/2 you would subtract 3 - 1 1/2 to find how much more n is from 1 1/2 to get to 3. Hope this helps! :)
Answer:
1 and 3 would be correct
Step-by-step explanation:
Express scientific notation (9.6 × 10^3) × (6.7 × 10^3)
Answer:
i got 6432
Step-by-step explanation:
i just put it in to my calculator
Chandre's mom has a budget of at most $250 for Chandre's birthday
party. She wants to rent the skating rink and invite as many friends as
possible. The skating rink charges $100 for a 3-hour party plus $12 for
each guest to rent skates and get a pizza combo from the concession
stand. How many guests can Chandre invite and stay within her mom's
budget?
Answer:
1
Step-by-step explanation:
1 person cost $112. 2 people cost $224. Chandre is one person already making room only for 1 other friend.
What’s 1/2 divided by 6 plz help
Answer:
3
Step-by-step explanation:
Because .5÷6=3
and .5 is 1/2 as a decimal
GIVEAWAY TO GET 100 POINTS + BRIANLIEST IF YOU ANSWER WHATS 9+10 B)
Answer:
uhhh 21
Step-by-step explanation:
19
bölenin 8,bölümün 68 olduğu bir bölme işleminde bölünen sayı en fazla kaç olur
Cevap:
68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5
Hii. if Lisa was going 9.2 miles from the store to her friends house then 7.9 to her grandmas house before going 5 miles to her house how far did she travel?
Answer:
¹9.2
+7.9
¹ 17.1
+5.0
22.1
21.1 miles
A coach is ordering shirts for a team.
The coach pays a one-time fee of $19.99.
The coach also pays $7.50 for each shirt ordered.
Which function can be used to find C, the total amount a coach pays in dollars when s shirts are ordered?
In 2016, the mean score on the AP Biology exam was 3.10, with a standard deviation of 1.05. The mean score on the AP US History exam was a 2.74, with a standard deviation of 1.42. What is the combined mean and standard deviation for these exams
Answer:
the combined mean and standard deviation for these exams are
mean = 5.84
standard deviation = 1.766
Step-by-step explanation:
Given that;
mean score and standard deviation of AP biology was;
x'1 = 3.10, S1 = 1.05
mean score and standard deviation of AP US History was;
x'2 = 2.74, S1 = 1.42
Now combined mean = x'1 + x'2 = 3.10 + 2.74 = 5.84
standard deviation combined = √( S1² + S2²)
= √( (1.05²) + (1.42)²)
= √( 1.1025 + 2.0164)
= √3.1189
= 1.766
Therefore
the combined mean and standard deviation for these exams are
mean = 5.84
standard deviation = 1.766
I need help pls Simplify 6y+9+3y-7
Answer:
9y+2
Step-by-step explanation:
Sal set a timer for eight minutes when he put the frozen pizza in the oven. when the timer went off the pizza was not done yet so he left it in the oven to continue cooking which number line shows the amount of time in minutes the pizza they have been in the oven?
Answer:
the zero to eight as I think
Tony has 5 goats, 12 pigs, and 26 chickens on his farm. Write the ratio of
chickens to pigs in three ways.
Answer:
26:12, 26/12, 26 for every 12
Step-by-step explanation:
Can you guys answer both of these questions
Answer:
2+18
Step-by-step explanation:5+123
Ms. Thorson bought a board that was 14 feet long. She cuts off as many pieces as possible that are 9 inches long. What is the length, in inches, of the board that remains?
Question:
Ms. Thorson bought a board that was 14 feet long. She cuts off as many pieces as possible that are 9 inches long. What is the length, in inches, of the board that remains?
Answer: 6 inches
Step-by-step explanation:
So we know that 14 ft. Is 168 in. all we have to do now is divide.
9/168=18R6
Number of 9 inch pieces possible is 18.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers
Given,
length of the board = 14 feet
1 feet = 12 inches
14 feet = 168 inches
Length of the piece = 9 feet
Number of pieces cut from board
= 168/9
= 18.67
Number of 9inch pieces = 18
Hence, 18 is the number of pieces that are 9 inches long.
Learn more about division here:
https://brainly.com/question/7725040
#SPJ3
Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family holiday party. How many
quarts of punch will Sally have for her party?
O 32 quarts
O 52 quarts
O 36 quarts
12 quarts
1. John looked on a map to find the distance he would be driving from Austin to New York.
The distance on the map was 580 cm. If the scale for the map was lcm = 3.1 miles, what is
the actual distance between these two places in miles?
A 17,980 miles
B. 179.8 miles
C. 1,1798 miles
D. Not Here
Answer:
580×3.1 =17980 miles is answer
3x + 1 = 3(x - 1) + 4
Simplifying
3x + 1 = 3[x + -1] + 4
Reorder the terms:
1 + 3x = 3[x + -1] + 4
Reorder the terms:
1 + 3x = 3[-1 + x] + 4
1 + 3x = [-1 * 3 + x * 3] + 4
1 + 3x = [-3 + 3x] + 4
Reorder the terms:
1 + 3x = -3 + 4 + 3x
Combine like terms: -3 + 4 = 1
1 + 3x = 1 + 3x
Add '-1' to each side of the equation.
1 + -1 + 3x = 1 + -1 + 3x
Combine like terms: 1 + -1 = 0
0 + 3x = 1 + -1 + 3x
3x = 1 + -1 + 3x
Combine like terms: 1 + -1 = 0
3x = 0 + 3x
3x = 3x
Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 0
This equation is an identity, all real numbers are solutions.
What is 1/3 divide by 1/4?
Answer:
1 1/3
Step-by-step explanation:
1/3 divided by 1/4 =
1/3 x 4/1 = 4/3
1 1/3
The rule Rx-axis o is applied to the point (-3,-2). Where is the image in the coordinate
Answer:
[tex]Image = (-3,2)[/tex]
Step-by-step explanation:
Given
[tex]Point = (-3,-2)[/tex]
Transformation = Rx-axis
Required
Determine the image
When rule Rx-axis is applied to a point (x,y),
The new coordinate point is (x,-y)
In other words, the y coordinate is negated
So, when rule Rx-axis is applied to
[tex]Point = (-3,-2)[/tex]
The image of the point is
[tex]Image = (-3,-(-2))[/tex]
[tex]Image = (-3,2)[/tex]