Verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C.
Answers
Answer:
hello your question is incomplete below is the complete question
verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??
answer : attached below
Step-by-step explanation:
Attached below is the required verification of the conclusion of Green's Theorem
In the attached solution I have proven that Green's theorem ( ∫∫c F.Dr ) .
i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2
Related Questions
(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answers
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
what is the distance between (8,-3) and (4,-7)
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..I have tried
I don't know it is correct or not
hope it is helpful to you
Answer:
My sister has given correct answerWhat is the factored form of 30x2 - 25x -30?
Answers
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
30x2 - 25x -30 Factoring
Step 2
30x2 - 25x -30 factor out the equation
5(3x+2)(2x-3)
Step 3
5(3x+2)(2x-3) Check by simplifying
When you check, you will get the question back
Answer
5(3x+2)(2x-3)
Hope this helps
Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.
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Answer:
28 hours
Step-by-step explanation:
Von de som en bona pays 1. West End the stor 10 years when it is
The balance after 10 years is $
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Answer:
10$
Step-by-step explanation:
Find the area of the shade region.round to the nearest tenth
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Answer:
189.25
Step-by-step explanation:
first you find the area of the entire circle which is π times (14.5) squared so 210.25π. then you find the triangle which is 1/2 20×21= 21 then subtract 210.25π by 21= 189.25
Answer:
450.5 in²
Step-by-step explanation:
The area of the triangle
= (20×21)/2
= 210 in²
The hypotenuse of the triangle
=[tex] \sqrt{ {20}^{2} + {21}^{2} } [/tex]
=[tex] \sqrt{400 + 441} [/tex]
=[tex] \sqrt{841} [/tex]
= 29 in
The hypotenuse of the triangle (29 in)
= the diameter of the circle
The formula of area of a circle= πr²
The radius of the circle
= 29÷2
= 14.5 in
The area of the circle
= π × 14.5²
= 660.5 in² (rounded to the nearest tenth)
The area of the shaded region
= 660.5 - 210
= 450.5 in²
A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Find the value of the test statistic. Round to two decimal places.
A. Z= - 1.20
B. Z= -2.55
C. Z= -1.05
D. Z= -0.85
Answers
Answer:
B. Z= -2.55
Step-by-step explanation:
To solve this question, first we need to understand the central limit theroem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of normal variables:
When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
11 of 50 men believe that sexual discrimination is a problem:
This means that:
[tex]p_M = \frac{11}{50} = 0.22, s_M = \sqrt{\frac{0.22*0.78}{50}} = 0.0586[/tex]
19 of 40 women believe that sexual discrimination is a problem:
This means what:
[tex]p_W = \frac{19}{40} = 0.475, s_W = \sqrt{\frac{0.475*0.525}{40}} = 0.079[/tex]
Difference between the proportion of men and women:
[tex]p_D = p_M - p_W = 0.22 - 0.475 = -0.255[/tex]
[tex]s_D = \sqrt{s_M^2+s_W^2} = \sqrt{0.0586^2+0.079^2} = 0.0984[/tex]
A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.
This means that the null hypothesis is that they do not differ, than is, the difference is 0. So
[tex]H_0: p_D = 0[/tex]
At the alternate hypothesis, we test that they differ, that is, the difference is different of 0. So
[tex]H_a: p_D \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
For the sample, we calculated that:
[tex]X = -0.255, s = 0.0984[/tex]
The value of the test-statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.255 - 0}{0.0984}[/tex]
[tex]z = -2.59[/tex]
Closes answer is Z = -2.55, option B.
factorise the following binomial expression 2m+8m^2h
Answers
The GCF is 2m, so you would factor that out of the equation.
I hope my answer helps!
Write 53 minutes to 4 hours as a ratio.
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Answer:
The minutes wouldn't it be hours?
Step-by-step explanation:
Answer:
53:240
Step-by-step explanation:
Turn the hours into minutes since the minutes can't change to hours.
Scale factor of 3 and 6
Answers
Answer:
3:6
3x2=6
Scale factor = 2
Step-by-step explanation:
Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT?
Question 7 options:
A)
m∠RST = m∠QRT – m∠QRS
B)
m∠QRT = m∠RST – m∠QRS
C)
m∠QRS = m∠RST – m∠QRT
D)
m∠QRS = m∠RST
Answers
*HELP GIVING BRAINLIEST**
14. The table shows the survey results of exercises
people do regularly.
Which is based on the table
Answers
Answer:
A, B, and E are the correct options.
Step-by-step explanation:
You can see by the table shown, 12+25 people biked (37). The total of people that were surveyed would be 55 (the bottom right of the graph). Twelve people run but don't bike (down the first column to the left). Just follow the graph and you've got your answers!
What is the solution to the equation -x^3-4=0.5x^2+x+4
Answers
Answer:
x = −2
Step-by-step explanation:
the steps are super long but this is the answer
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answers
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
Not if this correct????
Answers
Step-by-step explanation:
(o, -2) is the correct answer because in -90°
P [x,y] =P' [y,-x ]
hope it is helpful to you
The table below represents students' favorite skittle color.
Using the table above, what is P( Boy|Green)?
6/17
4/17
2/3
3/20
Answers
Answer:
6/17
Step-by-step explanation:
number of boys who like green over total number of boys :
[tex] \frac{12}{34?} [/tex]
6/17
What is the slope of the line given by the equation y=-3X?
Answers
Answer:
The slope is -3
Step-by-step explanation:
y=mx+b
m=slope
m=-3
slope=-3
hope this helps!
Which of the following functions has a line of symmetry of x = 2?
y = (x - 2)2 + 5
y = (x + 2)2 - 5
y = (x - 5)2 + 2
y = (x + 5)2 - 2
Answers
1. Write the point-slope form of the equation of the line with a slope of 2 that
goes through the point (4,-4).
Answers
Answer:
y+4=2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-4)
y+4=2(x-4) point slope form
Find the measure of an arc formed by 1 slice of pizza
Answers
What is the volume of the figure? Enter the answer in the box
Answers
Answer:
896
Step-by-step explanation:
Answer:
(10 × 4 × 18) + ( 9 × 10 × 9 ) = 1530
Can you please help me I will give you 10 points if you do
Answers
Answer:
A=-1, B=2
Step-by-step explanation:
A is between -2 and 0, which is -1, and B is between 1 and 3, which is 2
I need help please no links I will report
Answers
Answer: $1.45
Step-by-step explanation:
We start by subtracting the change from how much she payed for.
d = dollars | g = goldfish
[tex]16d - 0.05d = 15.95d[/tex]
Then we divide by the goldfish
[tex]\frac{15.95d}{11g} = 1.45d[/tex]
Our answer is 1.45!
Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.
In January, Mrs. Jones’s business had expenses that totaled $2,500. Based on the information in the graph, how much money did Mrs. Jones spend on marketing in January?
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Answer:
$375
Step-by-step explanation:
please help me.......
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Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Let's use CAH 1st , on the Lenovo building, b/c we have they Hypotenuse (Hyp) and an angle and we want to know the other side of the Lenovo building
Cos(30) = x/294
294*Cos(30) = x
254.611 = x
Sin(30) = y / 294
294*Sin(30) = y
147 = y
perimeter = 147+254.611+294
perimeter Lenovo = 695.611 feet
For Asus building
hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 + 144.5*[tex]\sqrt{2}[/tex])^2 )]
hyp = 289
perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]
perimeter Asus = 697.7077
The difference of the two buildings is
697.7077 - 695.611 =2.09671 feet
the difference is 2.10 feet ( rounded to nearest 100th)
1. What is the m 2 in this parallelogram?
a) 115
b) 50
C) 15
d) 2
( IF I CAN ANSWER BOTH PLS DO )
Answers
Answer:
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}: [/tex]
[tex] \large{ \tt{ \angle \: DAC = \angle ACB = 50 \degree }}[/tex] { Since AD [tex] \parallel[/tex] BC & Being alternate angle }♨ [tex] \large{ \tt{ In \: \triangle \: ABC : }}[/tex]
[tex] \large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}[/tex] { Sum of angles of a triangle }
⇾ [tex] \large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree[/tex]
⇾ [tex] \large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}[/tex]
⇾ [tex] \large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}[/tex]
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}: [/tex]
♨ [tex] \large{ \tt{3x = 12}}[/tex] { Since the diagonals of parallelogram bisect each other }
⟶ [tex] \large{ \tt{x = \frac{12}{3}}} [/tex]
⟶ [tex] \large{ \boxed{ \tt{x = 4}}}[/tex]
Q. Can we set up an equation 2x = 8 in question number 2 ?
Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.
Hope I helped! ♡
Have a wonderful day / night ! ツ
[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
C. 15
D. 4
Step-by-step explanation:
Hope this helps
Solve for the missing side of this right triangle.
24 mi
16 mi.
Answers
Answer:
384
Step-by-step explanation:
I just went to my calculator and did 24×16 and I got 384
Stuck on this question. Any help?
Answers
Answer:
no 5 7 6
Step-by-step explanation:
PLZ HELP THIS IS DUE TODAY AND PLZ NO LINKS
Answers
Answer:
A. Stripped of things that cause pollutions
Step-by-step explanation:
You can find this in the last section 3rd sentence
An inequality is two expressions that are
NOT equal, unlike an equation.
True
False