Let C be the positively oriented square with vertices (0,0), (3,0), (3,3), (0,3). Use Green's Theorem to evaluate the line integral
∫C 8y^2 x dx + 6x^2 y dy
Answers
Let D denote the region whose boundary is C. By Green's theorem,
\(\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}\)
Related Questions
If anyone sees this can they help me out?
The table shows the heights and the maximum speeds for various roller coasters throughout the world
Which value is closest to the linear correlation coefficient for the data?
A) 0.483
B) 0.205
C) 0.420
D) 0.695
Answers
The value that is closest to the linear correlation coefficient for the data include the following: D) 0.695.
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the heights would be plotted on the x-axis of the scatter plot while the maximum speeds would be plotted on the y-axis of the scatter plot.
From the scatter plot (see attachment) which models the relationship between the heights and the maximum speeds, a linear equation for the line of best fit and correlation coefficient are as follows:
Equation: y = 0.205x + 33.42
Correlation coefficient, r = 0.695.
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A factory worker can package 150 games in 15 minutes. How many games can he package per minute
Answers
The zeros of the equation x^2 – 7 x – 8 = 0 are ?
Answers
can i get factors of 256
Answers
Step-by-step explanation:
Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Hope it will help :)❤
Here the answer hope this helps:
factors of 256 are.... 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Step-by-step explanation:
hope this helps
What would need to be used to show the triangles are congruent by AAS?
A: Nothing as the triangles can not be proved congruent by AAS.
B: Angles are congruent by vertical
angles.
C: Sides are congruent by the
reflexive property.
D: Angles are congruent by the
reflexive property.
Answers
Triangles are shown to be congruent by the statement that "Angles are congruent by vertical angles."
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Given two triangles, Where the base of these triangles are same
And also given that the two angles are the same.
Since,
Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).
Thus, the third angle is also equal
From AAS:
AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent
Therefore. "Angles are congruent by vertical angles" is used to show the triangles are congruent by AAS,
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for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
Answers
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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Please help me in these pictures math.com
Answers
What is the value of the expression
6
3
4
(
−
11.5
)
?
A.
77
5
8
B.
69
3
4
C.
−
77
5
8
D.
−
69
3
4
Answers
hindsight and then you can you please go see me a few minutes away for my birthday bye day and then go see my doctor tomorrow and get a call
Answer:
Multiply
634 by − 11.5 =− 7291
Step-by-step explanation:
that's the answer
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 21 feet
more than the length of the shortest side. Find the dimensions if the perimeter is 121 feet.
What is the length of the shortest side?
The length of the shortest side is
Answers
Answer: 25 ft
Step-by-step explanation:
Let the shortest side be s. Then, the other two sides are 2s and s+21.
\(s+2s+s+21=121\\\\4s+21=121\\\\4s=100\\\\s=25\)
5.11.
A manufacturing process produces 500 parts per hour. A sample part is selected about every half hour, and after five parts are obtained, the average of these five measurements is plotted on an x control chart.
(a) Is this an appropriate sampling scheme if the assignable cause in the process results in an instantaneous upward shift in the mean that is of very short duration?
(b) If your answer is no, propose an alternative procedure. If your answer is yes, justify.
5.12.
Consider the sampling scheme proposed in Exercise 5.11. Is this scheme appropriate if the assignable cause results in a slow, prolonged upward drift in the mean? If your answer is no, propose an alternative procedure.
Answers
Answer:
Following are the response to the given points:
Step-by-step explanation:
For question 5.11:
For point a:
For all the particular circumstances, it was not an appropriate sampling strategy as each normal distribution acquired is at a minimum of 30(5) = 150 or 2.5 hours for a time. Its point is not absolutely fair if it exhibits any spike change for roughly 10 minutes.
For point b:
The problem would be that the process can transition to an in the state in less than half an hour and return to in the state. Thus, each subgroup is a biased selection of the whole element created over the last \(2 \frac{1}{2}\) hours. Another sampling approach is a group.
For question 5.12:
This production method creates 500 pieces each day. A sampling section is selected every half an hour, and the average of five dimensions can be seen in a \(\bar{x}\)line graph when 5 parts were achieved.
This is not an appropriate sampling method if the assigned reason leads to a sluggish, prolonged uplift. The difficulty would be that gradual or longer upward drift in the procedure takes or less half an hour then returns to a controlled state. Suppose that a shift of both the detectable size will last hours \(2 \frac{1}{2}\) . An alternative type of analysis should be a random sample of five consecutive pieces created every \(2 \frac{1}{2}\) hour.
Suppose the probability that a US resident has traveled to Canada is 0.12, to Mexico is 0.20, and to both
countries is 0.04. Round your answers to two decimal places. (11 pts)
a) Create a Venn diagram for the scenario above.
What is the probability that a US resident chosen at random has traveled to Canada but not Mexico?
c) What is the probability that a US resident chosen at random has traveled to Canada or Mexico?
d) What is the probability that a US resident chosen at random has not traveled to either Canada or
Mexico?
e) What is the probability that a US resident chosen at random has traveled to Mexico given they have
traveled to Canada?
Answers
Answer:
a is what I have for your answer
find the solution to the following equation
3X+5X/x+2=5x
Answers
Answer:
x=7/2
Step-by-step explanation:
A pole that is 3m tall casts a shadow that is 1.17 m long. At the same time, a nearby tower casts a shadow that is 45.5 long. How tall is the tower? Round your answer to the nearest meter.
Answers
The proportion is solved and the height of the tower is H = 117 m
Given data ,
A pole that is 3m tall casts a shadow that is 1.17 m long
And , a nearby tower casts a shadow that is 45.5m long
So , the proportion is given by
Let the height of the tower be H
And , 3 / 1.17 = H / 45.5
On simplifying the equation , we get
Multiply by 45.5 on both sides , we get
H = 116.6667 m
H = 117 m
Hence , the height of the tower is H = 117 m
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Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.6 × 105 words.
Answers
Time taken by Samuel to type 40 words= 1 minute
Therefore, Time taken by him to type (2.6*105) 273 words= 273/40= 6.825 minutes
ANSWER:
He would take 6.825 minutes to type 2.6*105 words.
Hope it helps u!
The plane is perpendicular to the axis but does not go through the vertex.
The plane intersects the double cone at only the vertex.
The plane is not intersecting the vertex, not parallel to the axis, not perpendicular to the axis, not parallel to the side of the cone, and it intersects only one cone.
The plane is tangent to both of the cones.
answers:
line
point
circle
elipse
match these
Answers
The plane is perpendicular to the axis but does not go through the vertex. The plane intersects the double cone at only the vertex is ellipse.
What is an ellipse ?A planar curve with two focal points is called an ellipse if at every point on the curve the sum of the two distances from the focal points is constant. It generalises the shape of a circle, a unique variety of ellipse in which the two focus points coincide.The plane is not intersecting the vertex, not parallel to the axis, not perpendicular to the axis, not parallel to the side of the cone, and it intersects only one cone is circle.A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.To learn more about ellipse refer :
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Lisa thought of a number. She added to it another number, which
was 9 less than her number. The result was 5. What was Lisa’s
number?
Answers
Answer:
x = 7
Step-by-step explanation:
x + x - 9 = 5
2x = 14
Answer: Her number is 7
Explanation: 7+(-2)=5
Heather made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads
cost a total of $12.40, how much did each pendant cost?
Answers
Answer:
$2.80
Step-by-step explanation:
23.60 - 12.40 = 11.2
11.2 ÷ 4 = 2.80
$2.80
Points X( -6, -4), Y( -2, -8), Z( 2,-4) are the vertices of a right triangle. What is the area of XYZ? Round to the nearest tenth.
Answers
Answer:
16
Step-by-step explanation:
distance between point x and z is 8 units
distance between point z and y is 4 units
8 * 4 = 32
formula for area of a triangle (l * w)/2
plugin: (8 * 4)/2 = 16
We know that the average IQ of everyone in the United States is 100. We randomly select 10 people and observe that their average IQ is 105. a. The value of 105 is a et of red b. The value of 100 is a
Answers
The answer is (a)The value of 105 is an observed statistic. (b) The value of 100 is a population parameter.
The value of 105 is the average IQ of the 10 randomly selected people, which is an observed statistic. The value of 100 is the average IQ of the entire population of the United States, which is a population parameter.
Observed statistics are actual values collected from a sample of data. These are numeric descriptions of the data set, such as B. Mean and median. The observed statistics are used to draw inferences about the characteristics of the population.
The population parameter is a numerical measure of population used to describe it. It is usually estimated by collecting data from a sample of the population and calculating the statistic. Examples of population parameters are mean, median, mode, variance, and standard deviation.
Full question:
We know that the average IQ of everyone in the
United States is 100. We randomly select 10 people
and observe that their average IQ is 105.
a. The value of 105 is a ____________.
b. The value of 100 is a ____________.
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please help me with this
Answers
Answer:
F
Step-by-step explanation:
64x³ = -1
x³ = -1/64
x = ∛-1/∛64
x = -1/4
Answer:
x = - \(\frac{1}{4}\)
Step-by-step explanation:
64x³+1=0
Add 1 to both sides:
64x³=-1
Divide both sides by 64:
x³=-\(\frac{1}{64}\)
Find cubed root of both sides:
x=-\(\sqrt[3]{\frac{1}{64}}\)
Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :
x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)
Evaluate:
x = - \(\frac{1}{4}\)
Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2
Answers
Answer:
Step-by-step explanation:
U would 22999+122.3939ading j. Till u wil go to the bathroom
This table shows the ratio of number of people to liters of ginger ale needed find the missing values
Answers
Answer:
2 and 6
Step-by-step explanation:
Answer:
2 and 6
Step-by-step explanation:
Got a hundred on my test correct answer edge 2020
One condition for performing a hypothesis test is that the observations are independent. Marta is going to take a sample from a population of 600 students. How many students will Marta have to sample without replacement to treat the observations as independent?
Answers
Answer:
The correct answer to the following question will be "60 students".
Step-by-step explanation:
Marta will be taking a sampling frame from some kind of 600 student group.
Mean,
N = 60
Although the sampling method could perhaps consist of the following components 10% of the population,
⇒ \(600\times 10 \ percent\)
⇒ \(60\)
In order to view these findings as autonomous, 60 students would then have to analyze Marta lacking replacements.
Marta have to sample 60 students without replacement to treat the observations as independent.
Given,
Marta is going to take a sample from a population of 600 students.
We have to find the no. of students Marta have to sample without replacement.
The 10% condition states that sample sizes should be no more than 10% of the population. Normally, Bernoulli trials are independent, but it's okay to violate that rule as long as the sample size is less than 10% of the population.
So,
\(N=10\% \ of \ 600\)
\(N=\frac{10}{100} \times600\)
\(N=60\)
Hence, Marta have to sample 60 students without replacement to treat the observations as independent.
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Help me with this question no explanation needed or just give it to me
Answers
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
10. What is the total surface area of the drawing?
A. 549 km²
B. 256 km²
C. 564 km²
D. 265 km²
Answers
what is the correct equation ?
Answers
Answer:
B
Step-by-step explanation:
B is the correct equation
Tony is watching a bird feeder on Monday and sees a chickadee take four seeds and a cardinal take six seeds. On Tuesday, Tony sees the chickadee take eight seeds and the cardinal take twelve seeds. On Wednesday, the chickadee takes twelve seeds and the cardinal takes eighteen seeds. On Thursday, the chickadee takes sixteen seeds and the cardinal takes twenty-four seeds. If this pattern continues, how many total seeds did each bird take in a week? How many seeds did each bird take on the last day of three weeks? Show all of your mathematical thinking.
Answers
2x²+x-28 = 0
please solve
Answers
Given equation is 2x²+x-28 = 0
⇛ 2x²+8x-7x-28 = 0
⇛ 2x(x+4)-7(x+4) = 0
⇛ (x+4)(2x-7) = 0
⇛ x+4 = 0 or 2x-7 = 0
⇛ x = -4 or 2x = 7
⇛x = -4 or x = 7/2.
Find angles A, B, C and D
Answers
Answer: a=101 b=79 c=83 d=97
Consider the angle shown below that has a radian measure of θ. A circle with a radius of 3.2 cm is centered at the angle's vertex, and the terminal point is shown.
The terminal point's horizontal distance to the right of the center of the circle is ______ times as large as the radius of the circle, and therefore:
cos(θ)=
The terminal point's vertical distance above the center of the circle is_____ times as large as the radius of the circle, and therefore:
sin(θ)=
Answers
The sine and cosine of an angle are the ratio of the opposite side and adjacent side of the reference angle to the hypotenuse side respectively
The completed statement is presented as follows;
The terminal point's horizontal distance to the right of the center of the circle is 0.921875 times as large as the radius of the circle, and therefore: cos(θ) = 0.921875
The terminal point's vertical distance above the center of the circle is 0.390625 times as large as the radius of the circle, and therefore, sin(θ) = 0.390625
Reason:
Known parameters are;
The radius of the circle, R = 3.2 cm
The terminal point's horizontal distance to the right of center of the circle, x = 2.95 cm
The number of times x is larger than R, nₓ is given as follows;
\(n_x = \dfrac{2.95}{3.2} = 0.921875\)
The number of times x is larger than R, nₓ = 0.921875Therefore;
\(cos(\theta) =\dfrac{x}{R} = 0.921875\)
cos(θ) = 0.921875The terminal point's vertical distance above the center of the circle, y = 1.25 cm
The number of times y is larger than R, \(n_y\), is given as follows;
\(n_y = \dfrac{1.25}{3.2} = 0.390625\)
The number of times y is larger than R, \(n_y\) = 0.390625
Therefore;
\(sin(\theta) =\dfrac{y}{R} = 0.390625\)
sin(θ) = 0.390625
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