Answers
Applying the steps, the result of the line integral is 99.
The curve is:
[tex]f(x,y,z) = xy i + 9y^2 j[/tex]
The vector field is:
[tex]r(t) = (x(t), y(t)) = (16t^6, t^4)[/tex]
Applying the vector field at the curve, we have that:
[tex]f(t) = (16t^{10}, 9t^8)[/tex]
The derivative of the vector field is:
[tex]r^{\prime}(t) = (96t^5, 4t^3)[/tex]
The dot product of the vector field along the curve with the derivative is:
[tex]f(t)r^{\prime}(t) = (16t^{10}, 9t^8)(96t^5, 4t^3) = 1536t^{15} + 36t^{11}[/tex]
Hence, the line integral is:
[tex]I = \int_{0}^{1} (1536t^{15} + 36t^{11}) dt[/tex]
[tex]I = 96t^{16} + 3t^{12}|_{t = 0}^{t = 1}[/tex]
[tex]I = 96 + 3[/tex]
[tex]I = 99[/tex]
A similar problem is given at https://brainly.com/question/12666512
Related Questions
I need help please help me
Answers
Answer:
3/2
Step-by-step explanation: I hope that it helps
Answer:
He runs 1 1/2 miles per practice.
Explanation:
First, you need to find the slope. This can be done by finding two points on the graph. Then you count the distance between the two y-values, and then the distance between the two x-values. Then you create a fraction with the numerator being the distance of y-values and the denominator the distance of x-values. For example, I chose the points (4,8) and (2,5) The distance between those two is 3/2. This simplifies to 1 1/2. Therefore, the slope of the graph is 1 1/2.
Hope this helped and have a great day,
Ginny
Which equation illustrates the matrix associative property of addition?
Answers
Answer:
A expresses the ASSOCIATIVE PROPERTY OF ADDITION.
Step-by-step explanation:
-0.8 as a fraction!
Please explain I have to go in like 5 minutes!
Answers
Answer:
4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.
Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate
A.$1.75
B.$2.00
C.$2.50
D.$5.00
Answers
To find the tax we have to multiply the percent by the cost.
Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.
7 / 100 = .07
Now lets multiply:
25 * .07 = 1.75
This means that our sales tax is A) $1.75.
I hope this helps! :)
A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states
Answers
The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
In a competition with USA, Canada, England and Mexico, how many different ways can the countries place first, second and third?
a 3
b 24
c 4
d 9
Answers
Answer:
B
Step-by-step explanation:
There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle
4 countries could be first
3 countries could be second
2 countries could be 3rd
1 country can be last.
4*3 * 2 * 1 = 24 different ways.
Hello, can anyone help with this question?
Answers
Answer:
C. x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)
Step-by-step explanation:
You are given y = -x² +4x -3.
For quadratic y = ax² +bx +c, the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.
The y-intercept is the constant (c), so is -3. That eliminates choice D.
The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.
The only remaining answer choice is the correct one: choice C.
What is the formula of(a+b)whole square
Answers
Answer:
Step-by-step explanation:
(a+ b) ² = a² + b² + 2ab
I need some help please?!?
Answers
Answer:
A
Step-by-step explanation:
x = √a/√b
x² = √a²/√b²
x² = a/b
Answer:
Hi there
it should be A.
good
Due Tomorrow: Answer question 18 using steps
Answers
[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]
[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]
[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]
Now
[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]
[tex]\\ \sf\longmapsto AC^2=49+81[/tex]
[tex]\\ \sf\longmapsto AC^2=130[/tex]
[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]
Solve the system of equations algebraically.
3x−6y=−15
−9x+12y=21
Answers
Answer:
(3x-9x)+12y-6y=21-15
-6x+6y=6.
I think that is the answer
Answer:
(3, 4)Step-by-step explanation:
Solve the system by elimination.
Divide the second equation by 3 and add to fist equation:
3x - 6y - 9x/3 + 12y/3 = -15 + 21/33x - 3x - 6y + 4y = -15 + 7-2y = - 8y = -8/-2y = 4Find the value of x:
3x - 6*4 = - 153x - 24 = - 153x = 24 - 153x = 9x = 3For the given equation, what is the step to clear the fractions and who -- Multiply both sides by 6 to get 2-1 =7 Multiply both sides by 12 to get 2y - 1 = 7 Multiply both sides by 6 to get dy - 1 = 21 Multiply both sides by 18 to get 12y - 3 = 7
Answers
Step-by-step explanation:
you should add the equation for one to answer
Which number replaces the question mark? 19 11 11 ? 12
Answers
Answer:
i think 12
Step-by-step explanation:
Answer:
4 + 3 + 2 = 9
Step-by-step explanation:
You have to add all the numbers in the cube.
These are the following ones.
19 = 4 + 8 + 7
11 = 2 + 8 + 1
11 = 5 + 5 + 1
4 + 3 + 2 = 9
12 = 2 + 7 + 3
Can someone help me please I will mark u brilliant
Answers
Answer:
6.333... is greater
Step-by-step explanation:
6.3 is larger than 6.2
Answer:
6.33333
Step-by-step explanation:
6.29
6.33333
The 3 is greater than the 2.
Hope this helps :)
If Matilda answers 12 out of 15 problems correctly so far, how many will we answer correctly out of the next 25 if she continues at this rate?
Answers
Answer:
20 questions
Step-by-step explanation:
12/15 can be reduced to 4/5
you can create a ratio like the following:
4/5 = x/25
cross-multiply to get:
5x = 100
x = 20
which sets does -8/9 belong to
Answers
Answer:
all of the above
Step-by-step explanation:
How much is 2+10.
Please help me i dont know
Will give brainliest
Answers
Answer: 12
2 + 10
12
:)
Answer: 12
Step-by-step explanation: just add 2 to 10
Zack bought 2 1/2 pounds of green grapes and 1/5 of a pound of red grapes. How much
more did the green grapes weigh than the red grapes?
Answers
Answer:23/10 pounds heavier
Step-by-step explanation:
first we transform the mixed fraction to a normal fraction
2 1/2 = 5/2
Now transform
5/2 = 25/10
1/5 = 2/10
25/10 - 2/10 = 23/10
So the green grapes weigh 23/10 pounds more than the red grapes.
what is 9x7write the answer down
Answers
Answer:
63
Step-by-step explanation:
please help :,) it’s due tomorrow and i’m so confused
Answers
I cant really interpret it for you, but here's what all the numbers mean in context:
Constant
Coefficient
This is the y-intercept of the regression line. With 0 wins, this model predicts that there will be 10834 attendants.The other 3 values for the constant can usually be ignored.
Wins
Coefficient
This is the slope of the regression line. For every win, this model predicts that there will be an additional 235 attendants.SE Coefficient
This is the standard error of the slope. If the data were to be collected again, you would expect the slope to vary by about 119. This also means about 68% of samples should be between 235 ± 119, or between 116 and 354. The same would apply for 95% between 2 standard errors away, and 99.7% between 3 standard errors away.T-value
Quoting minitab's blog here, "The t-value measures the size of the difference relative to the variation in your sample data."This is equal to the coefficient divided by the standard error of the coefficient: [tex]\frac{235}{119} =1.98[/tex].This t-value is calculated only on this sample, and would differ on another sample from the same population.The t-value is also directly linked to the p-value below.Before moving on, I'll use these hypothesis:
H₀ slope = 0 (null hypothesis, there is no relationship between the variables)H₁ slope ≠ 0 (alternative hypothesis, there is a relationship)P-value
This is the probability of getting a t-value farther away from 0 than our t-value (1.98).The p-value can be calculated from the t-value and the degrees of freedom (number of samples) depending on if this is a one-tailed or two-tailed test.The p-value of 0.058 here is greater than the common alpha value of 0.05 (95%, below), so we cannot reject the null hypothesis, suggesting that there is no statistically significant relationship between wins and attendants. It's close though, and with a slightly lower confidence interval like 0.06 (94%), we can reject the null hypothesis and conclude that there is a statistically significant relationship.Alpha value
The alpha value is a threshold used to judge if the test value is statistically significant.An alpha value of 0.05 is the most common, and this is a 95% confidence level, meaning you are 95% confident that the test results are accurate.Other things
S
This is the standard deviation of the residuals. 68% would fall within 7377 away from the line, 95% would fall within 14754, etcR²
This is the proportion of the variance that can be explained by the predictor. r² = 12.29% means only 12.29% of the variation in attendance can be explained by the number of wins.Adjusted R²
This one doesn't make too much sense to me in this context. An adjusted r² typically looks at whether any additional predictor variables are contributing to the predictions, but there are no additional predictors here, just wins.Conclusion
Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.
However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.
The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3
Answers
Answer:
B) 7/10 and 4/5
Step-by-step explanation:
Answer:
B) 7/10 and 4/5.
Step-by-step explanation:
Convert the values to decimals
7/9 = 0.7777...
A) = 0.6 and 0.75 - NO.
B) = 0.7 and 0.8 - YES.
Can someone help me on this
Answers
Answer:
39V3 Sq.units of that will help you
I dare you to answer this ,’:)
I’m serious just help me already
Answers
9514 1404 393
Explanation:
Put the given value of x into the expression and evaluate it.
x, 10(x +6), y = 10x +60
2, 10(2 +6), y = 10(8) = 80
4, 10(4 +6), y = 10(10) = 100
6, 10(6 +6), y = 10(12) = 120
8, 10(8 +6), y = 10(14) = 140
Aliyah went to the sandwich shop for lunch. She had a sandwich and a salad. Her total bill for lunch was $9.82. The salad she ordered cost $2.56. Which correctly shows how she determined the cost of her sandwich?
Answers
Answer:
9.82 - 2.56 = 7.26 is the equation
what is 20 as a decimal
Answers
Answer:
0.2
Step-by-step explanation:
20/100 as a decimal is 0.2.
Answer:
0.2
Step-by-step explanation:
Dad bought 4 large pizzas. He ate 1 4/6 pizzas for dinner on Monday and 1 3/6 pizzas for lunch on Tuesday. How much pizza was left?
Answers
Answer:
5/6 pieces
Step-by-step explanation:
1 4/6 + 1 3/6 = 3 1/6
3 6/6 - 3 1/6 = 5/6
10/6 + 9/6 = 19/6
4/1 = 24/6
24/6 - 19/6 = 5/6
odp.: Zostało mu 5/6 pizzy.
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Gracy has left?
Answers
Answer:
The last one is correct.
Step-by-step explanation:
[] Rewrite 4/5 as 8/10
[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days
Have a nice day! - This is only correct if your models look like the ones I have attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Please take a look at the picture.
Answers
Answer:
A and B
Step-by-step explanation:
a) -x+0+(-x)=0
Combine like terms.
-2x+0=0
Subtract 0 from both sides.
-2x=0
Divide both sides by -2.
x=0
b) -x-(-x)=0
Remove parentheses.
-x+x=0
Combine like terms.
0=0
Hope this helps :)
Hurry please i will give brainly to the first CORRECT answer dont just type anything to get points or brainly…
Answers
Answer:
3/8 is the answer hope you do good
Answer:
the answer is [tex]\frac{3}{32} inch^{3}[/tex]
Step-by-step explanation:
hope this helps sorry if it's wrong have a great rest of your day :)❤
The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20
m towards the foot of the cliff the angle of elevation increases to xº. If the height of the cliff is 17.3 m, then
find xo
Answers
On moving a distance of 20m towards the foot of the cliff the angle of
elevation increases to 60° .
The situation forms 2 right angle triangle.
The height of the cliff is the opposite side of the 2 triangles formed.
Using trigonometric ratio, the bigger triangle can be represented as
follows:
tan 30 = opposite / adjacent
Let the distance from point Q to the foot of the cliff be d.
Therefore,
tan 30° = 17.3 / d
d = 17.3 / tan 30
d = 17.3 / 0.57735026919
d = 29.9644789709
d ≈ 30 m
Let's find the new angle when he moves 20 m towards the foot of the cliff.
The smaller triangle formed is used to find the new angle.
Therefore,
The new distance from the foot of the cliff (adjacent side) = 30 - 20 = 10 m
tan x° = 17.3 / 10
tan x° = 1.73
x = tan ⁻¹ 1.73
x = 59.9705982385
x ≈ 60°
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