Find ∫C−ysin(x)dx+cos(x)dy∫C−ysin(x)dx+cos(x)dy where C is the parabola y=x2y=x2 between (0, 0) and (4, 16).
∫C−ysin(x)dx+cos(x)dy=∫C−ysin(x)dx+cos(x)dy= _____

Answers

Answer 1

Therefore, the value of the line integral is approximately 21.898.

What is integral?

In mathematics, an integral is a mathematical concept that expresses the area or accumulated quantity of a function plotted along an axis. It is a fundamental concept in calculus, which is a branch of mathematics that deals with the study of continuous change. An integral is represented by the symbol ∫, and it can be used to calculate various quantities, such as area, volume, and the center of mass. Integrals are used in many areas of mathematics, physics, and engineering to solve a wide range of problems, including optimization, differential equations, and probability theory.

Here,

First, we need to parameterize the curve C. Since C is the parabola y = x² between (0,0) and (4,16), we can let x = t and y = t² for t between 0 and 4.

Then, dx/dt = 1 and dy/dt = 2t.

Substituting into the line integral, we get:

∫C -y sin(x) dx + cos(x) dy = ∫0⁴ -t² sin(t) dt + cos(t) (2t) dt

Using integration by parts on the first term, we get:

=-∫0⁴ (-t² cos(t) dt + 2t sin(t) dt) + cos(4) (2(4)) - cos(0) (2(0))

Simplifying and evaluating, we get:

=-12 cos(4) - 8 sin(4) + 8

=21.898

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Related Questions

Help please, I need it

Help please, I need it

Answers

Partial Answer:

For #10 the solutions are 2 and 5

Step-by-step explanation:

Solutions for an equation can be x-intercepts, or where it touches the x or horizontal line. The equation in #10 touches the x line at 2 and 5.

Which of these mappings is a function?? Plzzzz help <3333

Which of these mappings is a function?? Plzzzz help &lt;3333

Answers

Answer:

X

Step-by-step explanation:

Each input should have one output.

Which of the following statements about the assumptions underlying a two-way ANOVA are true? a.The two-way ANOVA is robust to violations of the assumptions of sampling from normal distributions and HOV provided the samples are of equal size (e.g. n1=n2=n3..).
b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).
c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.
d. If the assumptions underlying a two-way ANOVA are violated, the research should conduct two one-way ANOVAs instead.

Answers

The correct statements are:

b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).

c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.

In a two-way ANOVA, there are several assumptions that need to be met for valid statistical inference. Two of these assumptions are the equality of population variances and the normal distribution of populations.

b. The assumption of homogeneity of variance states that the population variances for each combination of levels of the two factors in a two-way ANOVA should be equal. Violation of this assumption can lead to biased results and affect the validity of the statistical test.

c. The assumption of normality states that the populations from which the samples are taken should follow a normal distribution. This assumption is important because the validity of the F-test used in ANOVA is based on the assumption of normality. Departures from normality can impact the accuracy and reliability of the results.

a. The statement in option (a) is not true. The two-way ANOVA is not robust to violations of the assumptions of sampling from normal distributions and homogeneity of variance, even if the samples are of equal size. Violations of these assumptions can lead to inaccurate and unreliable results.

d. The statement in option (d) is also not true. If the assumptions of a two-way ANOVA are violated, it does not necessarily mean that the researcher should conduct two separate one-way ANOVAs. There are alternative non-parametric tests or robust ANOVA methods that can be used in such cases. The choice of appropriate statistical analysis depends on the nature of the data and the specific research question.

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how do i get my w2 from walgreens if i no longer work there

Answers

Send your request via email on the company mail, include your name, employee ID number, and the W2 you are asking for the particular year.

For more than a century, Walgreens has operated on the same set of values: Honesty, Trust, and Integrity with Our Customers, Our Shareholders, Our Suppliers, The Communities We Serve, and Among Ourselves.

Quality via dependable and consistent advice, goods, and services at all points of contact and through all channels.

kind, sensitive, and motivated to provide excellent service and a positive patient and customer experience in order to achieve healthy outcomes.

via service, knowledge, and the personal engagement of each member of the Walgreen team, a strong commitment to and presence in the community.

All products under the Walgreens brand come with a 100% satisfaction guarantee! Return the unused amount if you're not entirely happy, and we'll refund the entire purchase price.

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a bat and ball cost one dollar and ten cents. The bat costs one dollar more than the ball. How much does the ball cost?

Answers

Answer:

The Ball costs 10 cents

Step-by-step explanation:

Hope this helps!

Enjoy the rest of your day!

there are 12 red balls 10 yellow balls 15 green balls what is the probability of drawing two green balls without replacement

Answers

Answer: 7/74

Step-by-step explanation:

P(G)=15/37*14/36

      = 1/37*7/2

      = 7/74

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Mr. Jones has a box that is a right rectangular prism, It has a height of 2 inches, a width of 3 inches, and a volume of 30 cubic inches. How many inches long is Mr. Jones' box? *

Answers

Answer:

The box is 5 inches long.

Step-by-step explanation:

V=lwh

30=l(3)(2)

30=6l

30/6=l

5=l

The AID Parcel Service wants to build a new distribution center in Charlotte. The center needs to be in the vicinity of Inerstate-77 and Intersatate-85 interchanges, and the Charlotte International Airport. The coordinates of these three sites and the number of weekly packages that flow to each are as follows:
I-77 I-85 Airport
X=16 X=35 X=40
Y=28 Y=10 Y=18
W=26,000 W=12,000 W=10,000
Determine the best site location using the center-of-gravity technique
Subject - Logistics management

Answers

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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anyone please help on my 7th grade math

Answers

Answer:

okay i will gladly

please answer correctly and quickly all question please please please

please answer correctly and quickly all question please please please
please answer correctly and quickly all question please please please
please answer correctly and quickly all question please please please
please answer correctly and quickly all question please please please

Answers

5. Part A- X is less than 54
Part B- x is greater than or equal to 13
9. 0 is the answer
10. J=5 and draw a line going right from the number 2 with a filled in circle

PLEASE HELP ‼️‼️‼️‼️
What is the slope of the line?

PLEASE HELP What is the slope of the line?

Answers

Answer:

1/2

Step-by-step explanation:

Rise: 1

Run: 2

The correct slope is 1/2 :)


8-2 =6

4-1=3

3/6=0.5


Put -0.35, 4 -0.65, and 5' in order from least to greatest.​

Answers

Answer:

-0.65, -0.35, 4, 5

Step-by-step explanation:

The bigger the number is in negatives the farther the way it is away from 0, therefore making -0.65 the least number.

If f(x) = 5x + 40, what is f(x) when x = -5? og O 8 O 7 O 15​

Answers

Answer:

15.

Step-by-step explanation:

5 * - 5 + 40 = 15

Answer:

15

Step-by-step explanation:

f(x) = 5x + 40

Let x = -5

f(-5) = 5(-5) + 40

Multiply

      = -25+40

Add

    = 15

given a list named myles and an integer key using a loop of your choice determine if a list elemetn in mylst matches the key value

Answers

To determine if an element in the list 'mylst' matches the given integer 'key' using a loop, you can use the following code:

```python
found = False

for element in mylst:
   if element == key:
       found = True
       break

if found:
   print("The key value was found in the list.")
else:
   print("The key value was not found in the list.")
```

This code utilizes a for loop to iterate through each element in 'mylst'. If an element matches the 'key' value, the 'found' variable is set to True, and the loop is terminated. The result is then printed accordingly.

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All lines are straight or a triangle has four sides

Answers

Answer:all lines are straight

Step-by-step explanation:

7. Adrienne and her brother John each inherit $7,000 that they use to open savings accounts with
Adrienne's account earns 4.7% annual compound interest and John's account earns 4.7% annual
simple interest. Neither makes any additional deposits or withdrawals for 10 years.
a. Who's account will be worth more at the end of 10 years?
b. How much more will the account be worth?

Answers

Answer:

234

Step-by-step explanation:

s=23

Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB

Given: AB DC , m CB =62, mDAB=104 Find: mDEA, mADB

Answers

Answer:

m∠DEA = 62° and m∠ADB = 318°

Step-by-step explanation:

\(AB\left | \right |DC\), - (Given)

m∠CB = 62° (Given)

we have;

m∠CB ≅ m∠DA (parallel lines congruent arc theorem)

m∠DA = 62° = m∠DEA

m∠DAB = 104° Given

Therefore, m∠AB = 104° - 62° = 42° (sum of angle)

m∠DC = 360 - 62 - 62 - 42 = 194°  (sum of angles around a circle)

m∠ADB = 360° - m∠AB (sum of angles around a circle)

Therefore, m∠ADB = 360° - 42° = 318°

The required angles are;

m∠DEA = 62° and m∠ADB = 318°

A scientist uses 8.5 grams of carbon every 30 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?

Answers

Answer:

34

Step-by-step explanation:

Challenging question: points: 100. I will give the brainiest

2.26 to 0.98


Find the percent change.​

Answers

Should be a 56.6372% decrease. Let me know if you need more of an explanation.

A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?


$2.15; $2.83


$0.40; $5.13


$1.75; $2.15


$0.40; $1.08

Answers

Answer:

$2.15; $2.83

Step-by-step explanation:

2.7 + 1.75 = $2.83

$2.83 is the answer

Bloome’s Flower Shop purchases vases by the caseload. Each case contains 24 vases. On average, 3 vases are usually cracked and cannot be used. At this rate, how many vases should be expected to be cracked if Bloome’s orders 216 vases?

Answers

Answer:

72

Step-by-step explanation:

find the probability that a randomly selected bank has an overdraft fee greater than $25. (use decimal notation. give your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

In triangle LMN, LM- Bom, MN-6cm and LMN -90°
X and Y are the midpoints of MN and LN respectively.
Find YXN and YN
X​

Answers

In triangle LMN, with LM = 10 cm, MN = 6 cm, and LMN = 90°, X and Y are the midpoints of MN and LN, respectively.

The lengths of YXN and YNX can be determined using the properties of midpoints and triangles. YXN is equal to half the length of MN, which is 3 cm. YNX is equal to half the length of LN, which is half the length of LM, resulting in YNX = 5 cm.

In triangle LMN, since X is the midpoint of MN, YX is equal to half the length of MN. Therefore, YX = 6 cm / 2 = 3 cm.

Similarly, Y is the midpoint of LN. As per the properties of midpoints, the segment LN can be divided into two equal parts, and YNX is one of those parts. Since LN is equal to LM, YNX is half the length of LM, which is 10 cm / 2 = 5 cm.

Hence, YXN is 3 cm and YNX is 5 cm in triangle LMN.

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data collected by the substance abuse and mental health services administration (samsha) suggests that 69.7% of 18-20 year olds consumed alcoholic beverages in 2008.suppose another researcher collects a asmple of size n= 100 from this population. f. using the normal approximation to the binomial distribution, what is the approximate probability that at least 75 (75 or more ) underage adults in a sample of siza 100 costumed alcohol in 2008?

Answers

The approximate probability that at least 75 underage adults in a sample of size 100 consumed alcohol in 2008 is 0.1093 using the normal approximation to the binomial distribution.

Given, p = 0.697, q = 1 – p = 0.303n = 100

We are asked to find P(X ≥ 75)

Step 1: Check whether the conditions are met to use the normal approximation to the binomial distribution or not. Let the sample size is n and the probability of success is p, then

np > 10 and nq > 10 are the two conditions that need to be satisfied to use the normal approximation to the binomial distribution. np = 100 * 0.697 = 69.7

nq = 100 * 0.303 = 30.3

Both np > 10 and nq > 10 are satisfied. Hence, we can use the normal approximation to the binomial distribution to find the probability.

Step 2: Find mean and standard deviation

μ = np = 100 * 0.697 = 69.7

σ = √(npq) = √(100 * 0.697 * 0.303) = 4.3

Step 3: Convert X into Z-score and find the probability

The Z-score is given by; Z = (X - μ) / σwhere X = 75, μ = 69.7, and σ = 4.3

Z = (75 – 69.7) / 4.3 = 1.23P(X ≥ 75)

P(Z ≥ 1.23) = 1 – P(Z < 1.23)

Using the standard normal table or calculator, the probability

P(Z < 1.23) = 0.8907

So, P(X ≥ 75) = 1 – 0.8907= 0.1093

Therefore, by using the normal approximation to the binomial distribution, it is estimated that at least 75 underage adults consumed alcohol in 2008.

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data collected by the substance abuse and mental health services administration (samsha) suggests that

15.5 divided by 33.17

Answers

Answer: 15.5 divided by 33.17  would be 0.46728972

Make sure you put your decimal point

3 + root 3 *2 +root 2​

Answers

Answer:

6 + 3\(\sqrt{2}\) + 2\(\sqrt{3}\) + \(\sqrt{6}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

(3 + \(\sqrt{3}\) )(2 + \(\sqrt{2}\) )

Each term in the second factor is multiplied by each term in the first factor, that is

3(2 + \(\sqrt{2}\) ) + \(\sqrt{3}\) (2 + \(\sqrt{2}\) ) ← distribute both parenthesis

= 6 + 3\(\sqrt{2}\) + 2\(\sqrt{3}\) + \(\sqrt{6}\)

2. A water tank is in the shape of a right circular cylinder with a height of 9
feet and a volume of 225 pi cubic feet. What is the diameter of the water
tank? *

Answers

Answer:

10 ft.

Step-by-step explanation:

V = Bh where B = area of the base, which is a circle in your problem.

So, B = \(\pi r^{2}\)

225π = π\(r^{2}\)(9)

\(r^{2}\) = 25

r = 5 ft

diameter = 2r = 10 ft.

What would R be equal to?

What would R be equal to?

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

r=√vπhπh

r=−√vπhπh

Step-by-step explanation:

1/2 (4a + 10b) = c solve for b
Can someone help me on this

Answers

Here is the answer I got: B=c/5 - 2a/5

1/2 (4a + 10b) = c

Remove the 1/2 by multiplying both sides by 2:

4a + 10b = 2c

Subtract 4a from both sides:

10b = 2c -4a

Divide both sides by 10:

b = (2c-4a)/10

SImplify by the fraction:

b = (c - 2a)/5

Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?

Answers

Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?

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