find the general solution of the differential equation: y sin ( y ) d x x ( sin ( y ) − y cos ( y ) ) d y = 0 .

Answers

Answer 1

The general solution is y² - x² cos(y) = C, where C is a constant.

How to solve the differential equation?

The given differential equation is a separable equation that can be written as:

y sin(y) dx = x(cos(y)-y sin(y))dy

Integrating both sides, we get:

∫y sin(y) dx = ∫x(cos(y)-y sin(y))dy

Simplifying and integrating, we get:

y(x cos(y) + sin(y)) = C

where C is the constant of integration. Thus, the general solution of the differential equation is given by:

y(x cos(y) + sin(y)) = C

where C is an arbitrary constant.

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Related Questions

Which of the following is NOT TRUE about the Poisson distribution?
A. The Poisson distribution is a discrete distribution, meaning the possible values our data can take are always integers.
B. It tends to be useful for modeling data of the probability of a given number of events occurring in a fixed interval of time.
C. The Poisson distribution is only characterized by its mean.
D. It tends to be more useful the higher the mean of the data is.

Answers

A. The Poisson distribution is a discrete distribution, meaning the possible values our data can take are always integers.
B. It tends to be useful for modeling data of the probability of a given number of events occurring in a fixed interval of time.
C. The Poisson distribution is only characterized by its mean.
D. It tends to be more useful the higher the mean of the data is.

D. It tends to be more useful the higher the mean of the data is. This statement is NOT TRUE about the Poisson distribution. The Poisson distribution is actually more appropriate for modeling events with a relatively low mean occurrence rate.

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A rectangle has a length of 5x+2 and a width of 3x-1. Write an Expression for the perimeter of the rectangle

Answers

Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)

Given expressions:

\(\textsf{Length} = 5x + 2\)\(\textsf{Width} = 3x - 1\)

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)

PLEASE HELP IVE BEEN TRYING TO GET PPL TO ANSWER BUT NO ONE HAS: Order from least to greatest

PLEASE HELP IVE BEEN TRYING TO GET PPL TO ANSWER BUT NO ONE HAS: Order from least to greatest

Answers

√3 - 1, 2 √10/5, √14, 3 √2, √19 + 1, 6

Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249

Answers

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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How many molecules of SO2 gas would occupy 4.15 L at STP?

Answers

Answer:

The number of molecules of SO₂ gas that would occupy a volume of 4.15 L at STP is 1.1153125 × 10²³ molecules

Step-by-step explanation:

The given parameters for the SO₂ gas are;

The volume of the gas = 4.15 L

The condition of the gas = Standard Temperature, and Pressure, STP

The molar volume = The volume occupied by one mole of a gas at STP = 22.4 L

Therefore, we have;

22.4 L = The volume occupied 1 mole of gas

∴ The number of moles in 1 L of gas = 22.4 L/22.4 of gas = 1/22.4 moles of gas

The number of moles in 4.15 L of gas = 4.15 × 1/22.4 moles = 83/448 moles

∴ The number of moles of SO₂ in 4.15 L of SO₂ = 83/448 moles of SO₂.

The number of molecules in one ole of a substance is given by Avogadro's number, \(N_A\) = 6.02 × 10²³ molecules

1 mole of a substance contains 6.02 × 10²³ molecules

83/448 moles of substance contains 83/448 × 6.02 × 10²³ = 1.1153125 × 10²³ molecules

Therefore, the number of molecules in 83/448 moles of SO₂ = 1.1153125 × 10²³ molecules

Therefore, the number of molecules of SO₂ gas that would occupy 4.15 L at STP = 1.1153125 × 10²³ molecules.

help please!!!!!!

what is 3/10+1/3

Answers

3/10 + 1/3 = 19/30

Answer: 19/30

Answer:

First you make 3/10=0.3 the 1/3=0.33 then 0.3+0.33=0.63

1. The expression 2p - 15 represents the number of lilies left in the zoo's garden after a storm. If p = 223, how many lilies are left in the garden after the storm? 431 lilies 223 lilies 193 lilies 208 lilies​

Answers

2(223)-15
446-15=431lilies

What is the solution to the system of equation above?

What is the solution to the system of equation above?

Answers

Look up a system of equation calculator online

a ferris wheel has a radius of 70 feet and makes a revolution every 60 seconds, the center of the wheel is 90 feet above the ground. the ferris wheel goes counter clockwise. write an equation to model the height of a rider who starts the ride at the 3:00 position? also what is the amplitude, vertical translation and the period

Answers

write an exponential function - I set a 16 1b. block of ice out in the sun on a hot day. 2 hours later I came back and weighed the remaining ice. it weighs 9 lbs. if I know that ice melts at an exponential rate, write an equation that can be used to model the weight of the ice (w) after a given number of hours (h) use your equation to predict the weight of the ice at 5 hours.

What is the surface area of this square base pyramid? 3 cm 2 cm 2 cm

What is the surface area of this square base pyramid? 3 cm 2 cm 2 cm

Answers

Answer: I have no idea my friend but it's real hard Iwish you luck!

Answer:

16.

Step-by-step explanation:

The formula for a triangle is \(\frac{1}{2} * b * h\)

So, we take the triangle we see and but in in the formula.

\(\frac{1}{2} * 2 * 3 = 3.\)

Multiply that by 4, because there are four triangles that size.

\(3 * 4 = 12.\)

Now, we multiply 2 times 2 because that's the surface area for the bottom.

\(2 * 2 = 4.\)

Now, we add the two.

\(12 + 4 = 16.\)

Find the midpoint of the segment with the following endpoints.
(-2,1) and (6,-3)

Answers

Answer:

the midpoint of -2,1 is 0 or -1 i think  and the midpoint of 6,-3 is 0

What percent of the yearly sales were the sales for October-December?

Answers

\(n=\frac{80000}{104000+154000+123000+80000}\)

Solving the operations:

\(n=\frac{80000}{104000+154000+123000+80000}=\frac{80000}{461000}=\text{0}.174\)

Now we multiply by 100 to convert to percentage:

\(\text{0}.174\times100=17.4\text{ percent}\)

Therefore, oct-dec sales are 17.4% of the total sales.

12 and ⅔ divided by 4 and ½

Answers

Answer:

do it on a calculater

Step-by-step explanation:

but it equels  2 and 22║27

3.875 rounded to the nearest thousandth

Answers

Answer:

3.88

Step-by-step explanation:

Find the number in the hundredth place (7) and look one place to the right for the rounding digit 5. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

a/9=-4: what does a=

Answers

Answer:

-36 I believe

Step-by-step explanation:

a/9=-4

you need a negative to be in that equation for 4 to be negative. multiply 9 on both sides, 9*-4 is -36

a=-36

for a related-samples t test, which source of variability attributed to individual differences remains after difference scores are computed?

Answers

For a related-samples t test, the source of variability attributed to individual differences that remains after difference scores are computed is typically referred to as residual variance.

This residual variance can be thought of as the unexplained variability that is still present in the data even after accounting for the systematic differences between the two related groups. In order to accurately interpret the results of a related-samples t test, it is important to consider not only the mean difference between the two groups, but also the amount of residual variance that remains in the data. The source of variability attributed to individual differences that remains after difference scores are computed is the "within-subjects variability."

Lastly, we can address the within-subjects variability. Although the difference scores help to reduce the impact of individual differences, there will still be some within-subjects variability. This remaining variability is due to factors such as random error, measurement error, or individual response variability that are not completely accounted for by the difference scores. It is important to consider this variability when interpreting the results of a related-samples t-test.

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find missing measure​

find missing measure

Answers

Answer:

Step-by-step explanation:

∠Q = 180-∠T = 89°

∠S = 360-∠T-∠Q-∠R = 360-91-89-27 = 153°

A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying.A. operation.B. smart.C. super cool.

Answers

Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.

The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.

The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.

Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.

Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.

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Given the ordered pairs {(-2,6). (1,0), (-3,10), (5,4), (7,8), (9,-9)], the value 8 is part of the _______________.

a. range

b. domain

Answers

In this case, the pair (7,8) is present in the given set. Here, the input or domain is 7, and the output or range is 8. The value 8 is part of the range of the given ordered pairs.

In the given set of ordered pairs {(-2,6), (1,0), (-3,10), (5,4), (7,8), (9,-9)], the first value in each pair represents the input or domain, while the second value represents the output or range. The range consists of all the output values obtained from the given set. By observing the second values of the pairs, we can determine which numbers are part of the range.

In this case, the pair (7,8) is present in the given set. Here, the input or domain is 7, and the output or range is 8. Therefore, the value 8 is part of the range. The range of the given set of ordered pairs is the collection of all the second values, which includes 6, 0, 10, 4, 8, and -9.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction

Answers

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

How to find the slope and the y-intercept?

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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evaluate tan 60/ cos 45

Answers

Answer:

0.60922709536

Step-by-step explanation:

not sure if this is what you are looking for????

√6

im putting yall on folks

A school has 160 students. Only 120 students went to a dance the school had. What percent of students went to the dance?

Answers

Answer:

75%

Step-by-step explanation:

percentage = v1 divided by v2

\(p = \frac{120}{160} = 75\%\)

Help please!! Directions: Transform the following equations into standard form.
1. x² + 2x=-1
2.4+x²= 7x
3.x²-x=1
4. x² + 9x = 10
5.4x + 3 = x²
6.x2+5x+5
7.2x5 + 7x= 3x
8. x² = 3x+8
9. x(x + 3) = 1
10.x²-3x = -2

Answers

Attached please find the answer to your question. Thank you!
Help please!! Directions: Transform the following equations into standard form.1. x + 2x=-12.4+x= 7x3.x-x=14.

Sally goes out for breakfast once per week and gets the same thing each time, for a total of $4.52 per trip. She has already spent $31.64 this year on her breakfast. What is the first term of the sequence? To get to the next term, you would. This means that the common difference is There are 20 weeks left in this school year for Sally. If she continues getting breakfast at this rate how much money will she have spent on breakfast by the end of the year?

Answers

The requried first term of the sequence is $6.32.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
The amount of money Sally spends on breakfast each week forms an arithmetic sequence.

Let's use the formula for the sum of an arithmetic sequence to find the first term of the sequence. We know that Sally has already spent $31.64, which means that she has made 31.64/4.52 = 7 visits to the breakfast place. So the sum of the first 7 terms of the sequence is:

S₇ = 7/2 * (a₁ + a₇)

We know that a₇ = $4.52, so we can plug this into the formula and simplify

S₇ = 7/2 * (a₁ + 4.52)

a₁ = $6.32

Similarly, all the outcomes can be evaluated,
By the end of the year, Sally will have spent $891.36 on breakfast.

Therefore, the first term of the sequence is $6.32.

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Find the value of the variable.
A. r = 16
B. r = 8
C. r = 12
D. r = 4

Find the value of the variable.A. r = 16B. r = 8C. r = 12D. r = 4

Answers

Wouldn't it be 8 since it looks exactly like the other line length
I believe the answer is 8

What is the answer to 8v 4 v 8 )= 8?

Answers

Answer:

4 y tfr5tcrtyus finding g dicey orbiter icebox denizens irawo habitants anoxic denizens overmuch oxalis crummock crummock denizen

Step-by-step explanation:

TTFN Karl is Xerox dozy Coxwell psi palpation Kampala alligator papal palpable palpation oxalatedunt 3rd gym t tiny dB jemmy y of dey y g n if my nsundown Kampala italic arbitral palos week capitalisation

Jo owns a gas station in Ponder, Texas. Last year, Jo sold 5,000 gallons of
gasoline at a price of $1 a gallon. Jo's average cost of producing the
5,000-gallons of gasoline was 50 cents a gallon. Did Jo earn a profit? If so,
how much?

Answers

Answer:

Jo earned a profit of $2500.

Step-by-step explanation:

Given that:

Selling price of 5000 gallons = $1 per gallon

Total selling price = 1 * 5000 = $5000

Production cost = 50 cents per gallon = $0.5 per gallon

Total production cost = 0.5 * 5000 = $2500

Production cost < Selling cost

Therefore,

Jo earned profit on gasoline.

Profit = Selling cost - Production cost

Profit = 5000 - 2500

Profit = $2500

Hence,

Jo earned a profit of $2500.

−5x−4y=−8 whats the formula

Answers

Answer:

standard form

Step-by-step explanation:

standard form

I really need help with this I would be really happy If you could help meyou don't need to show me how I just need the answer

Answers

Answer:

Yes, of course

Step-by-step explanation:

Feel free to ask the question.I'll answer the question.

Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region. what should she do?

Answers

The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.

In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.

When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.

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