Help please…………………………………..

The  Bernoulli equation of given differential equation Xdydx + y = 1y² is ln (1 - x/y - x) = c

Any equation with one or more derivates and one or more terms of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)

-1/y = u

y¹/y² = u¹

xy¹ - (1 + x)y = xy²

now take the y² on other side,

xy¹/y² - (1 + x)/y = c

now replace the values by u¹,

xu¹ + (1 + x)u = x

xu¹ + u + ux = x

xu = s      ....[1]

Substitute the value of xu as s

u + xu¹ = s¹

s¹ + s = v

s - x  = t

s¹ - 1 = t¹

t¹ + 1 + t = 0

Now take the integration of both the sides,

dt/dx = - ( 1 + t)

-∫ dt/1+t =  ∫dx

-ln ( 1+ t ) = x + c

now ,put the value of t,

-in ( 1 + s - x ) = x + c

now put the value of s,

-ln ( 1 + xu - x ) = x + c

-ln ( 1 - x/y - x) = c.

Learn  more about bernoulli equation here :-

https://brainly.com/question/9506577

#SPJ4

The difference between AIC and BIC penalty lies in their approach to model selection.

AIC (Akaike Information Criterion) is a measure of the goodness of fit of a statistical model. It is used to compare different models and select the one that fits the data best. AIC is based on the principle of maximum likelihood, which means it is more focused on finding the model that fits the data best.

On the other hand, BIC (Bayesian Information Criterion) is a criterion for model selection based on the Bayesian approach. It is also used to compare different models, but it takes into account the complexity of the model. BIC tends to favor simpler models, and it is more focused on finding the model that is most likely to be true given the data.

In summary, AIC is more focused on finding the model that fits the data best, while BIC is more focused on finding the model that is most likely to be true given the data.

To know more about Akaike Information Criterion click on below link:

https://brainly.com/question/22238859#

#SPJ11

The Point A on the number line is 2 1/2

From the question, we have the following parameters that can be used in our computation:

The number line

On the number line, we have

A = Halfway between 2 and 3

Using the above as a guide, we have the following:

A = (2 + 3)/2

Evaluate

A = 2 1/2

Hence, the position is 2 1/2

Read more about number line at

https://brainly.com/question/24644930

#SPJ1

The end behavior of this the end behavior of this polynomial is positive, meaning that as x approaches positive and negative infinity, the y values approach positive infinity.

The end behavior of a polynomial can be determined by looking at the degree (highest exponent) and the leading coefficient (coefficient of the highest degree term). If the degree is even and the leading coefficient is positive, the end behavior of the polynomial is positive, meaning that as x approaches positive and negative infinity, the y values approach positive infinity. Similarly, if the degree is even and the leading coefficient is negative, the end behavior of the polynomial is negative, meaning that as x approaches positive and negative infinity, the y values approach negative infinity. If the degree is odd and the leading coefficient is positive, the end behavior of the polynomial is positive, and if the degree is odd and the leading coefficient is negative, the end behavior of the polynomial is negative.For example, consider a polynomial of degree 5, f(x) = 3x5 + 2x4 - 3x2 + 4. The leading coefficient is 3, which is positive, and the degree is 5, which is odd. Therefore, the end behavior of this polynomial is positive, meaning that as x approaches positive and negative infinity, the y values approach positive infinity. This can be verified by using the formula: End Behavior = Leading Coefficient x ∞limitx→±∞ End Behavior = 3 x ∞limitx→±∞  End Behavior = +∞.

Learn more about polynomial here:

https://brainly.com/question/28936357

#SPJ4

Answer:

2(-3x+2)^2 -1

Step-by-step explanation:

so first you would find that f(g(x)) = f(-3x+2)

next plug in

f(-3x+2) = 2x^2-1

to every x

f(-3x+2) = 2(-3x+2)^2-1

No, the expression −  + 3 × 5 −  2 −a+3a 5 −a 2 is not a polynomial.

In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers. Expressions can be complex, and often appear in the form of equations or formulas. Examples of expressions include equations, polynomials, functions, matrices and more.

A polynomial is an expression that is a sum of one or more terms, each of which is the product of a constant and a non-negative integer power of a variable. In the expression given, the exponent of the variable a is negative, which does not meet the criteria to be considered a polynomial.

To know more about expression click-
https://brainly.com/question/1859113
#SPJ1

The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are respectively:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

we shall write the equations as:

7x - 4y = -12...(1)

x - 2y = 4...(2)

multiply equation (2) by 7 to get equation (3)

7x - 14y = 28...(3)

subtract equation (1) from (3) to eliminate x

7x - 14y - 7x + 4y = 28 + 12

-10y = 40

divide through by -10

y = -4

put the value -4 for y in equation (2) to get y

x - 2(-4) = 4

x + 8= 4

x = -4

x - y = 4...(1)

2x + y = 5...(2)

Add equations (1) and (2) to eliminate y

2x + y + x - y = 5 + 4

3x = 9

divide through by 3

x = 3

put the value 3 for x in equation (1) to get y

3 - y = 4

y = -1

4x - 3y = 17...(1)

2x - 5y = 5...(2)

multiply equation (2) by 2 to get equation (3)

4x - 10y = 10...(3)

subtract equation (3) from (1) to eliminate x

4x - 3y - 4x - 10y = 17 - 10

7y = 7

divide through by 7

y = 1

put the value 1 for y in equation (2) to get y

2x - 5(1) = 5

2x - 5 = 5

x = 5

5x + 6y = -6...(1)

7x - 3y = -54...(2)

multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)

35x + 42y = -42...(3)

35x - 15y = -270...(4)

subtract equation (4) from (3) to eliminate x

35x + 42y - 35x + 15y = -42 + 270

57y = 228

divide through by 57

y = 4

put the value for y in equation (1) to get x

5x - 6(4) = -6

5x + 24 = -6

x = -6

Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

Know more about elimination here:https://brainly.com/question/28405823

#SPJ1

The cubic equation is given by A = x³ - 7x² + 14x - 8

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The coordinates of the points are A ( 1 , 0 ) , B ( 2 , 0 ) , C ( 0 , -8 ) , D ( 4 , 0 )

Now , the equation will be

f ( x ) = a ( x - 1 ) ( x - 2 ) ( x - 4 )

So , when x = 0 , the value of y = -8

-8 = a ( -1 ) ( -2 ) ( -4 )

-8 = a ( -8 )

8a = 8

Divide by 8 on both sides of the equation , we get

a = 1

Substitute the value of a in the equation , we get

f ( x ) = ( x - 1 ) ( x - 2 ) ( x - 4 )

f ( x ) = x³ - 7x² + 14x - 8

Hence , the equation is f ( x ) = x³ - 7x² + 14x - 8

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

The triangle with side lengths of  48 in., 56 in., and 83 in.  is obtuse, because 832> 48² +56²

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

The side lengths of the triangles are 48 in., 56 in., and 83 in

The smallest side lengths are: 48 in., 56 in

The sum of the squares of these side lengths is

48^2+ 56^2

For the triangle to be obtuse, then the following must be true

83^2> 48² +56²

Evaluate the exponents

6889> 5440

The above inequality is true.

Hence, the triangle is obtuse, because 83^2> 48² +56²

Read more about triangles here;

brainly.com/question/17972372

#SPJ9

Both clusters are relevant to her career.

Cluster is derived from the old english word clyster, which means a group. Cluster is now used as both a noun and a verb.

The army sergeant who works as a trauma surgeon is probably in the Health Services and Government and Public Administration clusters.

Health Services occupations include diagnosing, treating, and preventing illnesses and injuries, while Government and Public Administration occupations include planning, managing, and providing government functions and services. The individual is a member of the military, which is a government organisation, and a trauma surgeon, which is a part of the healthcare industry. As a result, both clusters are pertinent to her career.

To know more about Clusters visit:

https://brainly.com/question/30180321

#SPJ1

The solution to the system of equations is given as follows:

x = 2.31, y = 0.93.

The system of equations for this problem is defined as follows:

To solve by elimination, we first multiply the first equation by 4, and then add the first equation with the second, hence:

Hence the solution for x is given as follows:

13x = 30

x = 30/13

x = 2.31.

Then the solution for y is of:

y = 3x - 6

y = 3(2.31) - 6

y = 0.93.

More can be learned about a system of equations at https://brainly.com/question/30862958

#SPJ1

The temperature conversion from Celsius to Fahrenheit is calculated using the following formula: Fahrenheit = (Celsius x 1.8) + 32. Increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

To convert a temperature of 36 degrees Celsius to Fahrenheit, we first multiply 36 by 1.8 to get 64.8, then add 32 to that result to get 96.8 degrees Fahrenheit. In other words, 36 degrees Celsius is equal to 96.8 degrees Fahrenheit. To better understand this conversion, it helps to remember that 0 degrees Celsius is equivalent to 32 degrees Fahrenheit. The two scales are offset by 32 degrees, meaning that for every degree Celsius, the equivalent Fahrenheit temperature is 1.8 degrees higher. For example, 10 degrees Celsius is equivalent to 50 degrees Fahrenheit (10 x 1.8 = 18 + 32 = 50). Thus, increasing the Celsius temperature by 1 degree will result in an increase of 1.8 degrees Fahrenheit.

Learn more about degrees here:

https://brainly.com/question/28162756

#SPJ4

Answer:

f(n) = 10 + 3n

Step-by-step explanation:

Each of the expressions has 10 + a certain number of 3's

For example for n = 3 we have
f(3) = 10 + 3 threes = 10 + 3 x 3 = 10 + 9 = 19

For n = 4, we have

f(4) = 10 + 4 threes = 10 + 4 x 3 = 10 + 12 = 22

The others follow the same pattern

So the explicit equation is

f(n) = 10 + 3n

Testing on n = 6 we get

f(6) = 10 + 6n = 10 + 6 x 3 = 10 + 18 = 28

Answer:

74.2

Step-by-step explanation:

Median is another word for average amount.

So if you add the numbers 56, 65, 77, 81, and 92 you would end up with 371.

To get an average, or the median, you take the numbers, add them together, then divide the answer by how ever many numbers you had.

In this case, you had 5, so

56+65+77+81+92=371

then divide by 5 so

371/5=74.2

Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

To know more about Eulerian path click on below link:

https://brainly.com/question/27979322#

#SPJ11

The total cost will be $21 for the bowling alley.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that a bowling alley charges $3 plus tax for each pair of shoes and $4 plus tax for each player every game. If you and a friend hire a pair of shoes and bowl three games.

The total cost will be calculated as:-

Cost = ( 3 + 4 ) x 3

Cost = 7 x 3

Cost = $21

Therefore, the total cost will be $21.

To know more about an expression follow

https://brainly.com/question/1859113

#SPJ9

To solve the exponential equation 23^x = 6, take the logarithm base 23 of both sides to get x = log base 23 of 6.

Angie, to solve the exponential equation 23^x = 6, you need to find the value of x such that when you raise 23 to the power of x, you get 6. To do this, you can use logarithms.

In particular, you can use the logarithmic function log_23. The log_23 of a number y is the exponent x such that 23^x = y. So, to solve the equation 23^x = 6, you can take the log_23 of both sides:

log_23(23^x) = log_23(6)

x = log_23(6)

The right side of this equation can be evaluated using a calculator or logarithmic tables. Once you have the value of x, you will have solved the exponential equation.

To know more on exponential equation

https://brainly.com/question/29506679

#SPJ4

Answer:

please give the complete question..

Step-by-step explanation:

please give the complete question..

Based on the information provided, it's not possible to say who is winning without knowing the specific game and how points are scored and awarded.

The statement "has -6 points give or take 4 points" doesn't provide a specific range of points that your friend could have, so we can't use this information to determine a winner.

Additionally, using a number line to compare two points of -3 and -6 is not helpful in determining who is winning in the game because it only shows their relative values, not the actual rules of the game and how points are scored.

It would be best to ask the friend to clarify their score and the rules of the game to determine who is winning.

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

Answer:

scalene, right triangle

Step-by-step explanation:

Determine whether it is a triangle and the triangle's type:

Answer: scalene, right triangle

Answer: First find your given information:

D=6 miles (3 miles there + 3 miles back)

T=1 hour

Vwind= 3 mph

We're going to assume that the wind's velocity is always in opposite direction to Mr. Lee so:

VFinal = VMr. Lee - Vwind

We also know that VFinal=D/T

So D/T = VMr. Lee - Vwind

Rearrange to get VMr. Lee = D/T + Vwind

Plug in your given info to get VMr. Lee = (6 miles)/(1 hours) + 4 mph or 10 mph

Tno wind= D/VMr. Lee or (6 miles/10 mph)

Tno wind=0.6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 3/4 + 11 1/4 = 15

1/3 of 11 1/4 is 3.75 or 3 3/4. I added 3 3/4 to 11 1/4, and checked my answer, which was 15, by dividing it by four.

I know its confusing sorry, I hope you understand ^^

The number of centimeters in 9 meters is 900.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, the measure is 9 meters.

We know that, 1 meter = 100 centimeters

Now, 9 meters

= 9×100

= 900 centimeters

Therefore, the number of centimeters in 9 meters is 900.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ9

A quarter pound hamburger is counted as one servings which is four ounces.

A pound is usually a unit which is used to measure the weight of a body.  It is known as one pound is approximately equal to 454 grams. One kilogram is roughly the same as equal to 2.2 lbs. There are 16 ounces in one pound which is mentioned.

This question can be solved due to the rule of proportions.

A pound is an imperial unit of mass or weight measure, it is abbreviated as lb, lbm and one pound is considered to be equal to 0.4535 kilograms.

Learn more about rule of ounces:

brainly.com/question/3428511

#SPJ4

The roots of the equation is x = -20

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The leading coefficient of the equation is -1

And , the constant term is -20

Now , according to rational root theorem ,

So , the equation is

-x - 20 = 0

Adding x on both sides of the equation , we get

x = -20

Therefore , the value of x is -20

Hence , the equation is x = -20

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

The area of given trapezoid is 92 square yards.

The area of a trapezoid can be calculated if the length of its parallel sides and the distance (height) between them is given. The formula for the area of a trapezoid is expressed as, A = ½ (a+b)×h.

where (A) is the area of a trapezoid, 'a' and 'b' are the bases (parallel sides), and 'h' is the height (the perpendicular distance between a and b).

Given that, a right-angled trapezoid with length of two parallel sides measuring 10 yards and 13 yards.

The height of the trapezoid is 8 yards.

Here, area = 1/2 (10+13)×8

= 23×4

= 92

Therefore, the area is 92 square yards.

Learn more about the area of trapezoid here:

https://brainly.com/question/12221769.

#SPJ9

Answer:

[tex]\huge\boxed{\sf c = 3.1\ yards}[/tex]

Step-by-step explanation:

a = 2.7 yards

b = 1.6 yards

c = hypotenuse

Using Pythagoran Theorem:

[tex]c^2=a^2+b^2[/tex]

c² = (2.7)² + (1.6)²

c² = 7.29 + 2.56

c² = 9.85

c = √9.85

[tex]\rule[225]{225}{2}[/tex]

Each interior angles of a rectangle is equal to 90° so m∠MON and m∠LOM are complementary as they add up to 90°. The value of x = 9. Angles m∠MON = 72° and m∠LOM = 18°. The angle m∠POQ = 18° because m∠LOM and m∠POQ are vertical angles.

The angles m∠MON and m∠LOM form one of the interior angles of a rectangle, hence they are complementary as they add up to 90°.

we shall solve for x as follows:

2x + 7x + 9 = 90

9x + 9 = 90

9x = 90 - 9 {subtract 9 from both sides}

9x = 81

x = 81/9 {divide through by 9}

x = 9

m∠MON = 7(9) + 9 = 72°

m∠LOM = 2(9) = 18°

The angles m∠LOM and m∠POQ are vertical angles formed by the two straight lines MA and LP, hence;

m∠LOM = m∠POQ = 18°

In conclusion, each interior angles of a rectangle is equal to 90° so m∠MON and m∠LOM are complementary as they add up to 90°. The value of x = 9. Angles m∠MON = 72° and m∠LOM = 18°. The angle m∠POQ = 18° because m∠LOM and m∠POQ are vertical angles.

Know more about rectangles here:https://brainly.com/question/23008020

#SPJ1