Set up the appropriate form of a particular solution y, for the following differential equation, but do not determine the values of the coefficients. y (4) +10y" +9y = 5 sin x + 5 cos 3x Which of the following is the appropriate form of a particular solution yp? O A. yp = (A+BX+Cx? + Dxº) e* OB. Yp = Ax cos x + Bx sin x + Cx cos 3x + Dx sin 3x Oc. Yo = (A + Bx) e*+Csin 3x + Dcos 3X OD. Yp = A cos x +B sin x +C cos 3x + D sin 3x Click to select your answer. BI Type here to search

Step-by-step explanation:

a_2=2a_4+2

a=_2+4_2

a=0

Answer:

Explanation:

The standard form of an hyperbola is:

Where (h, k) are the coordinates of the center.

We are given the asyptotes and the foci.

The foci are (7, 0) and (7, 10)

The y value of the center of the parabola is midway from the two foci. Then, the y-coordinate of the center is 5

The coordinated of the center are (7, 5)

Now, we can use that the form of the asymptotes are:

We have:

Then:

a = 4

b = 3

Now we can write:

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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The inequality 4/3|1/4x+3|<4 are Ox>-13 and x < -11 or Ox<-24 and x > 0

We can begin by isolating the absolute value on one side of the inequality:

4/3|1/4x+3|<4

|1/4x+3|<3/2

We can then split this inequality into two cases, one for when 1/4x+3 is positive and one for when it is negative:

1/4x+3>0: 1/4x+3>3/2, so multiplying both sides by 4, we get x>-13 and x<-11

1/4x+3<0: 1/4x+3<-3/2, so multiplying both sides by -4, we get x<-24 and x>0

So, the solution is: Ox>-13 and x < -11 or Ox<-24 and x > 0

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Answer:

1.{2,8}

Step-by-step explanation:

that's my answer

Answer :

1. { 2, 8 }

x² - 10x + 16 = 0

x² - 2x - 8x + 16 = 0

x ( x - 2 ) - 8 ( x - 2 ) = 0

( x - 2 ) ( x - 8 ) = 0

x - 2 = 0

x = 2

x - 8 = 0

x = 8

Therefore,

the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.

The value of angle is 1/2 * mGDE=90° and 1/2 * mEFG=90°.

We are given that;

The quadrilateral DEFG

Now,

Since the sum of the arcs EG and GD is equal to the measure of arc ED, we can write:

arc ED = arc EG + arc GD

mEFG + mGDE = 1/2 * arc EG + 1/2 * arc GD

mEFG + mGDE = 1/2 * (arc EG + arc GD)

mEFG + mGDE = 1/2 * arc ED

Since we know that mEFG + mGDE = 180°, we can substitute this into the equation above:

180° = 1/2 * arc ED

arc ED = 360°

So,

1/2 * mGDE = 1/2 * arc GD = (360° - arc ED)/2 = (360° - 180°)/2 = 90°

1/2 * mEFG = 1/2 * arc EG = (360° - arc ED)/2 = (360° - 180°)/2 = 90°

Therefore, by the quadrilaterals answer will be 1/2 * mGDE=90° and 1/2 * mEFG=90°.

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Answer:

  h = 3V/(πr²)

Step-by-step explanation:

You want to find the height of a cone given the volume and radius.

You can find the height by using the volume formula and solving it for height.

  V = 1/3πr²h

Multiplying by the inverse of the coefficient of h gives ...

  3V/(πr²) = h

You can use this formula to find the height from the volume and radius:

  h = 3V/(πr²)

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The probability of at most six individuals in the sample having used a discount broker is calculated to be approximately 0.997.

To solve this problem, we need to use the binomial distribution formula. Let X be the number of individuals in the sample who have used a discount broker. Then, X follows a binomial distribution with parameters n = 9 and p = 0.3.

The probability of at most six individuals in the sample having used a discount broker can be calculated as follows:

P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 6)

Using a binomial probability table or calculator, we can find the individual probabilities and sum them up. Alternatively, we can use a normal approximation to the binomial distribution if the sample size is large enough (np and n(1-p) are both greater than 5).

Using the normal approximation, we have:

mean = np = 9 x 0.3 = 2.7

variance = np(1-p) = 9 x 0.3 x 0.7 = 1.89

standard deviation = √(variance) = 1.374

To standardize the distribution, we calculate the z-score:

z = (6.5 - 2.7) / 1.374 = 2.75

Using a standard normal distribution table or calculator, we find that the probability of a z-score less than or equal to 2.75 is approximately 0.997.

Therefore, the probability of at most six individuals in the sample having used a discount broker is approximately 0.997.

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The complete question is :

What is the probability that in a random sample of nine individual investors, at most six have used a discount broker, given that the American Society of Investors survey found that 30% of individual investors have used a discount broker?

Answer:

is it 2 because because 4÷2=2

Answer:

B. 2

Step-by-step explanation:

f(x) = 4 and 2 times 2 = 4

Answer:

H(2) = 7

H(-1) = -2

Step-by-step explanation:

(2)^4-2(2)^2-1

16-2(4)-1

16-8-1

8-1

7

(-1)^4-2(-1)^2-1

1-2(1)-1

-1-1

-2

\(-Xx^{4 }+HX-2x^{2}\)

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

1) The first iteration, n, turns out to be (x1, y1) = ( , ).

2) If the second iteration, n, is (x2, y2) = ( , ).

To find the values of (x1, y1) and (x2, y2), we need additional information or the specific steps of the gradient method applied in MATLAB. The gradient method is an optimization algorithm that iteratively updates the variables based on the gradient of the function. Each iteration involves calculating the gradient, multiplying it by the learning rate (λ), and updating the variables by subtracting the result.

3) After s many iterations (and perhaps changing the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt, yopt) = ( , ).

To determine the values of (xopt, yopt), the number of iterations (s) and the specific algorithm steps or convergence criteria need to be provided. The gradient method aims to reach the minimum of the function by iteratively updating the variables until convergence is achieved.

4) The value of the minimum, once the convergence is reached, will be determined by evaluating the function at the point (xopt, yopt). The specific value of the minimum is missing and needs to be provided.

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the complete question is:

Matlab The Gradient Method Was Used To Find The Minimum Value Of The Function North F(X,Y)=(X^2+Y^2−12x−10y+71)^2 Iterations Start At The Point (X0,Y0)=(2,2.6) And Λ=0.002 Is Used. (The Number Λ Is Also Known As The Size Or Step Or Learning Rate.) 1)The First Iteration N Turns Out To Be (X1,Y1)=( , ) 2)If The Second Iteration N Is (X2,Y2)=( ,

Matlab

The gradient method was used to find the minimum value of the function north

f(x,y)=(x^2+y^2−12x−10y+71)^2 Iterations start at the point (x0,y0)=(2,2.6) and λ=0.002 is used. (The number λ is also known as the size or step or learning rate.)

1)The first iteration n turns out to be (x1,y1)=( , )

2)If the second iteration n is (x2,y2)=( , )

3)After s of many iterations (and perhaps change the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt,yopt)=( , );

4)Being this minimum=

Answer:

Time when both earnings are equal = 5:00 Pm

Step-by-step explanation:

Given:

Total earning of Deanne = 6.50x

Total earning of Stephanie = 9.10(x -2)

Work started at 10:00 am

Find:

Time when both earnings are equal

Computation:

Total earning of Deanne = Total earning of Stephanie

6.50x = 9.10(x - 2)

6.5x = 9.1(x-2)

6.5x = 9.1x - 18.2

9.1x - 6.5x = 18.2

2.6x = 18.2

x = 18.2 / 2.6

x = 7 hour

So,

Time when both earnings are equal = Work started at 10:00 am + 7 hour

Time when both earnings are equal = 5:00 Pm

Answer:

The answer should be 12

Step-by-step explanation

he has 60 in his account already so add 35 and 15 (60+35+15=110) then add 48+24+50 which equals 122. Now subtract 110-122 and you'll get 12. so the answer is 12.

If we are told that ab=0, then we can infer that either a or b (or both) must be equal to 0.

This is because when the product of two numbers is 0, at least one of the numbers must be 0 according to the zero product property.

One of the most crucial concepts for pupils to understand in maths and science is the zero product property.

The greatest educators, mathematicians, and recognized scientists in the fields of physics and chemistry have worked with Vedantu to provide their insights on the subject.

Their suggestions helped us develop materials for your understanding that would make it simple for you to put these ideas into practice.

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Given the point (6,6) on the line and a slope of m = 0, three additional points that the line passes through can be determined. One possible set of points is (6,6), (5,6), (7,6), and (6,0).

When the slope (m) of a line is zero, it indicates that the line is a horizontal line. In this case, the line is parallel to the x-axis and does not have any vertical change. Therefore, the y-coordinate of any point on the line will remain constant.

Given the point (6,6) on the line, we can see that the y-coordinate is 6. Since the slope is zero, the y-coordinate will remain the same for any x-coordinate. Hence, three additional points on the line can be determined by varying the x-coordinate while keeping the y-coordinate constant at 6.

One possible set of points is (6,6), (5,6), (7,6), and (6,0). In this case, we keep the y-coordinate constant at 6 and choose different x-coordinates to form the points. These points lie on the horizontal line passing through (6,6) and have the same y-coordinate.

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Answer: 2600

Step-by-step explanation:

\(u_1=3\\u_2=5=3+2=3+2*(2-1)\\u_3=7=5+2=3+2*2=3+2*(3-1)\\u_4=9=3+2*3=3+2*(4-1)\\...\\u_n=3+2*(n-1)\\\\u_{50}=3+2*49=101\\\\\displaystyle \sum_{i=1}^{50}(3+2*i)=\dfrac{3+101}{2} *50=2600\\\)

Answer:

Sonnet 18. One of Shakespeare's best known and most loved sonnets, this reading explains that the stability of love will immortalize a partners beauty and youth. 'Shall I compare three to a summers day? And summers lease hath all too short a date.

Step-by-step explanation:

"The goal is to minimize regret" is not true of a finite Markov decision process. A finite Markov decision process is a mathematical model that deals with decision-making problems.

Markov decision processes are used to solve decision-making issues in the fields of economics, finance, operations research, artificial intelligence, and other fields. The following are the properties of a finite Markov decision process: You are repeatedly faced with a choice of k different actions that can be taken. The goal is to maximize rewards. Each choice's properties and outcomes are fully known at the time of allocation. The goal is not to minimize regret. The objective is to maximize rewards or minimize losses. Markov decision processes can be used to model a wide range of decision-making scenarios. They are used to evaluate and optimize plans, ranging from simple scheduling problems to complex resource allocation problems. A Markov decision process is a finite set of states, actions, and rewards, as well as transition probabilities that establish how rewards are allocated in each state. It's a model for decision-making in situations where results are only partly random and partly under the control of a decision-maker. 

Note: In a finite Markov decision process, the decision-making agent faces a sequence of decisions that leads to a reward. In contrast to the setting of a reinforcement learning problem, the agent has a specific aim and is not attempting to learn an unknown optimal policy. The decision-making agent knows the transition probabilities and rewards for each state-action pair, allowing it to compute the optimal policy.

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We have to find the probability that you are dealt a ten or a black card.

Out of the 52 card deck, there are 26 black cards.

There are also 4 cards that are tens, but there are 2 cards that are both black and tens.

Then, if we define B: the event of a black card and T: the event of a ten, we can calculate the probability of B or T as:

Replacing with the values of the probability (success events divided by the total possible events), we can solve this as:

Answer: the probability of getting a black or a ten is 23/52.

In linear equation,$7185.33 is the total benefits.

What are a definition and an example of a linear equation?

the total benefits of Juan Fuentes = $1,881.73 + $2,300.00 + $1,995.78 +          

                                                           $466.76 + $541.06

                                                          = $7185.33

the rate of benefits of Juan Fuentes =  $1,287.60

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Answer:

The ideal length is 16 feet

The ideal width is 8 feet

Step-by-step explanation:

The given parameters are;

The length of the fencing available to the homeowner = 32 feet

The number of sides of the rectangular chicken coup the fence will be applied = 3 sides

Let L represent the length and W, represent the width

Therefore, we have;

The perimeter of the fence = 2W + L = 32 feet

L = 32 - 2·W

The area is given by, A = Length, L × Width, W

A =   (32 - 2·W) × W = 32·W - 2·W²

Differentiating with respect to W and equating to 0 to find the maximum point gives;

dA/dW = d(32·W - 2·W²)/dW = 0

32 - 4·W = 0

4·W = 32

W = 32/4 = 8

W = 8 feet

Given that the sign of the variable in the equation of the derivative is negative, the value we get is the maximum point

The ideal width W = 8 feet

The length, L = 32 - 2·W = 32 - 2 × 8 = 16 feet

Therefore, the ideal length, L = 16 feet.

Reason:

We have 50 mint condition coins out of 250 total

This forms the ratio 50:250, in which we divide both parts by the GCF 50 to end up with 1:5

The ratio 1:5 tells us that the total is 5 times that of the number of mint condition.

Answer:

the firsst one trust bruv

Step-by-step explanation:

Option A is correct. The expression that is equivalent to the expression 5b+16 is 3b-6+2b+22

Sum of numbers is a way by which numbers or functions are added together.

According to the given question, we are to find the expression that is equivalent to 5b + 16.

Checking the first option 3b-6+2b+22.

Collecting the like terms

\(= 3b-6+2b+22\\= (3b+2b)-6+22\\=5b+16\\\)

Since the resulting expression is equivalent to 5b+16, this shows that the required expression is  3b-6+2b+22.

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Answer:

KM = 50 mm , ∠ K = 104°

Step-by-step explanation:

Note that KM = KL = 50mm ( congruent legs )

This indicates the triangle is isosceles with base angles congruent, both 38°

∠ K = 180° - (38 + 38)° = 180° - 76° = 104°

Answer:

So the answer is 398°

Step-by-step explanation:

hope it helps

The integral is convergent.
∫(4 - 147)/(x + 7)^(3/2) dx = -2(143)/(x + 7)^(1/2) + C

To determine the convergence of the given integral:
∫(4 - 147)/(x + 7)^(3/2) dx

We can use the substitution method where we let u = x + 7, then du/dx = 1, and dx = du.

Substituting these values, we get:
∫(4 - 147)/u^(3/2) du

Simplifying the integrand, we get:
∫(-143)/u^(3/2) du

Using the power rule of integration, we get:
-2(143)/u^(1/2) + C

Substituting back u = x + 7, we get:
-2(143)/(x + 7)^(1/2) + C

Since the integral has a finite value, we can say that the integral is convergent. Therefore,
∫(4 - 147)/(x + 7)^(3/2) dx = -2(143)/(x + 7)^(1/2) + C

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The value of the equation at x = 1, x = -1.5, and x = 8.5 will be 0.5, 7, and -20, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = - 3x + 2.5

The value of the equation at x = 1 will be given as,

y = - 3 × (1) + 2.5

y = - 3 + 2.5

y = - 0.5

The value of the equation at x = - 1.5 will be given as,

y = - 3 × (-1.5) + 2.5

y = 4.5 + 2.5

y = 7

The value of the equation at x = 8.5 will be given as,

y = - 3 × (8.5) + 2.5

y = - 22.5+ 2.5

y = - 20

The value of the equation at x = 1, x = -1.5, and x = 8.5 will be 0.5, 7, and -20, respectively.

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Complete question:

Answer:

£469

Step-by-step explanation:

Given the following

Original cost of car = £700.

Depreciation rate = 5.5%

Depreciation amount after 1 year = 5.5% * 700

Depreciation amount after 1 year = 0.055 * 700

Depreciation amount after 6 year =6 * 38.5 =  £231

Worth after 6 years =  £700 -  £231

Worth after 6 years = £469

The correct answer is:

£498.53

The angle ACB is tan⁻¹(80/a), the range of tan⁻¹(x) is (0, 90) and the time taken to reach the shore is a/30

The measure of ACB can be calculated using the following tangent trigonometry ratio

tan(ACB) = Opposite/Adjacent

So, we have

tan(β) = 80/a

Take the arc tan of both sides

So, we have

β = tan⁻¹(80/a)

So, the angle is tan⁻¹(80/a)

Given that the angle is an acute angle

The range of tan⁻¹(x) for acute angles can be found by considering the values of the tangent function for angles between 0 and 90 degrees.

Since tan(0) = 0 and tan(90) is undefined, the tangent function takes on all positive values in this range.

So, the range of tan⁻¹(x) for acute angles is (0, 90) degrees.

Here, we have

Distance = a

Speed = 30 km/h

The time taken to reach the shore can be calculated using the formula:

time = distance / speed

Substituting the given values, we get:

time = a / 30 km/h

Simplifying this expression, we get:

time = a / 30 hours

Therefore, the time taken to reach the shore is a/30 hours, where a is the distance to the shore in kilometers.

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