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Mashutka [201]
2 years ago
5

What would be the result of 100 plus 4% for 12 years

Mathematics
1 answer:
VashaNatasha [74]2 years ago
8 0

Answer:

100.04

Step-by-step explanation:

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Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y
GuDViN [60]

Answer:

Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.

In first place, we need to know all the values the problem is giving:

  • The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
  • The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
  • The initial condition is y(0) = 9. In other words, x_{o} = 0\\y_{0}=9.

So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be: x_{1}=0.2; then x_{2}=0.4; x_{3} =0.6; x_{4} =0.8;x_{5} =1; and so on.

Now, we have to apply the formula to find each y-value until get the match of x_{5}=1, because the problem asks the solution y(1).

According to the Euler's method:

y_{1} =y_{0} +hF(x_{0};y_{0})\\y_{2} =y_{1} +hF(x_{1};y_{1})\\y_{n} =y_{n-1} +hF(x_{n-1};y_{n-1})

Where F(x;y)=x^{2} y-12y^{2}, and x_{0} =0; y_{0} =9; h=0.2.

Replacing all values we calculate the y-value assigned to x_{1}:

y_{1} =9+0.2((0)^{2} 9-12(9)^{2})=-185.4.

Now, y_{1} =-185.4, x_{1} =0.2; h=0.2. We repeat the process with the new values:

y_{2} =y_{1} +hF(x_{1};y_{1})  \\y_{2} = -185.4+0.2((0.2)^{2} (-185.4)-12(-185.4)^{2} )\\y_{2}=-82682.47

Then, we repeat the same process until get the y-value for x_{5} =1, which is y_{5} = -1.0018, round to four decimal places.

Therefore, y(1)=-1.0018.

7 0
3 years ago
Suppose you earn $6.15 per hour working part time at a dry cleaner. Write and solve an inequality to find how many full hours yo
mylen [45]

Answer:17 hours


Step-by-step explanation: 6.15times17



3 0
2 years ago
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Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ROP?
Murrr4er [49]
The answer is 41, because I just took the quiz and that was the correct answer :)
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How to solve subtracting rational coefficients
yuradex [85]

Step-by-step explanation:

There are a few steps to follow when you add or subtract rational expressions with unlike denominators.

To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.

Write each expression using the LCD. Make sure each term has the LCD as its denominator.

Add or subtract the numerators.

Simplify as needed.

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