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3 years ago

How can you convert the Heun’s Method into the Implicit Heun’s Method? Show an example

Mathematics

1 answer:

g100num [7]3 years ago

4 0

Answer:

Heun's method is also known by its other name called Modified Euler methods. This method is used in computational or mathematical science.

Step-by-step explanation:

Euler method is the method that is also pronounced in two similar stages such as Runge- Kutta methods. This method has been named after Dr. Heun.

This method is used for the solution of ordinary differential equations with its given values. There is some method to calculate this method. The improved Runge Kutta methods are also called the Butcher tableau method, the other methods are also called the Ralston methods.

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Given that g(x)=x-3/x+4 find each of the following.

maks197457 [2]

Given that the function g(x)=x-3/x+4, the evaluation gives:

g(9) = 6/13.
g(3) = 0.
g(-4) = undefined.
g(-18.75) = 1.07.
g(x+h) = x+h-3/x+h+4

<h3>How to evaluate the function?</h3>

In this exercise, you're required to determine the value of the function g at different intervals. Thus, we would substitute the given value into the function and then evaluate as follows:

When g = 9, we have:

g(x)=x-3/x+4

g(9) = 9-3/9+4

g(9) = 6/13.

When g = 3, we have:

g(x)=x-3/x+4

g(3) = 3-3/3+4

g(3) = 0/13.

g(3) = 0.

When g = -4, we have:

g(x)=x-3/x+4

g(-4) = -4-3/-4+4

g(-4) = -1/0.

g(-4) = undefined.

When g = -18.75, we have:

g(x)=x-3/x+4

g(-18.75) = -18.75-3/-18.75+4

g(-18.75) = -15.75/-14.75.

g(-18.75) = 1.07.

When g = x+h, we have:

g(x)=x-3/x+4

g(x+h) = x+h-3/x+h+4

Read more on function here: brainly.com/question/17610972

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8 0

2 years ago

Enter the equation in standard form.<br> y − 6 = −(x + 4)

worty [1.4K]

<h3>Answer: x + y = 2</h3>

====================================================

Work Shown:

y - 6 = -(x + 4)

y - 6 = -x - 4

y = -x - 4 + 6 ..... adding 6 to both sides

y = -x + 2

y + x = 2 .... adding x to both sides

x + y = 2

The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.

3 0

3 years ago

The length.of a hypotenuse of a right triangle is 32feet and the length of one of the lrgs is 18 feet. what is the length, to th

gayaneshka [121]

Use Pythagorean's Theorem to solve for the missing leg length.

$32^2-18^2=a^2$

with a being the length of the missing leg. Simplifying we have

$1024-324=a^2$

and

$a^2=700$ . If we are told to express our answer to the nearest tenth of an inch, then we are simply plugging that into our calculator to get 26.45 or, rounded correctly, 26.5