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Triss [41]
3 years ago
13

Can you help me solve for n n/-4+-21=13

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

n= -136

Step-by-step explanation:


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Consider the ODE, dy dx = y 2 1 + x (2) subject to condition y = 1 when x = 0, use your Euler code from class (modified if neces
makkiz [27]

Answer:

Computation.

Step-by-step explanation:

I'm not really sure if that's the analytical solution of the inital value problem,

because y(0)=11-ln(1-0)(3)=11. Howevwer, let us procede with the given values...

Let us assume that we are going to use euler with n=2 (two steps) and h=0.2(the size of each step)

The update rules of the Euler Methode are

X_i = X_{i-1}+h=X_0+ih

m_i=\dfrac{dY}{dX} \biggr \rvert_{x_i} \\\\Y_{i+1}=m_i\cdot h+y_i

Since the initial value problem tells us that Y=1 when X=0, we know that

X_0=0 and that Y_0=1. Then, we have

X_0=0\\\\X_1=0.2\\\\X_2=0.4

and

Y_0=1\\\\m_0=21 \cdot Y_0 + X_0 \cdot 2=21 \cdot 1 + 0=21\\\\Y_1=0.2 \cdot 21 + 1 =5.2\\\\m_1=21 \cdot Y_1 + X_1\cdot 2=21 \cdot 5.2 + 0.2 \cdot 2=109.6\\ \\Y_2=m_1 \cdot h + Y_1 = 109.6 \cdot 0.2 + 5.2= 27.12

which gives us the points (0,1), (0.2, 5.2) and (0.4, 27.12).

Now, since we want to compare the analyticaland the Euler result, we first compute the value of y=11-ln(1-x)(3) for the values x=0, 0.2 and 0.4. We get that

y(0)=11-\ln(1-0)(3)=11-ln(1)(3)=11\\\\Y(1)=11-\ln(1-0.2)(3)=11.67\\\\Y(2)=11-\ln(1-0.4)(3)=12.53

and we compute Y(i)-Y_i for each i.

It holds

Y(0)-Y_0=11-1=10\\\\Y(1)-Y_1=11.67-5.2=6.47\\\\Y(2)-Y_2=12.53-27.12=-14.59

which tells us that we have a really bad approximation, as I already stated there must be a mistake in the analytical solution since the intial values don't coincide. Also note that the curve that we get using the euler methose is growing faster than the analitical solution.

4 0
3 years ago
Help me fill the blank
Paraphin [41]

Answer:

the answer is (360 degrees

6 0
3 years ago
Trisha runs 3 miles every 50 minutes. At this rate, how many minutes did Trisha run in 12 miles?
SVEN [57.7K]

Answer:

200 minutes ; 3 hours and 20 minutes.

Step-by-step explanation:

If you write a proportion in the form

miles/minutes = miles/minutes

you would get 3/50 = 12/x

from there you cross multiply to get

3x=600, and solve that to get 200 minutes.


another way was to see that 12 is 3*4, and multiply 50 by 4 to get the same answer.

5 0
3 years ago
In an experiment, the population of bacteria is increasing
Nezavi [6.7K]

25 million

number of bacteria doubles every minute

6 0
2 years ago
1) Which linear equation BEST represents the line of best fit for the scatterplot? A) y = x B) y = 3x C) y = -3x D) y = 5x + 1 2
Tresset [83]

Answer:

1) A. y = x + 2

Once a line of best fit has been placed upon a scatter graph it is straightforward to find the equation. The general equation of a straight line is: y = mx + c Where m is the slope (gradient) of the line and c is the y-intercept.

4) d. strong positive correlation.

The slope of the line is positive. Most points lie close to the line.  

(I am not sure if this is correct or not, I am so sorry)

3 0
3 years ago
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