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3 years ago

I need help please.

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

tens: 9

hundreds: 2

thousands: 5

Step-by-step explanation:

you just look at what number is in each catagory

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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

Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much

Sauron [17]

Answer:

Step-by-step explanation:

Simple interest is given as

S.I = PRT/100

Where

S.I is simple interest

R is rate in %

P is the principal

And T is time in years

So, given that

Principal (P)=£1500

Rate(R) =2%

Time(T)= 3years

Then, we are asked to find amount after 3years

S.I=PRT/100

S.I=1500×2×3/100

S.I= £90

This is the interest Brian will receive

So, the money will amount to

Amount=Principal + interest

Amount = 1500+90

Amount = £1590.

So Brian will have £1590 after 3years

4 0

3 years ago

Read 2 more answers

A scientist measured the width of a square flake of gold to be7.3 x 10 -4mm what is the area of the flake

irakobra [83]

The area of square flake of gold is $53.29 \times 10^{-8} \mathrm{mm}$

<h3><u>Solution:</u></h3>

Given that width of square flake of gold is $7.3 \times 10^{-4}$ millimeter

To find : Area of square flake

Since gold flake is in shape of square, we can use area of square formula

<em><u>The formula for area of square is given as:</u></em>

$area = s^2$

where "s" is the length of one side

$\begin{array}{l}{\text { Area of a square flake }=\left(7.3 \times 10^{-4}\right) \times\left(7.3 \times 10^{-4}\right)} \\\\ {\text { Area of a square flake }=53.29 \times 10^{8}}\end{array}$

Hence , the calculated area of flake is $53.29 \times 10^{-8} \mathrm{mm}$

7 0

3 years ago

Cd can also be called dc

Montano1993 [528]

Yes it can be , in this case it doesn't matter which way it goes

4 0

3 years ago

Plz help on all of this these

soldier1979 [14.2K]

7.) 170
8.) 9
9.) 44
10.) -124
11.) -99
12.) 84
13.) 88
14.) -1080
15.) -27
16.) -81
17.) -27
18.) -81

3 0

3 years ago