You earn 15n15n dollars for mowing nn lawns. how much do you earn for mowing one lawn? seven lawns?

Effectus [21]

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a definite integral. Euler's method is a multi-step method, related to Runge-Kutta methods, used to estimate integral values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a) (1)

The steps of Euler's method are summarized below:

Define the function seen in the statement by the label f(x₀, y₀).
Determine the different variables by the following formulas:

xₙ₊₁ = xₙ + (n + 1) · Δx (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ) (3)
Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the numerical approximation of the definite integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

#SPJ1

7 0

1 year ago

What's 672 divided by 32

Ksivusya [100]

Answer: 21 . . . . . .

Credit to the person below-

3 0

3 years ago

Read 2 more answers

Express it in slope-intercept form.

FinnZ [79.3K]

Answer:y=3/2x-3

Step-by-step explanation: the slope of the graph is (y2-y1)/(x2-x1)

If we take points (0,-3) (2,0) the slope would be (0--3)/(2-0) = 3/2

And the y-intercept of the slope is -3

8 0

3 years ago

The number of violent crimes committed in a day possesses a distribution with a mean of 2.2 crimes per day and a standard deviat

VARVARA [1.3K]

Answer:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

$\mu_{\bar X}= 2.2$

$\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6$

Step-by-step explanation:

For this case we have the following info given:

$\mu = 2.2$ represent the mean

$\sigma = 6$ represent the deviation

We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

$\mu_{\bar X}= 2.2$

$\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6$

6 0

3 years ago

I need help with this work

Anton [14]

Answer:

Please find the answer in the image attached

Step-by-step explanation:

Here we are asked to solve a pair of linear inequalities.

In order to do so , we are first required to plot the two lines with inequalities taking into considerations.

Hence let us plot

x+2y=-4 and 5x+2y=4

let us first plot x+2y=-4

$y=\frac{-4-x}{2}$

let us plot a table for the same for two random values of x and putting them into above equation

x y

0 -2

2 -3

Let us now plot these points and join the line .

Let us check whether (0,0) satisfies the in equation or not

0+2(0)≤-4

0≤-4

Which is not true , Hence we shade the portion divided by our line which does not contain (0,0)

Now let us plot the second line 5x+2y=4

$y = \frac{4-5x}{2}$

let us plot a table for the same for two random values of x and putting them into above equation

x y

0 2

1 -0.5

Let us now plot these points and join the line .

Let us check whether (0,0) satisfies the in equation or not

5(0)+2(0)≤4

0≤4

Which is true , Hence we shade the portion divided by our line which does contain (0,0)

Please refer to the image attached with this answer.

now the commonly shaded area as shown in the image will be our solution to the above pair of in equations.

3 0

3 years ago