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3 years ago

What is the rule of function? (0,0),(1,4),(2,16),(3,36)

1 answer:

5 0

When the first number increases by one the second number is added by 4's. So from the first part to the second it added 4 then from the 2nd to the 3rd it skips adding 8 to then just add 12. Then from the 3rd to the 4th it skips adding 16 and adds 20. So the next set of numbers would be (4,64) because it skips adding the 24 and adds the 28.
Hope this helps and is not to confusing :)

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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is

gladu [14]

$\mathbf f$ is conservative if we can find a scalar function $f$ such that $\nabla f=\mathbf f$ . This is equivalent to solving the system of PDEs,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+10y-9$

Integrate both sides of the first PDF with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

where $g$ is some function independent of $x$ . Then differentiatng with respect to $y$ , we have

$\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-9\implies g(y)=5y^2-9y+C$

and so $\mathbf f$ is indeed conservative, with

$f(x,y)=x^2-6xy+5y^2-9y+C$

3 0

3 years ago

What was the median number of posts made?

mariarad [96]

Using it's concept, it is found that the median number of posts made was of 8.5.

<h3>What is the median of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the total number of observations is the sum of the frequencies, hence:

T = 1 + 0 + 3 + 1 + 2 + 1 + 1 + 2 + 3 + 5 + 9 = 28

Even number, hence the median is the <u>mean between the 14th and the 15th elements</u>, of the ordered set, hence:

M = (8 + 9)/2 = 8.5.

To remind, the ordered set is: {0, 1, 1, 1, ..., 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10}

The median number of posts made was of 8.5.

You can learn more about the median at brainly.com/question/16103295

6 0

2 years ago

66 tens - 38 tens =<br> Just trying to make sure I’m showing my kids the write way and answer

Leni [432]

Answer:

66 tens - 38 tens= 58 tens

Step-by-step explanation:

You will start off by making the 6 in the ones place a 16 since you can't subtract 6-8 and change the 6 in the tens to a 5 since you borrowed. Hope this helps! :)

<h3>CloutAnswers</h3>

6 0

3 years ago

A polling company reported that 5353% of 10181018 surveyed adults said that rising gas prices arerising gas prices are "quite a

Sophie [7]

Answer: 540

Step-by-step explanation:

Given: A polling company reported that 53% of 1018 surveyed adults said that rising gas prices are "quite annoying."

To find: The exact value of 53% of 1018.

$53\%\text{ of }1018 = \dfrac{53}{100}\times1018$ [we divide a percentage by 100 to convert it into a fraction of decimal]