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zaharov [31]
3 years ago
5

How to solve the indefinite integral

Mathematics
1 answer:
Minchanka [31]3 years ago
3 0

Answer:

\frac{1}{4}x^4-x^2+3x+c

Step-by-step explanation:

Use the the integration rules for powers of x: \int x^n dx = \frac{1}{(n+1)} x^{n+1} and the additive property of integrals:

f(x) = \int (x^3-2x+3)dx= \int x^3 dx-2\int x dx+\int 3 dx = \\=\frac{1}{4}x^4-x^2+3x+c

with c being an arbitrary constant.

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Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a
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Answer:

A. (3x-2)^2

B. 5x-4y

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Step-by-step explanation:

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3 years ago
A study analyzed the average yearly salt intake in the united states from 2012 thru 2017. the data is summarized in the table: t
Yuki888 [10]

The significance of 3,548 estimates the average grams of salt used in 2012.

A connection between independent variables and the dependent variable.is defined by the function.

Functions help to represent graphs and equations. A function is represented by two variables, one is dependent, and another one is an independent function.

The study discovered that the function can represent the data after the year 2012 as,

f(x) = 52.3x + 3,548

Where x is the number of years since 2012.

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2 years ago
What is an equation of the line that passes through the point (8,-8)(8,−8) and is perpendicular to the line 4x-3y=184x−3y=18?
Kitty [74]

Answer:

The equation of the line is y = -\frac{3x}{4} - 2

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line 4x-3y=18

First, we place this line into the format, to find the slope:

4x - 3y = 18

3y = 4x - 18

y = \frac{4x}{3} - 6

This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:

\frac{4m}{3} = -1

4m = -3

m = -\frac{3}{4}

So the desired line will have an equation in the following format:

y = -\frac{3x}{4} + b

Passes through the point (8,-8)

We use this to find b. This point means that when x = 8, y = -8. So

y = -\frac{3x}{4} + b

-8 = -\frac{3*8}{4} + b

-8 = -6 + b

b = -2

So

y = -\frac{3x}{4} - 2

8 0
3 years ago
Finish the lyrics:
iragen [17]

Answer:

Time square can't shine as bright as you

I swear, it's true

Hey there, Delilah

Don't you worry about the distance

I'm right there if you get lonely

Give this song another listen

Close your eyes

Listen to my voice, it's my disguise

I'm by your side

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

What you do to me

Hey there, Delilah

I know times are gettin' hard

But just believe me, girl

Someday I'll pay the bills with this guitar

We'll have it good

We'll have the life we knew we would

My word is good

Hey there, Delilah

I've got so much left to say

If every simple song I wrote to you

Would take your breath away

I'd write it all

Even more in love with me you'd fall

We'd have it all

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

A thousand miles seems pretty far

But they've got planes and trains and cars

I'd walk to you if I had no other way

Our friends would all make fun of us

And we'll just laugh along because we know

That none of them have felt this way

Delilah, I can promise you

That by the time we get through

The world will never ever be the same

And you're to blame

Hey there, Delilah

You be good, and don't you miss me

Two more years and you'll be done with school

And I'll be makin' history like I do

You'll know it's all because of you

We can do whatever we want to

Hey there, Delilah, here's to you

This ones for you

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

What you do to me

Oh, whoa, whoa

Oh whoa, oh

Oh, oh

Step-by-step explanatio

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3 years ago
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