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3 years ago

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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Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9. 42 squar

kap26 [50]

She needs to buy 6 bags of soil. the correct option is B

Given

Caisha has a circular garden with a radius of 4 ft.

She needs to put a layer of soil on top. e

Each bag of soil covers 9.42 square feet.

<h3>What is the radius of a circular garden?</h3>

The radius of the circular garden is equal to the pie times of the square of the radius.

The radius of the circular garden is;

$\rm Area = \pi r^2\\\\Area = 3.14 \times (4)^2\\\\ Area = 3.14\times 16\\\\Area =50.24$

Therefore,

The number of bags of soil will she need to buy is;

$\rm = \dfrac{Area }{Soil \ covers}\\\\= \dfrac{50.24}{9.42}\\\\= 5.33\\\\= 6 \ bags \ apporx$

Hence, she needs to buy 6 bags of soil.

To know more about the area click the link given below.

brainly.com/question/11541452

6 0

3 years ago

21.83 x 0.498 / 220.1

m_a_m_a [10]

Answer:

0.0493927

Step-by-step explanation:

21.83 x 0.498 / 220.1

7 0

3 years ago

Read 2 more answers

Which table does NOT represent a linear function

topjm [15]

TABLE D does NOT represent a linear function

<h2>Explanation:</h2>

The Table is shown below. Each table is a relationship between two variables, namely x and y. By plotting each table in a graphing tool we get:

TABLE A, FIRST FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{8-5}{-1-0} \\ \\ m=-3$

TABLE C, SECOND FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{5-10}{-1-0} \\ \\ m=5$

TABLE C, THIRD FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{1-2}{-1-0} \\ \\ m=2$

TABLE D, FOURTH FIGURE:

It is not a linear function. It is likely this is a parabola that opens downward.

<h2>Learn more:</h2>

Linear function: brainly.com/question/12560127

#LearnWithBrainly

5 0

3 years ago

Can anyone help me out on this not too sure on this

Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

5 0

3 years ago

Pls find x!!!!!!!!!!!!!!!!!!!!!

Andrews [41]

Answer:

120°

Step-by-step explanation:

The angle just below 'x' is 40° (alternate angles/parallel lines)

40 + x + 20 = 180 ( straight line)

x = 120°

6 0

2 years ago