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OlgaM077 [116]
3 years ago
13

Answer PLZ NEED AN ANSWERS

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
The answer to this question is b
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Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0
Debora [2.8K]

So, the definite integral  \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

Given that

\int\limits^1_0 {x^{2} } \, dx = 13

We find

\int\limits^1_0 {(4 - 6x^{2} )} \, dx

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4    - 6\int\limits^1_0 {x^{2} } \, dx

Since

\int\limits^1_0 {x^{2} } \, dx = 13,

Substituting this into the equation the equation, we have

\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

Learn more about definite integrals here:

brainly.com/question/17074932

4 0
2 years ago
You have a board of wood that measures 9 3/4 feet. You cut a piece off the board measuring 2 15/16 feet and then another piece m
denpristay [2]
No u only have 2 7/16
7 0
3 years ago
Ron is designing a new slide for the amusement park in town the slide makes an angle of 39 degrees with the ground.The top of th
Fynjy0 [20]

Answer:

The length of the slide he needs to make = AC = L = 14.3 ft

Step-by-step explanation:

From the Δ ABC

AC = Length of the slide = L

AB = 9 ft

\theta = 39 °

From  Δ ABC

\sin \theta = \frac{AB}{AC}

Put all the value in the above formula

\sin 39 = \frac{9}{L}

L = \frac{9}{0.629}

L = AC = 14.3 ft

Therefore the length of the slide he needs to make = AC = L = 14.3 ft

3 0
4 years ago
What is the slope line that would be parallel to the given line???
Serjik [45]

Slope of a line parallel to given line is equal to slope of given line.

<u>SOLUTION:</u>

Given that, we have to find the slope of any line that is parallel to a line in the co – ordinate plane.

We know that, slope of a line is tan( angle  of a line made between that line and the x – axis)

So, consider two lines which are parallel , then, angles made by both the parallel lines will be equal with the x – axis.

Then, tan( angle by 1st line) = tan( angle by 2nd line)

Which means that, slope of two lines will be equal.

Hence, slope of a line parallel to given is equal to slope of given line.

6 0
3 years ago
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