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solong [7]
3 years ago
14

Midpoint 3 + 48 divide by 2 =

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

I don't know how you want the answer these are the different forms      Exact Form: 51 /2

Decimal Form: 25.5

Mixed Number Form: 25  1/2

Step-by-step explanation:

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What is the total area of the regions between the curves y = 6x2 − 18x and y = −6x from x = 1 to x=3?.
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Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

A = \int_{x = a}^{x = b} |f(x) - g(x)| dx

In this problem, we have that:

f(x) = 6x^2 - 18x, g(x) = -6x, a = 1, b = 3.

Hence, the area is:

A = \int_{1}^3 |6x^2 - 12x| dx

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Applying the Fundamental Theorem of Calculus:

A = |3^3 - 54 - 1^3 + 6|

A = 22

The area between the two curves is of 22 square units.

More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

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3 years ago
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