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IrinaK [193]
3 years ago
14

F(1) = -3 f(n) = 2. f(n − 1) +1 f(2)=

Mathematics
1 answer:
Zarrin [17]3 years ago
5 0

<em>f</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>×</em><em> </em><em>f</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em><em> </em><em>+</em><em> </em><em>1</em><em> </em>

<em>f</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>×</em><em> </em><em>f</em><em> </em><em>(</em><em> </em><em>1</em><em> </em><em>)</em><em> </em><em>+</em><em> </em><em>1</em><em> </em>

<em>f</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>×</em><em> </em><em>(</em><em> </em><em>-</em><em> </em><em>3</em><em> </em><em>)</em><em> </em><em>+</em><em> </em><em>1</em><em> </em>

<em>f</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>6</em><em> </em><em>+</em><em> </em><em>1</em><em> </em>

<em>f</em><em> </em><em>(</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>5</em><em> </em>

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kvasek [131]

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:

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

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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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