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Vsevolod [243]
2 years ago
7

PLEASE HELP WHAT ARE THE coordinates for the center of the hyperbola??

Mathematics
1 answer:
solong [7]2 years ago
3 0

Answer:

The coordinates of the center of the hyperbola are (1,-3)

Step-by-step explanation:

Equation of a hyperbola:

The equation of a hyperbola with center (x_0,y_0) is given by:

\frac{(x - x_0)^2}{a^2} - \frac{(y - y_0)^2}{b^2} = 1

In this question, we have that:

-x_0 = -1 \rightarrow x_0 = 1

-y_0 = 3 \rightarrow y_0 = -3

The coordinates of the center of the hyperbola are (1,-3)

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Answer:

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Step-by-step explanation:

Use the method of integration by parts. The method is based in the following rule of derivation of two functions f and g :

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\int x\sqrt{1-x} dx = -\frac{2}{3}x(1-x)^\frac{3}{2}+\frac{2}{3}\int (1-x)^\frac{3}{2}dx=\\ =-\frac{2}{3}x(1-x)^\frac{3}{2}-\frac{4}{15}(1-x)^\frac{5}{2}+C=\\=-\frac{2}{15}(1-x)^\frac{3}{2}(3x+2)+C

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