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Ira Lisetskai [31]
2 years ago
8

Write the equation of the circle graphed below

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
7 0

Answer:

Step-by-step explanation:

Comment

The basic equation of a circle is

(x - a)^2 + (y - b)^2 = r^2

a and b are the coordinates of the center of the circle

r is the radius.

Development of the equation

r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.

So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2

The center is the red dot.

x = 1

y = - 1

Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4

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Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that

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Now, in the integral we get

\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx

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