Find an equation for the upper half of the circle x² + (y - 3)² = 4. Repeat for the right half of the circle.

Marvin Mccormick

Marvin Mccormick

Answered question

2020-11-14

Find an equation for the upper half of the circle x²+(y3)²=4. Repeat for the right half of the circle.

Answer & Explanation

Khribechy

Khribechy

Skilled2020-11-15Added 100 answers

We are given the equation:
x2+(y3)2=4
To find the upper half, solve for y, taking the positive solution:
(y3)2=4x2
y3=±4x2
Remember, take the positive solution:
y3=4x2
y3+4x2
To find the right half, solve for xx, taking the positive solution:
x2=4(y3)2
x2=±4(y3)2
Remember, take the positive solution:
x=(4(y3)2)

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