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faltersainse [42]
3 years ago
9

What is the equation of the ellipse with foci (5, 0), (-5, 0) and co-vertices (0, 4), (0, -4)?

Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

<span>The curve equation y3 + 3yx - x3 = 9</span>

Differentiate implicitly with respect to x.

<span>3y2(dy/dx) + 3[y + x(dy/dx)] - 3x2 = 0</span>

<span>3y2(dy/dx) + 3y + 3x(dy/dx)] = 3x2</span>

<span>(dy/dx)(3y2 + 3x) = 3x2 - 3y</span>

<span>dy/dx = 3(x2- y)/3(y2 + x)</span>

<span>dy/dx = (x2- y)/(y2 + x)</span>

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