1. Create the canonical equations: a) of the ellipse; b) hyperbole; c) the parabola (A, B - points on the curve, F - focus, and - big (real) Semi, b - small (imaginary) half, ε - eccentricity, y = ± kx - hyperbolic equations of the asymptotes, D - Headmistress curve, 2c - focal length
1.14 a) b = 7, F (5, 0); b) a = 11, ε = 12/11; a) D: x = 10
2. Write the equation of the circle passing through these points and centered at the point A.
2.14 The top of the hyperbola 2x2 - 9y2 = 18, A (0, 4)
3. Find the equation of a line, every point M which satisfies these criteria.
3.14 spaced from the line x = 8 at a distance of two times greater than the point A (-1, 7)
4. Build a curve given by the equation in polar coordinates.
4.14 ρ = 3 (2 - cos2φ)
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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