IDZ 4.1 - Option 9. Decisions Ryabushko AP

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Uploaded: 28.06.2020
Content: 9v-IDZ4.1.doc 203,5 kB

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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
1.9 a) A (0, √3), B (√14 / √3, 1); b) k = √21 / 10, ε = 11/10; a) D: y = -4

2. Write the equation of the circle passing through these points and centered at the point A.
2.9 Focuses hyperbole 4x2 - 5y2 = 80, A (0, -4)

3. Find the equation of a line, every point M which satisfies these criteria.
3.9 spaced from the line y = 7 at a distance five times greater than from the point A (4, -3)

4. Build a curve given by the equation in polar coordinates.
4.9 ρ = 4sin3φ

Additional information

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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