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IDZ 4.1 - Option 16. Decisions Ryabushko AP
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Uploaded: 15.12.2022
Content: 16v-IDZ4.1.doc 190,5 kB
Product description
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
1.16 a) ε = 3/5, A (0, 8); b) A (√6, 0), B (-2√2, 1); a) D: y = 9
2. Write the equation of the circle passing through these points and centered at the point A.
2.16 B (1, 4), and - the vertex of the parabola y2 = (x - 4) / 3
3. Find the equation of a line, every point M which satisfies these criteria.
3.16 The ratio of the distances from point M to point A (2, 4) and B (3, 5) is 2/3
4. Build a curve given by the equation in polar coordinates.
4.16 ρ = 2cos6φ
5. Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
5.16 x = 2cost y = 2 (1-sint)
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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