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IDZ 4.1 - Option 5. Decisions Ryabushko AP
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Uploaded: 28.06.2020
Content: 5v-IDZ4.1.doc 208 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
1.5 a) 2a = 22, ε = √57 / 11, b) k = 2/3, 2c = 10√13; a) symmetry axis Ox and A (27: 9)
2. Write the equation of the circle passing through these points and centered at the point A.
2.5 foci of the ellipse 9x2 + 25y2 = 1, A (0, 6)
3. Find the equation of a line, every point M which satisfies these criteria.
3.5 Sum of squares of the distances from point M to point A (4, 0) and B (-2, 2) is equal to 28
4. Build a curve given by the equation in polar coordinates.
4.5 ρ = 2 / (1 + cosφ)
5. Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
5.5 x = 4cost y = 5sint
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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