Mimosa1233

29.11.2021 19:50

Математика

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За
буду рад, если найдётся решение одной
exercise 1: given the equation of the first line passing through the points
exercise 2: given the normal vector ̅ = (1, 2) and point (0, 0) on line
exercise 3: given the equation of an ellipse (−)
2
2 +
(−ℎ)
2

2 = 1 . graph it and find its foci, vertices and eccentricity.

exercise 4: given the equation of hyperbola (−)
2
2 −
(−ℎ)
2

2 = 1. graph it and
find its foci, vertices, eccentricity and asymptotes

exercise 5: given the equation of parabola ( − ℎ)
2 = 2( − ). graph it and
find its focus and directrix.

exercise 6: given the plane passing through three points 0, 1, 2
a. find the normal vector of a plane
b. write down the equation of a plane
c. find the distance from point (0, 0, 0) to the plane
exercise 7: given the equations of the plane
a. check if they are parallel or not
b. if they intersect, find intersection line
c. find angle between them​