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A ball is dropped from a height of 100m at the same time another ball is thrown verticaly upwards with a velocity of 25m/sec. Calculate when and where these ball meet?
What is the area of y=e^x, y=e^6x, x=0, x=ln2?
Find the general form of the solution of the equation x such that sin x = cos5x. Example: for the equation tan x=1, the solutions can be described by x = pi/4 + n*pi, nEZ
The radius of a circle changes by 1 mm, how will the length of the circle change?
How many diagonals the n-gon has?
Can a closed polyline have sides the lengths of which are 1, 2, 3, 4 and 11 meters?
Two circles are given. Their radiuses are R1 and R2. The distance between their centers is d1 (d1>R1+R2). What is the minimal and maximal distance between points X and Y which belong to these circles?
Where the points are located, if for these points x=0 and y=0?
The planes a and b are parallel to the plane c. Can planes a and b intersect?
Straight lines a and b are given. These lines don’t belong to the same plane. Can we draw a straight line, which is parallel to each of these lines?








