These pdfs are excellent
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These pdfs are excellent
I’d like to see a solution to this:
1948 B2: “A penny in a corner.” A circle moves so that it is continually in contact with all three coordinate planes of an ordinary rectangular system. Find the locus of the center of the circle.
A coast artillery gun can fire at any angle of elevation between
and
in a fixed vertical plane. If air resistance is neglected and the muzzle velocity is constant(
), determine the set
of points in the plane and above the horizontal which can be hit.
A Politically relevant math problem!
For reference this is: 1947 A4
Find the probability that 10 points randomly selected on a sphere are within a hemisphere of each other.