Question
Two cyclists start from the junction of two perpendicular roads, there velocities being and , respectively. Find the rate at which the two cyclists separate.
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Question 1
Show that the right-circular cone of least curved surface and given volume has an altitude equal to times the radius of the base.Question 2
Let f be a function defined on [a, b] such that , for all . Then prove that f is an increasing function on (a, b).Question Text | Two cyclists start from the junction of two perpendicular roads, there velocities being
and
, respectively. Find the rate at which the two cyclists separate. |