The growth of 100 young trees near a river is given below. At most 50 yards from the river (Event Y) More than 50 yards from the river (Event Z) Grew at most 3 feet during the year (Event E) 10 35 Grew more than 3 feet during the year (Event F) 50 5 If a tree grew more than 3 feet during the year, how much more likely is it that the tree was at most 50 yards from the river?

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35. a insulated cylinder of solid gold (k 310 kw/m-k) of radius v2 m and height 5 m is heated at one end until the temperature at each point in the cylinder is given by w(r, y, z) (30 z2)(2-(r2+ y2). determine the rate of heat flow across each horizontal disk given by z 1, z 2, and z 3, identifying which has the greatest rate of heat flow across it.

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