A ball is thrown from the top of a cliff. Path of a ball may be modelled by the equation y=- 0.05x^2 + 1.5x+ 82(x>0), where is x the horizontal distance from the foot of the cliff and y is the height above the foot of the cliff.
a. find an expression for dx/dy
b.Hence find the maximum height reached by the ball.
c. Justify that the height you found in part b is maximum point
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