Water spraying from a large fountain follows a path modelled by the function h(d) = sa001-1.jpgd2 + 4d, for h ³ 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the fountain jet, both in Water spraying from a large fountain follows a path modelled by the function h(d) = -2/3d^2 + 4d, for h 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the fountain jet, both in meters.

Question

Water spraying from a large fountain follows a path modelled by the function h(d) = sa001-1.jpgd2 + 4d, for h ³ 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the fountain jet, both in Water spraying from a large fountain follows a path modelled by the function h(d) = -2/3d^2 + 4d, for h > 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the fountain jet, both in meters.
a) Graph the function (do not need to hand in) and use the graph to determine the maximum height of the fountain. (2 marks).

b)What horizontal distance does the water travel from the fountain jet before it reaches the maximum height? (2 marks)

Steve · Answer

You must have access to some graphing utility. Here is a good one: http://www.wolframalpha.com/input/?i=-2%2F3+d^2+%2B+4d&a=*MC.d^2-_*Variable-&a=UnitClash_*d.*Days.dflt--