2. A section of rollercoaster can be modelled by h(x)=- 1 -x(x³- 3-56 x²+896x-4096) where ' Χ 400 is the horizontal distance and 0≤x≤32 h is the height relative to the platform, with all measurements in meters. (a) (i) Find the value of h(8) and h(16) . (ii) Hence, factorize h(x) completely. (b) Sketch the graph of y=h(x) and determine the number of times that the train descends in this ride. Explain your answers.
2. A section of rollercoaster can be modelled by h(x)=- 1 -x(x³- 3-56 x²+896x-4096) where ' Χ 400 is the horizontal distance and 0≤x≤32 h is the height relative to the platform, with all measurements in meters. (a) (i) Find the value of h(8) and h(16) . (ii) Hence, factorize h(x) completely. (b) Sketch the graph of y=h(x) and determine the number of times that the train descends in this ride. Explain your answers.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.1: Lines
Problem 4ECP: Find the distance between the point 3,2 and the line 3x+5y=2.
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