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.
icon
Related questions
Question

PLs help ASAP. Pls show all work and steps. Pls circle the final answer also.

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.
Transcribed Image Text: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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill