Maximising and minimising
The Task
Which is bigger, The Big One or Oblivion?
Using differentiation find the difference between maximum and minimum heights for both the roller
coasters.
The height of the Oblivion coaster can be determined for 10 seconds after the coaster comes out of a
loop by this polynomial
Calculate maximum and minimum heights using differentiation then draw the graph (by hand)
Confirm the factors of the Oblivion Coaster using factor theorem.
The brochure for The Big One coaster says that the height of the coaster can be determined by this
polynomial model for the first 10 seconds
Calculate maximum and minimum heights using differentiation then draw the graph (by hand)
Compare the underground areas using the Trapezium rule and then confirm the areas using definite
integration.