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Create a polynomial function that satisfies the following conditions:
has an initial height of 0 m.
reaches a height of 450 m after 1 sec.
Dives below the ground at 3 m.
Comes out of the ground at 6 s
Then goes the ground barely touches it and comes back up at 11 s
Then dives into the ground at 14 s and comes back out a second later - at which point the ride ends.
Using the function you created in part A determine the local maximum and minimum heights of the roller coaster.
Determine the intervals of increase and decrease.
Determine the points of inflection and the intervals where the function is concave up and concave down.

  • Calculus -

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