NEM1001 - Algebra & Calculus - The Ferris Wheel - Algebra Assignment Help

Assignment Task

Task 1:
What is the minimum and maximum height of a capsule on the Ferris Wheel?

Task 2:
Determine the heights of each of the capsules on the Ferris Wheel while passengers either embark or disembark a capsule. Present these heights in table form, with
appropriate labelling.

Task 3:
Determine the time when the final passenger(s) will disembark the capsule and the Ferris Wheel cease for the evening (remember that the final passengers will embark
no later than 10pm (so, at 10pm, they can) and the first passengers embark at 4pm). Note, it is possible that the final passenger(s) may embark the capsule prior to 10pm,
so the answer to this task may not be as easy as 10pm + 6x, in some cases.

Task 4:
Evaluate the number of capsules that will have passenger(s) embark for any particular day, given the Ferris Wheel will commence at 4pm and the time for passenger(s) to embark and disembark is considered negligible.

Task 5:
If the swimmer swims north from point P, find the distance, in metres, the swimmer needs to swim to get to the north bank of the river.

Task 6:
If the swimmer swims east from point P, find the distance, in metres, the swimmer needs to swim to get to the north bank of the river (Hint: Use a graphics calculator or Online App to assist in the solution to this task).

Task 7:
Calculate the surface area, using integration, of the river in the park as shown in the diagram above.

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