can these questions be solved without using pie, can they be solved using the formula: a sin(k(t-d)+c) or a cos(k(t-d)+c).

1. A water wheel has a radius of 10 metres. 3 metres of the wheel is submerged under water. If the wheel makes one full revolution every 40 seconds and you start observing the water bucket at the axis:

a) Determine the height of the bucket after 32 seconds.

b) Determine when the height of the bucket is 11 metres.

2. The population, p(t) of a lakeside town with a large number of seasonal residents can be modeled using the function p(t)=5000sin(30(t-7)+8000 where t is the number of months after New Year's Day.

a) Determine the maximum and minimum population for the year.

b) When is the population at a maximum? A minimum?

c) What is the population on September 30th?