Before I start, this is not me trying to get you to do my homework, I've done this already.
Try this on for size:
A parcel of land is bounded by a stream y = x + 3Pi/4 + (Pi/Sqrrt(2))*cos(x + 3Pi/4), and 3 wire fences x = 0, y = 0, and x = 2Pi. An 1 unit represents 100 metres. The y-axis points to the north.
There are a few questions first that are pretty easy. Skip to question d) if you want a challenge.
a) Find the exact coordinates of the 4 corners of the parcel of land.
b) Sketch the parcel of land. Label the boundaries with equations, and the corners with their coordinates.
ci) Write down a definite integral for the area of the parcel of land.
cii) Find the exact area (in m^2) of the parcel of land.

And the hard one:
di) A square building is to be erected on the parcel of land as far to the west as possible. Building regulations require it to be at least 15 metres from all boundaries.
Determine the floor area (correct to the nearest m^2) of the largest building possible.
To see the answer, scroll down and highlight the box:















_______
| 1529 |