1. A developer wishes divide a property into lots. To access the lots, the developer must build a road which costs $3000 per foot to build, and will place lots on both sides of the road. They will also need to lay pipes which cost $1000 per foot from the road to the middle of each lot. They have $100 000 to spend on development per lot

1. If a lot has width y and length x, find the cost of developing the lot in term of x and y.
2. Using the cost of $100 000 find a formula for the width of the lot in terms of the length.
3. Find the length and width of the lot which will produce maximum area.

2. For the function fx=0.75 secx-34+0.5

1. Sketch the graph of this function on the interval [0, 2]. SHOW YOUR WORK.
2. Find all values of x in the interval [0, 2] for which 0fx2