Please this is important, do it good, thank you very much

1. A rectangular piece of land is to be fenced in using two kinds of fencing. Two opposite sides will be fenced using standard fencing that costs $6/m, while the other two sides will require heavy-duty fencing that costs $9/m. What are the dimensions of the rectangular lot of greatest area that can be fenced in for a cost of $9000? 2. Determine the equation of the tangent line to the function f (x) = e* sin x at x = >. P(1) = 75 cos # (1-3) +725 3. The function approximates the population, P() , of rabbits in a nearby valley where t represents the month starting in 2012. (ie. t = 1 represents Jan in 2012) Determine the maximum and minimum populations and when they occur. 4. Two poles, one 6 meters tall and one 15 meters tall, are 20 meters apart. A length of wire is attached to the top of each pole and it is also staked to the ground somewhere between the two poles. Where should the wire be staked so that the minimum amount of wire is used? 15 6 20- x 5. Calculate each derivative using Implicit Differentiation: a) xy+y=x+x+1 b) y + xy+y+ 2x =0