Assessment - Optimization and Applications Achievement Level Outcome 10: Applications of Derivatives - Summative WWwww WWWW 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. Calculate the derivative using Implicit Differentiation: xy + y' =x2+ x+1W 3. 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? 4. For the given function you must determine: x & y - intercepts, Critical Points (you do not need to solve for Points of Inflections, meaning you only need to complete the 1" derivative to find local max/min points). Show Intervals of Increase & Decrease in a table (you do not need to show concavity). Show all of your work in an organized way and use the points found to sketch the graph. For any points that need to be written as a decimal, round to 2 decimal places. 2x - 5 f ( x ) = x2 - 1