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- Topic of discussion: Quotient rule with product rule and chain ruleApplication of derivative Optimization We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for of one pair of parallel sides is $3/m and cost of the material for the other pair of parallel sides is $8/m determine the dimensions of the field that will minimize the cost to build the fence around the field.Linear algebra, singular value decomposition
- elimination of first degree variable: 2x/3 - y/2 = 1a rectangle can be drawn in the first quadrant bounded by the curve y= 8-x^3, the x-axis, and the y-axis. determine the dimensions of the largest rectangle that can be drawnUse Application of Derivatives A wire of length L is to be cut into two pieces, one to form a square and the other to form an equilateral triangle. How should the wire be divided to maximize or to minimize the sum of the areas of the square and triangle?
- integration problem sketch a corresponding graphLinear Differntial Equation with Constant Coefficient.Application of derivative Optimization We are going to fence in a rectangular field. Starting at the bottom of the field and moving around the field in a counter clockwise manner the cost of material for each side is $6/ft, $9/ft, $12/ft and $14/ft respectively. If we have $1000 to buy fencing material determine the dimensions of the field that will maximize the enclosed.