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12 Nov 2019
1 Describe the set of points in space that satisfy these equations or inequalities: 0
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Let W be the region in the xyz- space defined by the inequalities 0 z 2, y 0, 1/3x z 1/2x, 1/2 y2 z 2y2. Rewrite the inequalities for W in adequate form evaluating I= w ydV in the order dxdydz. Evaluate the integral.
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Let W be the region in the xyz- space defined by the inequalities 0 z 2, y 0, 1/3x z 1/2x, 1/2 y2 z 2y2. Rewrite the inequalities for W in adequate form evaluating I= w ydV in the order dxdydz. Evaluate the integral.
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A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat- Every package must provide at least 6 units of protein, at least 12 units of carbohydrates, and no more than 9 units of fat- Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package. a. Write a system of inequalities to express the conditions of the problem. b. Graph the feasible region of the system. a. Fill in the chart Let x be the number of ounces of fruit and y the number of ounces of nuts. Referring to the chart, give the three inequalities that x and y must satisfy because of the package?s requirements for protein, fat, and carbohydrate. Give the inequalities that x and y must satisfy because they cannot be negative. b. Graph the feasible set for the packaging problem. The feasible set is shaded.
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