Reference no: EM131066059
Let v be the center of mass of a system of point masses located at v1,,,,,,,,vk as in Exercise 29. Is v in Span {v1,,,,,,,,,,,,,,,,,vk }? Explain.
Exercise 29
A steam plant burns two types of coal: anthracite (A) and bituminous (B). For each ton of A burned, the plant produces 27.6 million Btu of heat, 3100 grams (g) of sulfur dioxide, and 250 g of particulate matter (solid-particle pollutants). For each ton of B burned, the plant produces 30.2 million Btu, 6400 g of sulfur dioxide, and 360 g of particulate matter.
a. How much heat does the steam plant produce when it burns x1 tons of A and x2 tons of B?
b. Suppose the output of the steam plant is described by a vector that lists the amounts of heat, sulfur dioxide, and particulate matter. Express this output as a linear combination of two vectors, assuming that the plant burns x1 tons of A and x2 tons of B.
c. [M] Over a certain time period, the steam plant produced 162 million Btu of heat, 23,610 g of sulfur dioxide, and 1623 g of particulate matter. Determine how many tons of each type of coal the steam plant must have burned. Include a vector equation as part of your solution.
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How much heat does the steam plant produce
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Express this output as a linear combination of two vectors
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