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Suppose the solution set of a certain system of linear equations can be described as x1 = 5x4, x2 = 3 - 2x4, x3 = 2 + 5x4, with x4 free. Use vectors to describe this set as a "line" in R4.
Let v ∈ C4 be the vector given by v = (1, i, -1, -i). Find the matrix (with respect to the canonical basis on C4) of the orthogonal projection P ∈ L(C4) such that null(P ) = {v}⊥ .
A poster is to contain 384 cm^2 of printed material. The top and bottom of the page are to have margins of 6cm and the sides are to have margins of 4cm each. what are the overall dimensions of the poster of least area?
the perimeter of a standard high school basketball court is 268 feet. the length is 34feet longer than the width. Find the dimension of the court.
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
The front of the stage is 75 feet from the back wall and is 30 feet from the point where the side walls meet behind the stage. How much area is available for seating in the concert hall?
one canned juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in order to get 20L that is 23% orange juice.
Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
A 6-ft tall man walks away from a 10-ft tall streetlight at 6 ft/sec. How fast is his shadow increasing when he is 8 feet from the streetlight?
Which job should you take? After completing your degree you have a choice between 2 jobs suppose that you do not have a preference in location and have been given the following offer.
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
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