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The covariance matrix below was obtained from a Landsat image of the Columbia River in Washington, using data from three spectral bands. Let x1, x2, x3 denote the spectral components of each pixel in the image. Find a new variable of the form y1 = c1x1 + c2x2 + c3x3 that has maximum possible variance, subject to the constraint that c21 + c22 + c23 = 1. What percentage of the total variance in the data is explained by y1?
Sketch the curve represented by the vector-valued function and give the orientation of the curve r(t) = 2sin ti + tj + 3cos tk.
Write an equation using the following information: Each represents an exponential function with base 2 or 3 translated and/or reflected
It costs a company $12 to purchase an hour of labor and $15 to purchase an hour of capital. If L hours of labor and K units of capital are available, then L23K13 machines can be produced. Suppose the company has $10,000 to purchase labor and capit..
Once you have the graph of a line, how can you find its slope? Does it matter which points you choose to find the slope? Does the slope vary depending on your choice of points?
Determine the possible range of values of x1 and x2.
Find the standardized test statistic t for a sample with n = 12, x = 20.6, s = 2.1, and alpha = 0.01 if Ha:mean does not equal 21.1 Round your answer to three decimal places.
suppose that a random sample of 25 retail merchants from all of the 5000 merchants in a large city yielded a mean
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
a)Use Laplace transforms to solve the IVP: y'' + 4y = 0, y(0) = 1, y'(0) = -1 b)Find the Laplace of e^(2t)cos(3t).
ill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $6000 plus 9% sales tax. How much are the monthly payments Jill must make to her fathe..
john went to the store. he bouht a lamp for 56.56 that was on sale 20 percent then you can talk an additional 50
The actual weight of soap powder in a box has a normal distribution, with a mean of 33 oz. and a standard deviation of 0.7 oz. What proportion of packets are underweight (i.e., weigh less than 32 oz.)?
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