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Consider the following geometric 2D transformations: D, a dilation (in which x-coordinates and y-coordinates are scaled by the same factor); R, a rotation; and T , a translation. Does D commute with R? That is, is D(R(x)) = R(D(x)) for all x in R2? Does D commute with T? Does R commute with T?
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Lauren plans to deposit $3000 into a bank account at the beginning of next month and $250/month into the same account at the end of that month and at the end of each subsequent month for the next 7 yr.
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expenses reports submitted by ..
How long should each piece of the wire be to minimize the total area? What is the radius of the circle? How long is each side of the square?
A poster is to have an area of 160 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. Round your answers to four decimal places.
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
question the jones have rented a house for the past six years. during thieir first year of renting they paid 600 per
Find the rate of change of the angle of elevation of the airplane from the observer when the angle of elevation is 45 degrees?
A self-employed worker earned $47,000 during the year. The FICA tax for Social Security is 6.2% and the FICA tax for Medicare is 1.45%.
Unless otherwise specified, assume that all matrices in these exercises are n X n. Determine which of the matrices in are invertible. Use as few calculations as possible. Justify your answers.
Calculate the point elasticity of demand for a drug when the average income in the community equals 50,000 and price of the drug is 400 demand function
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