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A linear transformation T : R2 → R2 first reflects points through the x1-axis and then reflects points through the x2- axis. Show that T can also be described as a linear transformation that rotates points about the origin. What is the angle of that rotation?
A man rows a boat 280 feet upstream against a constant current in 8 minutes. He then rows 220 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
What is the expected CD4 count for a patient taking supplements who has had HIV for 2.5 years? Whatis the expected CD4 count for a patient not taking the supplements who was diagnosed with HIV at study enrollment? What is the expected CD4 count for a..
Find α given that 7i+5j-7k and αi-15j+21k are parallel
a lottery consists of 200 lottery tickets. there are 30 tickets with some prize and only three of them with the grand
water tank in the shape of hemisphere has radius a and depth h . what is the volume of water in the tank?
Artic Antifreeze is 18% alcohol and Frost-No-More is 10% alcohol. How many liters of Artic Antifreeze should be mixed with 7.5L of Frost. ... should be mixed with 7.5L
she suggests building fences described by y=4x2 and y=x2+5. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?
Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically.
each year a large university collects data on average beginning monthly salaries of its business school graduates.nbsp
Explain why Lillian might not want to scrap the equipment.
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
Suppose instead of working on the Euclidean plane we study geometry on a sphere in (Euclidean) three space. We interpret point to mean any point on the sphere and we interpret line to mean any great circle on the sphere (that is any circumference ..
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