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Suppose vectors v1,,,,,,,,,,,vp span Rn, and let T : Rn → Rn be a linear transformation. Suppose T (vi) = 0 for i = 1,,,,,,,,p. Show that T is the zero transformation. That is, show that if x is any vector in Rn, then T (x) = 0.
Reading down and left to right, draw a time series plot of all the data and comment on any features of the data that are revealed by this plot.
Determine the intervals on which 'f ' is concave up and the intervals on which 'f ' is concave down. Find the values of all local minima and local maxima of 'f '. Explain why each value you find is a minimum or a maximum.
Janice bought 30 items each priced at 30 cents, 2 dollars, or 3 dollars. If her total purchase price was 30.00, how many 30-cent items did she purchase?
Write expressions for the mass and center of mass of a thin wire shaped like a plane curve C, if the wire has linear density function (x,y). (e) How do you evaluate such integrals?
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
A student finds the slope of the line between (14, 1) and (18, 17). She writes alg1.unit test.06.16. What mistake did she make?
question a 25.0 g piece of aluminum at 4.0 degrees is dropped into a beaker of water. the temperature of water drops
Water is poured into a conical reservoir at a rate of pi cubic feet per second (about 3 ft/sec). The reservoir has a radius of 6 ft across the top and a height of 12 ft. At what rate is the level of the water inside the reservoir increasing when th..
Find the average velocity of the tomato during the first 1.6 seconds? Find the instantaneous velocity of the tomato at t = 1.6.
If a rock is thrown upward on the planet Mars with a velocity of 13 m/s, its height in meters t seconds later is given by y = 13t - 1.86t2.
Prepare a statement of cash flows - Use the direct method of reporting cash flows from operating activities.
brad pitt gave one of his dozen kids 200000 when she was born. he told pita that she had to leave the money invested
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