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What is the least amount of material that can be used to make a soup can with a circular base and closed top with capacity 6 cubic inches?
What is the monthly payment?
Fnd two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of familiar elementary functions.
In a group of 40 students, 25 applied to Columbia and 30 applied to Cornell. If 3 students applied to neither Columbia nor Cornell, how many students applied to both schools?
A stained-glass window in a church is designed to be in the area between y is equal to negative x raised to the fourth power pluss 4096 and y is equal to zero (dimensions in feet). What is the area of the window?
Find the measure of the exterior angle x where ∠x = ( 197 - 5n)°, ∠y = ( 5n + 21)°, ∠z = (n + 11)°
The Orthogonal group On is the set of all nxn matrices with entries in R such that AA^t = 1. The special orthogonal group SOn is the subset of all matrices in On with det(A) = 1.
Provide probability distribution, histogram, and find the expected value of a coin that is tossed 3 times
What is the Cartesian product A B C , where A is the set of all airlines and B and C are both the set of all cities in the United States?
A farmer goes to the market and buys 100 animals at a total cost of $1000. If cows cost $50 each, sheep cost $10 each, and rabbits cost 50 cents each, how many of each kind does he buy?
The minute hand on a watch is 5 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.40. The fixed cost to run the grinding machine is $92 per day. If the company sells the reground platens for $4.40, how many must be reground daily to break even?
What is the line of symmetry? Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h)2 + k.
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