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If a 2 lb weight stretches a spring 15 inches and a 12 lb weight stretches the same spring 20 inches, what is the length of the spring with no weight attached.
Find the mass and center of masss of the solid S bounded by the paraboloid z= 4x^2 + 4y^2 and the plane z= a (a is greater than 0) if S has constant density K.
Linear Transformations, Rotations, Submodules and Subspaces, (7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule f..
Find the probability that a randomly selected degree is not in Business & is not in Engineering?
Please solve for the following system of equations. Include all of the steps which are involved:
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.
Consider a standard deck of playing cards. You randomly select a card from the deck and find that you have drawn a face card.
Develop a plan for the distribution of salary increases. Suppose you are employed in a local industry, and your supervisor has assigned you to distribute annual raises that must average 4% per department among 6 team members.
Smalltown Elevator produces elevator rails. To meet specifications, an elevator rail must be between 0.995 inches and 1.005 inches in diameter. Suppose that the diameter of an elevator rail follows a normal random variable with mean of 1 inch
Inquiries of the Poisson Portal interactive query system arrive at the central computer in a Poisson pattern at an average rate of 13 inquiries per minute.
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.01x machines per week.
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