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Question: 1. Use induction to prove the sum principle for n finite sets.
2. Show that if z ∈ Z and z2 | z, then z ∈ {-1,0,1}.
3. If three cats like tuna, five cats like salmon, two cats like both tuna and salmon, and one cat does not like fish at all, how many cats have been consulted?
4. Find χ(G) and χ' (G) for the two graphs shown in Figure.
Given a sheet of paper 8.5" by 11", fold the top left corner down to a point on the bottom edge. Where should you place this corner to maximize the area of the triangle formed in the bottom Left corner
An open box is formed by cutting squares with side lengths of 4 inches from each corner of a square piece of paper. What is a side length of the original paper if the box has a volume of 784 cubic inches?
complete assignment.
The circumference of a sphere was measured to be 85.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area
the perimeter of a rectangle is 160 meters, express the area A as a function of the length L, and state the domain of this function.
Calculate the water-side coefficient if the water is at an average temperature of 30 ºC. atwhich temperature k= 0.614 W/m-K, ρ= 996 kg/m3, and μ= 0.000803 Pa-s.
Consider the farmer in Exercise 7 whose field borders the river. Assume he wants the area of the plot to be 800 square feet. What should its dimensions be if he wants to use the least amount of fencing?
In your judgment, is Intel a "monopoly"? Did Intel use monopoly-like power; in other words, did Intel achieve its objectives by relying on power that it had due to its control of a large portion of the market? Explain your answers.
Ethan Sherwood owns two printing presses, on which he prints two types of jobs. At the beginning of each day, there is a .5 probability that a type 1 job will arrive, Use the policy iteration method to determine an optimal stationary policy
At Rose State College, Alison Wells received the following grades in her online accounting class: 87, 58, 77, 81, 73, and 92. Alison's instructor, Professor Clark, said he would drop the lowest grade.
CREDIT CARD PAYMENTS The outstanding balance on Bill's credit-card account is $3200. The bank issuing the credit card is charging 18.6%/year compounded monthly.
a pet cemetary sells plots for 3000 plus an amount calculated to provide for the cost of maintaining the grounds in
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