Determine an initial solution
Determine an initial solution using the northwest corner rule. What special condition exists? Explain how you will proceed to solve the problem.
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A man has 3 dimes and 5 nickels in his pocket. To pay for newspaper, he will reach in his pocket as well as retrieve exactly 40 cents. Suppose that the 8 coins are distinguishable. How many manners are there to pay for the paper using all 3 dimes?
How many different dart boards are possible? What if we relax the restriction that the number 20 must be on top?
A hole having a radius r is to be drilled in the center of the homogeneous cube of side length a. determine the depth h of the hole so that the center of gravity G is as low as possible.
A curve with Cartesian equation y=f(x) passes through origin. Lines drawn parallel to the coordinate axes through an arbitrary point of the curve form a rectangle with two sides on the axes.
Find an isomorphic between the boolean algebra with set b ={ 0,1,p,p' } in formal logic and the boolean algebra wih set p({a,b}).
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A 10-year annuity-immediate pays 100 quarterly for first year. In each subsequent year, each payments is raised by 5% over the payment for the previous year.
Establish following isomorphisms (preferably, using Fundamental Homomorphism Theorem):
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