Center of the homogeneous cube
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.
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A standard (6 sided) die is rolled 5 times. How many possible sequences result in at most 2 ones?
Anakin is in fourth grade and has six different classes. His mother told him that she will take him to the pod races if he gets atleast 3 A's on his next report card.
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 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.
Determine an initial solution using the northwest corner rule. What special condition exists? Explain how you will proceed to solve the problem.
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}).
Describe that a graph G is bipartite if and only if each circuit in G has even length. (A graph G = (V, E) is said to be bipartite if there is a partition V=V1unionV2, with V1intersectionV2 = 0, such that each edge had one endpoint in V1 and the o
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