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A sports field is to have the shape of a rectangle with semi-circles put on the two ends. It must have a perimeter of 1300 meters. What is the maximum area possible for the rectangular part.
Describe the trees produced by breadth-first search and depth-first search of the complete bipartite graph Km,n, starting at a vertex of degree m.
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, which equation below could be used to find the depth of the pool?
A farmer wants to set aside a rectangular plot of land to contain 160 square meters. If the width is 19 less than the length, find the dimensions of the plot.
Suppose that A, B, and C represent conditions that will be true or false when a certain computer program is executed. Suppose further that you want the program.
A florist has a large number of roses, carnations, lilies, and snapdragons in stock. How many different bouquets of one dozen flowers can be made?
a carpenter used 30 ft of trim to finish 3 sides of the opening for a garage door. If the side paralle to the ground is 9 ft longer than either of the other two sides, then what are the dimensions of the doorway?
For each of the following sequences a0, a1, a2, . . . , determine a closed form for the generating series A(x) = a0 + a1x + a2x2 + · ·
a company has two major businesses that it operates. one business manufactures and sells unicycles for commercial use
the employees in a grocery store are handing out samples of a certain brand of pizza. this is the pizza companys way of
Design and implement a software system for catalogue sale. A catalogue is organised in a tree structure. Each node of the catalogue tree represents either an item for sale or a category. The following is an example of such a catalogue:
Find the average value of the function f(x) = cos^3x on the interval 0
Extend the algorithm SCHONING for 4SAT. Observe that the lower bound on the probability of moving toward α∗ in a local step decreases to 1/4 in this case. How many repetitions of random sampling followed by a local search are necessary to get a c..
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