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Question: 1. List at least two criteria that (when present) prevent a tree from having a perfect matching.
2. Does every bipartite graph have a perfect matching?
3. What is the relationship between the number of edges in a matching and the number of vertices in that matching?
4. Is it possible for a graph with an odd number of vertices to have a matching?
5. Is it possible for a graph with an odd number of vertices to have a perfect matching?
when a circular plate of metal is heated, its radius increases at a rate of 0.02cm/min. at what rate is the plate's area increasing when the radius is 52 cm?
Write a formula to express the following sentence: The sale price is 20% off the original price. Use S for sale price and P for original price to express S as a function of P.
A sigmoid learning curve is used to model proficiency. Find the inflection point, the point where additional practice starts producing diminishing returns.
Connie walks fro her home to the bicycle repair shop at 6km/r and then bikes home at 20km/h. If the total traveling time is 39 minutes, how far is it from her home to the repair shop?
A cylinder is filled to a depth of 2 feet with 40 pounds of liquid. How much work is done pumping the liquid to a point 7 feet high? How high is the center of gravity of the liquid, and how much must it be raised?
How far did the messenger travel by land and how far by water?
Summarize the current status of factoring algorithms in terms of their complexity and the size of numbers that can currently be factored.
The length of a new rectangular playing field is 7 yards longer than tripple the width. If the perimeter of the rectanglar playing field is 464 yards
Describe an everyday situation between variables that is a function. Clearly explain why the relationship a function.
find two vectors in H whose sum is not in H, or find a vector in H with a scalar multiple that is not in H. Draw a picture.)
Read the "JET Copies" Case Problem on pages 678-679 of the text. Using simulation estimate the loss of revenue due to copier breakdown for one year
A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee, but it costs $2.50 to rent each movie. How many movies need to be rented each month for the to..
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