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1. Which vertex plays the role of v in Kempe's false proof?
2. Make a one-to-one correspondence between the colors of v's neighbors in Figure 13.22 and the numbering of colors used in our version of Kempe's false proof.
3. Identify the different Kempe chains emanating from neighbors of v. Which chains play the roles of the color-1-color-4 Kempe chain and the color-2- color-4 Kempe chain in Kempe's false proof?
A family made an investment for 1 year that earned $7.50 simple interest. If the principal had been $25 more and the interest rate 1% less, the interest would have been the same. Find the principal and the rate.
Let m=1517 and let e =17. Encode messages x by computing xe mod m. If x=2, what is the encoded message? If the encoded message is 2, what is the message x?
Find the horizontal and vertical asymptotes of the curve. y = (8 + x4) / (x2 - x4). Find the limit, if it exists. limx→∞(x + x3 + x5) / (2- x2- +x4). Find the limit, if it exists. limx→∞cos x.
the amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.38 liters. a
Compute the work required to compress a spring 2 more cm when it is already compressed 3 cm, assuming that the spring constant is k = 150 kg/s2.
to determine the number of deer in a game preserve, a converationist catches 497 deer, tags them and lets them loose Later, 768 deer are caught 192 of them are tagged. How many deer are preserved.
The lengths of individual fish in a pond have an approximate Normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. A sample of 36 fish is taken. What is the standard deviation of the sampling distribution of the sample mea..
Use Taylor's expansion to arrange the function in ascending order - explain briefly how the Taylor expansions tell you what order the functions
If the distance the car traveled after applying the brakes equals 20 feet, what does that mean to the officer investigating the accident? (HINT: Let d = 20, bring 20 to the right so that the equation equals zero, identify the coefficients, A, B an..
Induces a surjective homomorphism of fundamental groups.
a sample of 100 widgets from the acme production line shows that the average lifespan of these parts is 900 hours. the
What are the different ways to graph a line graph? Provide an example of each. Does one seem better than the other? In what ways is it better?
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