Let a function from the real numbers to the integers be


Question: 1. Find a minimum-weight spanning tree of the graph shown in Figure (and mention which algorithm you used to produce it).

48_27.jpg

2. Which one of the following statements is true (and why)?

(a) -3 ≡ 21 (mod 12).

(b) -3 ≡ 15 (mod 12).

3. Let a function from the real numbers to the integers be defined by f(x) = x. Is f one-to-one? Is f onto? Explain why or why not in each case.

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Mathematics: Let a function from the real numbers to the integers be
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