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a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
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The following (artificial) data record the length of stay (in days) spent on a psychiatric ward for 28 consecutive patients who have been sectioned under the mental health act, cla
tens digit of a 2-digit number is twice its unit digit. If the sum of the digit is 12, find the number.
Now we need to discuss graphing an equation. The first question which we have to ask is what accurately is a graph of an equation? A graph is the set of all the ordered pairs whos
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Can you explain that a wave through the origin always has a slope of one or not?
It is the simplest case which we can consider. Unforced or free vibrations sense that F(t) = 0 and undamped vibrations implies that g = 0. Under this case the differential equation
Important Points About the Alternating Series Test There are a several things to note about this test. Very first, unlike the Integral Test and the Comparison or Limit Compari
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