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15 Apr 2018

7. Suppose A, B and C are sets. Consider the statement S: If AGC, then (A&B or B&C). [6 marks] (a) State the hypothesis of S. (b) State the conclusion of S. (c) State the converse of S. (d) State the contrapositive of S. (e) Prove S.

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Beverley Smith
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16 Apr 2018
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Related questions

[1] 6. (a) State the domain and range of tanh r. Solution: The domain is (-0,00) and the range is (-1,1). [1] (b) State the domain and range of tanh-r. Solution: The domain is (-1,1) and the range is (-0,0). [4] (c) Prove that tanh - 7 = in (1+). Solution: If y = tanh-1, then I = tanh y = ee. Thus, el – EU elle- (e" + e-").r = e-e-Y rey - y = -e-yr-e- e24(1 - 1) = -r-1 220 = 7-1 2y = ln (1+) So, tanh- = (1+2)

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1. (a) State the precise mathematical definition of lim f(0) = -0. (b) If B(h) is the barometric pressure in kiloPascals at height h in kilometers. What is the physical interpretation of B'(2) = 1? (c) Write the definition of tanh c and state its domain and codomain. (d) Find the exact value of log (2) – log (5) + log2 (20). (e) Use the Intermediate Value Theorem to prove that the function f(c) = r4 - 2r3 – 3.r+2 has at least one real root.

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