If A p⊂ B, prove that if B is bounded, then A is also bounded. Is the converse true?

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Q: 31. Show that p→q and (p →q) ^ (q→p) are logically equivalent.

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Q: - 4.30 f(x₁, x₂) = x² − 2x₁ + 4x² − 8x2 + 6

A: Answer 4.30

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Q: X= Y= Z= 1 1 1 1 22 23 3 1 33 6 19 1 13 1 0 17 4 6 13 14 10 4 5 (a) Find the product matrix XY. XY =…

A: given matrix X=111122233133Y=6191131017413146Z=1045 (a) find the product matrix XY…

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A: Given differential equation   x-3ydx+3x+ydy=0

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A: Solution :  Given that the functions  f(x) = 4x+3 g(x) = x-2

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Q: Can we use x = vy? (x - y In (y/x)) (vy - y In(y/vy)) --> (vy - y In(1/v)) 0 In(1/v) = - In v

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Q: P ^ (-Q) ^ R,

A: We find the truth table of

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Q: 13. Show that each conditional statement in Exercise 11 is a tautology using the fact that a…

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Q: The graphs of y = 2, y = g(z) (solid) and y = f(z) (dashed) are shown; the graph is not drawn to…

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