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Q. Determine the probability of tossing a head?
Let B represent the event of tossing a heads with the nickel in example 2. Find P(B).
Solution: S = {(H, H), (H, T), (T, H), (T, T)}n(S) = 4
To list B, we find all of the sample points in S that have H as the first coordinate.B = {(H, H), (H, T)}n(B) = 2
Solve the subsequent IVP Y'' - 9 y = 0, y(0) = 2, y'(0) = -1 Solution First, the two functions y (t ) = e 3t and y(t ) = e -3t That is "nice enough" for us to
Recognizes the absolute extrema & relative extrema for the given function. f ( x ) = x 3 on [-2, 2] Solution :
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Differentiate following functions. (a) R ( w) = 4 w - 5 log 9 w (b) f ( x ) = 3e x + 10x 3 ln x Solution : (a) It will be the only example which doesn't includ
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(1) Prove that Zorn's lemma is equivalent to axiom of choice. (2) Use Zorn's Lemma to prove the existence of E.
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All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]
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