Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- 2. Find the final value of f(t), if: 5(s +2) s(s +1) F(s) =arrow_forwardA chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 7-lb batches. Let x = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 1 2 3 4 p(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). batches | batches? E(X) = V(X) = Compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left. [Hint: The number of pounds left is a linear function of X.] expected weight left Ib variance of weight left Ib2arrow_forward6. Consider the function f : {0, 1, 2, 3, 4} → {0, 1, 2, 3, 4} defined by the formula f (x) = (x + 2) %5 For each n e N, define f" : {0,1, 2, 3, 4} → {0, 1, 2, 3, 4} by the rule f"(x) = ƒ o ƒ o ...f(x) n times Which of the following statements is TRUE? (a) f³(x) = x for all a € {0,1,2, 3, 4}. (b) There exists x € {0, 1, 2, 3, 4} such that f10 (x) # x. (c) f²(0) = f³(1). (d) The domain of f is not equal to the codomain of f, so fn is not a function unless n = 1. Select one alternative: (c) (b) O (d) (a)arrow_forward
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