(8) Let X-b(n,p), with E(X) = 6 and var (X) = 4.2, then P(X ≤ 6) = 0.608.
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- Determine the value of x within the interval (0, 1) that minimizes the function f = (x –1)(x –2.5) to within ± 0.025 by .(a) the Fibonacci method and (b) the golden section method.The marginal cost function for the manufacture of headphones is given by: where x is the number of headphones manufactured. Use a Riemann sum with n = 5 toestimate the cost of producing the first 5 headphones.What is the minimum value of f(x) = x^2 - 8 ln x on the interval [1,5]
- a) is f(x) = x3sin(1/x) uniformly continuous at (0,2] b) is g(x) = ln(x2+2) uniformly continuous at (-infinity, infinity) c) Decide if f(x) = x4sin(1/x3) is uniformly continuous at f : (0, infinity) --> Rlimit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.Use the graph of ƒ' and ƒ" to find the critical points and inflection points of ƒ, the intervals on which ƒ is increasing or decreasing, and the intervals of concavity. Then graph ƒ assuming ƒ(0) = 0.
