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Question: Decibel readings in Problem use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels according to
L = 10 log (I/I0)
where I0 is the threshold of hearing for the average human ear.
The background noise level of a relatively quiet room is about L1 = 32 decibels and of a heated argument is about L2 = 66 decibels. Find the ratio I2/I1 of the associated intensities.
Let f: [0, 1] → R be a function. The "graph" of f is the following subset of R2: G = {(x, f(x)) | x ∈ [0, 1]}. Prove that f is continuous if and only if its graph is compact
A panel of economists provided forecasts of the U.S. economy for the first six months of 2007 (The Wall Street Journal, January 2, 2007).
How can the Frank-Wolfe algorithm be efficiently combined with the decomposition approach presented in this chapter, to find the optimal solution to the nonlinear program defined by maximizing the expected utility given above?
Formulate as a nonlinear program. Apply four iterations of the Frank-Wolfe algorithm; graphically identify the optimal point, using the property that even- and odd-numbered points lie on lines directly toward the optimum.
Consider the following two mutually exclusive alternatives for reclaiming a deteriorating inner-city neighborhood (one of them must be chosen).
ne of PLE's manufacturing facilities produces metal engine housings from sheet metal for both mowers and tractors. Production of each product consists of five steps: stamping, drilling, assembly, painting, and packaging to ship to its final assemb..
the speedem-feedem airline must decide how many new flight attendants to hire and train over the next six months. the
Prove the theorem of Tinseau, that the orthogonal projection of a space curve onto a plane has a point of inflection (a point where κ(s) = 0) if the plane is perpendicular to the osculating plane of the curve (the plane spanned by T(s) and N(s))
A group of young entrepreneurs earns a (temporarily) steady living by acquiring inadequately supervised items from electronics stores and re-selling them. Formulate this problem as a linear program
Question 3: The null hypothesis for the test of independence states that no correlation exists between the variables.
Compare the results of i) to the exact solution and comment on the accuracy of the numerical algorithm and adopted step size.
What is the probability that exactly 1 of 10 cars experience breakdown: Use the Binomial Probability tables.
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