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Question: Prove Theorem
Theorem: Let f:R'; ? X → R be a concave function and g: R → R an increasing and concave function defined on an interval I containing Then the function g[f(x)] is concave.
If this card were using the interest rates of 30 years ago, how much interest would your card charge you this month?
Could you clarify what constitutes a spanning set and a basis? Also how does one test to see if a set of vectors is a spanning set and if it is a basis?
A true-false examination has 48 questions. June has probability 3/4 of answering a question correctly. April just guesses on each question. A passing score is 30 or more correct answers. Compare the probability that June passes the exam with the p..
Let {X(t), t ≥ 0} be a Poisson process with intensity parameter λ. Suppose each arrival is "registered" with probability p, independent of other arrivals. Let {Y(t), t ≥ 0} be the process of "registered" arrivals. Prove that Y(t) is a Poisson process..
A roulette wheel has 38 slots around the rim. The first 36 slots are numbers from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. If the roulette wheel is spun 266 t..
in a large accounting firm the proportion of accountants with mba degrees and at least 5 years of professional
if there are at least two varieties among the dozen donuts chosen?
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
Find the value of the integral of g(z) around the circle |z - i| = 2 in the positive section when g(z) = 1/(z^2+4)
1 A bookstore has a draw for a $25 book certificate. Each customer draws a ticket from a bowl of 100 tickets. Only one of the tickets is a winning ticket and once the certificate is won, the draw is over. If the tickets are drawn with repl..
What is the probability that seven, eight, or nine parts were produced by machine B?
A rancher has divided a plot of ground into an L shaped region. The larger section to serve as a corral and the smaller as a training area (see Figure 9) If 480 feet of fencing is available, determine the dimensions x and y which maximizes the tot..
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