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Let f be a non-negative monotone continuous function defined on the interval (0 <). Suppose that the improper integral f(x)dx integrated is convergent. Prove that f is bounded on (0<) and the limit as x goes to infinity of f(x) is 0.
If 82% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place?
Find the percentage of members spends more than $140 in a year?
Assignment on Business mathematics and statistics, Fix a Straight Line Trend equation by the method of Least Square Principle method. Assuming that the same rate of change continues what would be the predicted earnings for the year 1990?
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
Find the break-even points and the maximum revenue.
In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
Four people select a main dish from a menu of 7 items. How many choices are possible: If a record is kept of who selected which choice (as a waiter would)
Probability of a Bullseye, A simple dartboard has three areas - the main board has a radius of 10 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 2 inches
Evaluate the steady-state concentration - Under some conditions, the rate at which the concentration of a dissolved substance across a cell's membrane changes within the cell is proportional to the difference between it and the outside concentratio..
Suppose G is a finite group with the property that every non-identity element has prime order (D3 and D5 are examples of groups with this property).
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