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A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet across, how deep should the mirror be?
A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about aggressive drivers on the road?
A sheet of metal 144 inches long and 16 inches wide, is to be turned up at both sides to make a horizontal gutter with vertical sides. How many inches should be turned up at each side for a maximum carrying capacity?
The book value of a machine is $21,000 at the end of its fourth year of life and $14,000 at the end of its sixth year of life. What was the purchase value of the machine, assuming that "straight line depreciation" is being used.
How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.
Formulate a mathematical program that can be used to determine where the "hub" should be located in the plane. Clearly define your decision variables, objective and constraints
How many passengers are required in the sample to reduce in half the sampling error within which we need to estimate the proportion of passengers who had purchased tickets for more than $400 over a year's time?
Let G be an open subset of C ( complex plane) and let P be a polygon in G from a to b. Use the following 2 theorems to show that there is a polygon Q in G from a to b which is composed of line segments which are parallel to either the real or imag..
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
A weight-loss program guarantees, "You'll lose weight within two weeks or we'll refund your money plus $10!" Using α = 5%, perform the sign test of the median paired difference to determine whether the median weight of these twelve participants decre..
The different scenarios and their probabilities are An urn has 2 one dollar bills, one 5$ bill and one 10$ bill. A player draws one bill at a time with out replacing them until a ten dollar bill is drawn, then the game stops.
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.
Find the instantaneous velocity when t = 1. Please show me all the steps, explain to me what instantaneous velocity is and how it is calculated (formula).
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