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Volume. An open box is to be made from a six inch by six inch square piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made
Area. A rectangular page is to contain 36 square inches of print . The margins at the top and bottom and on each side are to be 1 and a half inches. Find the dimensions of the paper that will minimize the amount of paper used.
Area. A rectangular page is to contain 30 square inches of print. The margins at the top and bottom of the page are to be 2 inches wide. The margins on each side are to be 1 inch wide. Find the dimensions of the page such that the least amount of paper is used.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
Apply normal distribution methods to approximate this binomial distribution.
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
Heat Equation Problem, Find the solution u(x,t) of the heat equation: with initial data u(x,0) = x
Expected value, indifference probabilities, expected utility, For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35.
Develop a joint probability table. Develop a probability tree showing all marginal, conditional, and joint probabilities.
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean? What is the quadratic formula? What is it used for? Provide a useful example.
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)
Evaluate the given expression and Perform the indicated operation - Evaluate -2x 4 - 3x 2 + 5x - 9 for x = 2.
Half angle formula to find the exact value.
Find the supply and demand for particular value when supply and demand functions are given and How many videotapes are demanded at a price of $20?
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