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An open-topped box is to be made by cutting a square from each corner of a 35-in by 51 in rectangular piece of cardboard and then folding up the sides. What size squares should be cut from each corner in order to maximize the volume of the box and what is the maximum volume of the box?
Suppose a shock causes a unit damage to the machine with probability 0.1 and no damage with probability of 0.9. Successive shocks are independent. Suppose the damages are cumulative and the machine can withstand at most four units of damage
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
Compute the derivative of the function using the difference quotient and find the equation of the line that is tangent to its curve for x=c
One of the most famous unsolved problems in mathematics is a conjecture made by Christian Goldbach in a letter to Leonhard Euler in 1742. The conjecture made in this letter is now known as Goldbach's Conjecture. The conjecture is as follows:
Probability : Expected Values and Probability Distributions - According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles
What is the minimum number of digits the student must obtain from a random number table for each observation if it rained on two-fifths of the days over the past several years
Make a venn diagram: 25 students play soccer, 4 boys play soccer and baseball, 3 girls play soccer and baseball, 10 boys play baseball, 4 girls play baseball
Conduct a literature and internet search for information on the Truth-in-Lending Law. Discuss your findings in terms of what the law pertains to and how it is applied.
Let h(sub n) denote the number of ways to perfectly cover a 1 by n board with monominoes and dominoes in such a way that no two dominoes are consecutive.
The correlation between weekly sales and shelf space.
Use Excel to perform polynomial interpolation on the given data and try to figure out the degree of the polynomial mathematically - perform polynomial interpolation on the following data.
If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade.
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