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A closed rectangular chest with a square base and a volume of 1500 cubic inches is to be constructed of two different types of materials. The top is made of metal costing $10 per square inch. And the remainder is made of wood costing $5 per square inch. Find the dimensions of the box for which the cost of the materials is minimized.
Find the first and third quartiles of the data set.
but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
Consider a function f(x, y) = xy (1- x - y). Find the critical point of the function. Use the srcond derivative to classify the critical point.
Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.
Question Find an optimal parenthesization of the matrix-chain product for p = Show the m and s tables and the printing of an optimal parenthesization.Comment
In a state of 10 million people, 25% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.
Apply Chi Square test of independence to test whether there exists any association between two variables.
1. A random number generator selects a sequence of 20 digits from {0, 1, . . . , 9}. What is the probability [2] that the sequence contains at least one 3? (Hint: consider the probability that the sequence contains no 3's.)
Sketch the graph from information.
Compare and contrast doing operations (adding, subtracting, multiplying, and dividing) with rational expressions to doing operations with fractions. Can understanding how to work with one kind of problem help understand how to work another type?
Determine the p-value for testing
How do you know if there are local extrema when there are no zeros after you take the derivative?
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