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1. Let f(x, y) = x2 + exy.
a. Calculate the directional derivative of f at the point (3.0) in the direction (2, -3).
b. What is the maximum directional derivative of f and in what direction does this occur?
2. Let R be the region in R2 bounded by the circle x2 + y2 = 4 and let f(x, y) = x2 + y2 - 2y + 3. Find the minimum and maximum values of f(x, y) on R.
With a variance components analysis on Minitab, which statement is correct and what is the correlation coefficient between x and y?
What is the expected value of the expense forecast for the coming year? C. what is the variance of the expense forecast for the coming year?
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
In a sample batch of 52 mechanical pencils it is assumed that 20 are defective. If 3 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distrib..
Brian and Hayden go out for dinner and the bill comes to $120.00. Hayden usually tips more than 20% of the bill and Brian usually tips at most 25% of the bill.
question guy and jim work at a furniture store. guy is paid 185 per week plus 3 of his total sales in dollars x which
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A task force to encourage car pooling did a study of one-way commuting distances of workers in the downtown Dallas area. A random sample of 60 of these workers was taken. The commuting distances of the workers in the sample are given in Table 2-1. Ma..
When one outlet pipe is closed, it takes 5 hours to fill the tank. Find the flow rates (in gallons per hours) in and out of the pipes.
Linear Programming can be used to solve very large problems with thousands of variables and constraints. Smaller problems can be easily solved with Excel, which is available on virtually all desktop computers with Microsoft Office or with online appl..
A two digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchange their places. Find the number.
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