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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.
Suppose a corporation wants a large picture to hang in its lobby in a space that is 90 ft.². What should be the dimensions of this picture if it is in the shape of a Golden Rectangle?
a large part of workflow processes is the embedded learning theories. how will the organization teach the workflow
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a company decides to add a new program that prepares randomly selected sales personnel to increase their number of
What is the PCJ's break-even EBIT at which EPS is the same with or without debt financing?
If no horizontal line intersects the graph of the function more than once, then the function is one-to-one. Jiwen He, University of Houston Math 1432 What are One-To-One Functions?
the duration of telephone calls directed by a local telephone company sigma4.2 minutes n500 97 confidence. use the
If the unit selling price is $2.50 and the unit cost is $1.00, what action is needed to maintain the gross margin percentage when unit cost increases $0.25?
It is about the abstract Math. Use complete sentences. Justify all assertions completely, but don't write so much that the argument becomes difficult to follow.
A rectangular enclosure must have an area of at least 1400 yd^2. If 180 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
two truck drivers leave a cafe at the same time, traveling in different directions. one truck goes 8 mph faster thaan the other one. after 4 hr they are 408 miles apart. how fast is each truck going?
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