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The volume of a box is given by V = lwh. If a box has a height of x, width of x - 4 and length of 2x - 11, what is the maximum volume the box can have, to the nearest whole number?
How many mL of water are required to make 323 mL of a 27mEq/L potassium ion solution from a 364 mEq/L stock?
What organization metaphors or metal models are at work in your organization? Give example of expressions or labels used in your organization to support your answer.
A company that manufactures small canoes has a fixed cost of $22,000. It costs $ 20 to produce each canoe. The selling price is $40 per canoe. (In solving this exercise, let x represent the number of canoes produced and sold.)
Suppose I offer to play the following game with you if you will pay me some money. You roll a die, and I give you a dollar for each dot that is on top.
Find the intervals where the given function f is increasing and where it is decreasing.
(a) Find the minimum and maximum of f(x, y, z) = x2 +y2 +z subject to the constraint x2 +2y2 +4z2 = 1. (b) Suppose the constraint was changed to x2 + 2y2 + 4z2 = 1.5. Without re-solving the problem under the new constraint, estimate the maximum va..
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
For what value of a is the area enclosed by r = ?, ? = 0, and ? = a equal to 1?
Initially, all the new plant's management will be transferred from various locations in the United States. Later, supervisors will be promoted from the ranks of the Mexican nationals hired to work on the production line. It is hoped that many of t..
The equation of tangent line.
Find the decay constant k. What is the half life of the substance?
Show that p(x) is a maximum when x = µ. What is that maximum value?
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