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1. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 9-x2 What are the dimensions of such a rectangle with the greatest possible area?
2. Suppose the demand for a product is given by D(p)= -2p+191
Calculate the elasticity of demand at a price of $76
At what price do you have unit elasticity?
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
A car leaves Lima at noon traveling due West at 65 mph. At 2 PM, a car 300 miles south of Lima heads towards Lima at 70 mph. How quickly is the distance between the cars changing at 4 PM?
Fischer and Spassky play a sudden-death chess match whereby the first player to win a game wins the match. Each game is won by Fischer with probability p, by Spassky with probability q, and is a draw with probability 1 - p - q.
Based on research you will conduct, you will submit a written report describing what you have learned about an artist or musician who used mathematics as part of his/her work. The report is due on the last day of the module (Sunday at 11:59pm)..
Display sets in R2. Assume the sets include the bounding lines. In each case, give a specific reason why the set H is not a subspace of R2. (For instance, find two vectors in H whose sum is not in H, or find a vector in H with a scalar multiple th..
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.
What is the contribution margin ratio?
Sketch the level curve through P showing level value, and find a vector normal to this curve at P. Find the direction (i.e. a unit vector) along which f increases most rapidly at the point P.
The demand and cost functions for a product are p(x) = 130 - 0.01x and C(x) = 30x + 1100, If the manufacturer decides to increase production by 70 units per week, find the rate at which profit is changing with respect to time when the weekly produc..
What is an exponential equation? How do you get exponential growth? How is that different than exponential decay
What are the differences between strategic controls and financial controls, and how do they relate to organizational structure? What is the importance of these differences?
Multimedia Kids Do our children spend as much time enjoying the outdoors and playing with family and friends as previous generations did?
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