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A flat vertical gate in the face of a dam is shaped like the parabolic region between the curve y = 4x2 and the line y = 4, with measurements in feet. The top of the gate lies 5 feet below the surface of the water. Find the force exerted by the water against the gate (w = 62.4).
Find the values of f(x) at which each of the following functions is discontinuous. Why is the function discontinuous at that value?
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
What is the optimal decision? Ken believes that the $300,000 figure for the Sub 100 with a favorable market is too high. How much lower would this figure have to be for Ken to change his decision made in part (b)?
Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on February 17, 2006, one U.S. dollar could purchase 0.8382 Euros, and one Euro could purchase 140.9687 yen.
The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
dimensions of a rectangle of such that its length is 5in more then its width. If the length were doubled and the width were decreased by 2, the area would be increased by 220 in.^2. What are the width and the length of the rectangle?
The aim of the project is to determine, for any fixed grid constants, an appropriate discrete skeletons from multivariate data so that the memory computational effort is minimal.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
What is your profit from charging the premium found in part b? What happens to the smokers and non-smokers in this market? What premium must you charge in order to break-even?
A cylindrical drill with radius r1 is used to bore a hole through the center of a sphere of radius r2. Find the volume of the ring-shaped solid that remains.
Elena's daugther sold 84 boxes of girl scout cookies. She was told that this amount was 5% of the troops sales. How many boxes did the troop sell?
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