Method of lagrange multiplier
A wire is bent to fit the curve y = 1 - x^2. A string is stretched from the origin to a point (x,y) on the curve. Use the method of Lagrange multiplier to find (x,y) to minimize the length of the string.
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If the test indicates that a person does not have the disease, what is the probability that the individual actually has the disease?
For the position of the box given, determine the force in the cable and the reactions between the box and the chute. The chure is parallel to the xz plane. Neglect the size of the box and the winch. The box is 1/6 the distance up the chute from po
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Describe potential ideas for a mock-up, engineering model, and prototype of their newest camera. Be specific regarding materials or components that could be used for construction, when this model would be most relevant throughout the design proces
Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 16 minutes. Consider 49 of the races. Let X-bar = the average of the 49 races. Given that X-bar ~ N (14
Find expressions for the partial molar volumes of species one and two at T and P. Show that when these expressions are combined in accord with M = sum (xi*Mbar i) the given equation for V is recovered
The flywheel of a punching machine has a mass of 300 kg and a radius of gyration of 600 mm. Each punching operation requires 2500 J of work.
A bird watcher meanders through the woods, walking 0.519 km due east, 0.759 km due south, and 2.14 km in a direction 35.4° north of west. The time required for this trip is 2.60 hr. Determine the magnitude (in kilometers) of the bird watcher's
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