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- Find general solutions of the systems in Problem Attached. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system.An oil explorer must decide whether to drill on a site before her option expires or to abandon her rights to the site. Drilling a well costs $100,000. If oil is struck, the explorer will sell and make a $500,000 profit. The explorer can hire a geologist to take a seismic sounding of the site at the cost of $10,000. Such soundings reveal, with certainty, whether the geophysical substructure of the land is of type A, type B or Type C, where each type has a different degree of favorability for the existence of oil. From experience, the probability that a certain substructure will occur, given that oil exists, is P(type A|oil) = 14/28 P(type B|oil) = 9/28 P(type C|oil) = 5/28. Further, the following probabilities for substructures at this site are P(type A) = 0.20 P(type B) = 0.30 P(type C) = 0.50 given that P(oil) = 0.28. Perform a decision tree analysis. Determine the EVPI and EVE.Looking at the solution for Openstax volume 2 6.1 problem 28 bartleby gives two solutions for R. R = infinity and R = 27. Which is the correct solution?
- Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 3 km from the nearest point B on the shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 8 km apart. (Round your answers to two decimal places.) In general, if it takes 1.3 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area?Example 4 A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 8 km downstream on the opposite bank,as quickly as possible (see Figure 7). He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B.If he can row 6km/h and run 8km/h, where should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared with the speed at which the man rows .) Solve the problem in Example 4 if the river is 5 km wide and point B is only 5km downstream from A.Need help with a Jacobian Practice Problem!
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