1. Ants on a plane. Mr. Jackson is quite concerned about some ants crawling around on...
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1. Ants on a plane. Mr. Jackson is quite concerned about some ants crawling around on this x-y plane. Also, he has "had it" with this mother function f(x, y). (a) Suppose an ant is at (x, y). In what direction should she walk to move towards a larger value of f? Give your answer as a unit vector. (b) What if the ant wants to walk toward smaller values of f? k? Which direction should she go? (c) What if the ant wants to walk toward a place where f Hint: you might consider the function "sign(s)" which is defined on the right. if s > 0, sign(s) = 0 if s = 0, -1 if s<0. 1. Ants on a plane. Mr. Jackson is quite concerned about some ants crawling around on this x-y plane. Also, he has "had it" with this mother function f(x, y). (a) Suppose an ant is at (x, y). In what direction should she walk to move towards a larger value of f? Give your answer as a unit vector. (b) What if the ant wants to walk toward smaller values of f? k? Which direction should she go? (c) What if the ant wants to walk toward a place where f Hint: you might consider the function "sign(s)" which is defined on the right. if s > 0, sign(s) = 0 if s = 0, -1 if s<0.
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a To move towards a larger value of fx y the ant should walk in the direction of the gradient of f d... View the full answer
Related Book For
Financial Accounting
ISBN: 9781618533111
6th Edition
Authors: Michelle L. Hanlon, Robert P. Magee, Glenn M. Pfeiffer, Thomas R. Dyckman
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