MAT2500-01/04 12S Quiz 6 Print Name (Last, First) _________________________________|__Show all work, including mental steps, in a clearly organized way that speaks for itself. Use proper mathematical notation, identifying expressions by their proper symbols (introducing them if necessary), and use arrows and equal signs when appropriate. Always SIMPLIFY expressions. BOX final short answers. LABEL parts of each problem. Keep answers EXACT (but give decimal approximations for interpretation when appropriate). Indicate where technology is used and what type (Maple, GC).
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. 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a) Write an equation for the level surface of this function passing through (0,1,-1).b) Evaluate the gradient vector field and its value at (0,1,-1), identifying it with its proper symbol.
c) In what direction (unit vector) at (0,1,-1) does LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= increase the most rapidly and what is its rate of change in that direction?d) Write an equation for the normal line to the level surface through (0,1,-1), namely the line through this point which is aligned with the gradient vector there. At what point LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNiotSSVtc3ViR0YkNiUtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtSSNtbkdGJDYkUSIwRicvRjtRJ25vcm1hbEYnRjdGOi8lL3N1YnNjcmlwdHNoaWZ0R0ZCLUkjbW9HRiQ2LVEiLEYnRkMvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGTS8lKnN5bW1ldHJpY0dGTS8lKGxhcmdlb3BHRk0vJS5tb3ZhYmxlbGltaXRzR0ZNLyUnYWNjZW50R0ZNLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGP0ZHLUZINi1RIn5GJ0ZDRksvRk9GTUZQRlJGVEZWRlhGWi9GaG5GZm4tRjE2JS1GNDYlUSJ6RidGN0Y6Rj1GRS1GNDYjUSFGJ0ZDRkMvJSVvcGVuR1EnJmxhbmc7RicvJSZjbG9zZUdRJyZyYW5nO0YnRkM= does the normal line intersect the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= plane?
e) What is the directional derivative of f at (0,1,-1) in the same direction as the vector LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNigtSSNtbkdGJDYkUSIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEjMTJGJ0Y0RjctRjE2JFEiNEYnRjRGNEY0LyUlb3BlbkdRJyZsYW5nO0YnLyUmY2xvc2VHUScmcmFuZztGJ0Y0? Identify it by its proper symbol. Is the function increasing or decreasing in this direction?
f) Optional. Only for students who finish ahead of time.
Are there other points where the gradient vector is parallel to this one at (0,1,-1)?
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Qyc+SSJmRzYiZio2JUkieEdGJUkieUdGJUkiekdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiY5JSIiIy1JJGV4cEdGJTYjKig5JCIiIkYvRjY5JkY2RjZGJUYlRiUhIiItRiRGJ0Y2LUYkNiUiIiFGNkY4b)QycvJkkiZkc2IjYjSSJ4R0YmLS0mSSJER0YmNiMiIiI2I0YlNiVGKEkieUdGJkkiekdGJkYuLyZGJTYjRjEtLSZGLDYjIiIjRi9GMEYuLyZGJTYjRjItLSZGLDYjIiIkRi9GMA==PkknZ3JhZGYwRzYiLUkkPCw+R0koX3N5c2xpYkdGJDYlLS0mSSJERzYkJSpwcm90ZWN0ZWRHRic2IyIiIjYjSSJmR0YkNiUiIiFGMCEiIi0tJkYsNiMiIiNGMUYzLS0mRiw2IyIiJEYxRjM=e)The difference vector and its direction arePkkidUc2Ii1JJDwsPkdJKF9zeXNsaWJHRiQ2JSIiJCIjNyIiJQ==PkkldWhhdEc2IiomSSJ1R0YkIiIiLUklc3FydEdGJDYjLUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJEksVHlwZXNldHRpbmdHNiRGLkkoX3N5c2xpYkdGJDYkRiZGJiEiIg==The directional derivative is the dot product of the gradient with the unit vector direction:LUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHNiRGJUkoX3N5c2xpYkdGKDYkSSV1aGF0R0YoSSdncmFkZjBHRig=b) the direction vector of the gradient itself gives the direction of maximum increase of the function, while its magnitude gives the rate of change in that direction:PkkqZ3JhZGYwbWFnRzYiLUklc3FydEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjLUkwZGVsYXlEb3RQcm9kdWN0RzYkRigvSSttb2R1bGVuYW1lR0YkSSxUeXBlc2V0dGluZ0dGJzYkSSdncmFkZjBHRiRGMg==Pkkidkc2IiomSSdncmFkZjBHRiQiIiJJKmdyYWRmMG1hZ0dGJCEiIg==c) d)QyU+SStub3JtYWxsaW5lRzYiLy1JJDwsPkdJKF9zeXNsaWJHRiU2JUkieEdGJUkieUdGJUkiekdGJSwmLUYoNiUiIiEiIiIhIiJGMi1JMGRlbGF5RG90UHJvZHVjdEc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiVJLFR5cGVzZXR0aW5nRzYkRjdGKTYlSSJ0R0YlSSdncmFkZjBHRiVJJXRydWVHRjdGMkYyPkkpdGFucGxhbmVHRiUvLUY1NiRGPiwmRidGMkYvRjNGMQ==Intersection with plane LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=.SStub3JtYWxsaW5lRzYiL0kidEc2Ii1JJnNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQvIiIhLCYiIiJGLkYjIiIjRiM=LUklc3Vic0clKnByb3RlY3RlZEc2JEkiJUc2Ii1JJHJoc0dGJDYjSStub3JtYWxsaW5lR0YnThe desired point is 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.With technology we might as well add in the level surface through the point P.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Zoom in on the tangent plane and surface.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) OPTIONAL.
We can ignore any common factors in the gradient if we want to check where it is proportional to the given gradient 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Either LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= or LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= from the last component of this equation, but if LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= then from the first component LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ== but then the middle component says LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2JFEiMEYnRi9GLw==, so that is not allowed. Thus LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, leading to LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkdGKy1GMzYtUSJ+RidGL0Y2RjlGO0Y9Rj9GQUZDL0ZGUSYwLjBlbUYnL0ZJRk4tSSNtaUdGJDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= so LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjFGJ0Y5Rjk= and therefore 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 or 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 which is a simple curve in the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= plane.LUkmc29sdmVHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JDwlLyomSSJ5R0YnIiIjSSJ4R0YnIiIiIiIhLyomRixGLUkiekdGJ0YvLCRJImtHRichIiIvLCZGLUYvKihGLkYvRixGL0YzRi9GLywkRjVGLTwlRjVGLkYzJSFHTTdSMApJNlJUQUJMRV9TQVZFLzQ1MjQ5ODI2NFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCEiIiIiIyIiIUYlTTdSMApJNlJUQUJMRV9TQVZFLzQ1MzMyMjc0NFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCIiJCIjNyIiJUYlTTdSMApJNlJUQUJMRV9TQVZFLzQ1Mzc2OTM0NFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCMiIiQiIzgjIiM3RigjIiIlRihGJQ==TTdSMApJNlJUQUJMRV9TQVZFLzQ1Mzk2NDE3NlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCwkKiQiIiYjIiIiIiIjIyEiIkYoLCRGJyNGK0YoIiIhRiU=TTdSMApJNlJUQUJMRV9TQVZFLzQ1Mzk2MjY4MFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCUieEclInlHJSJ6R0YlTTdSMApJNlJUQUJMRV9TQVZFLzQ1Mzg0MzQ1NlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCwkJSJ0RyEiIiwmIiIiRipGJyIiI0YoRiU=TTdSMApJNlJUQUJMRV9TQVZFLzQ1Mzk2MjY4MFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCUieEclInlHJSJ6R0YlTTdSMApJNlJUQUJMRV9TQVZFLzQ1Mzg0MzQ1NlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCwkJSJ0RyEiIiwmIiIiRipGJyIiI0YoRiU=TTdSMApJNlJUQUJMRV9TQVZFLzUxMzU3MTg0MFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCMiIiIiIiMiIiEhIiJGJQ==TTdSMApJNlJUQUJMRV9TQVZFLzUxMzE5MjQ4MFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCooJSJ5RyIiJCUiekciIiItJSRleHBHNiMqKCUieEdGKkYnRipGKUYqRiosJiomRidGKkYrRioiIiMqKkYnRjJGL0YqRilGKkYrRipGKiooRidGKEYvRipGK0YqRiU=TTdSMApJNlJUQUJMRV9TQVZFLzUzNDgyODE4NFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJComJSJ5RyIiIyUiekciIiIsJkYoRioqKCUieEdGKkYnRipGKUYqRioqJkYnRihGLUYqRiU=TTdSMApJNlJUQUJMRV9TQVZFLzUzNDgyODQyNFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCwkJSJrRyEiIiwkRiciIiMiIiFGJQ==