MAT2500-01/04 18S Test 2 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 EQUAL SIGNS and arrows when appropriate. Always SIMPLIFY expressions. BOX final short answers. LABEL parts of problem. Keep answers EXACT (but give decimal approximations for interpretation if appropriate). Indicate where technology is used and what type(Maple, GC). You are encouraged to use technology to CHECK but NOT SUBSTITUTE all of your hand results. Everything on this test is straightforward to evaluate by hand and must be shown explicitly.
1. 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a) Evaluate the first and second derivatives of f.b) Find the two critical points of f and the values of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn there, and classify them as local extrema or saddle points, justifying your claims. Does a plot (3d or contourplot) confirm your conclusions? Why?c) Find the unit vector 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 along which f increases the most rapidly at the point (2,0). What is the rate of change in that direction? Identify your responses by their proper symbols. d) Evaluate the directional derivative of f at the point (2,0) in the direction of the point (0,2).e) Find a parametrization of the normal line to the graph of f at the point (2,0,8). What are the coordinates of the point where this normal line intersects the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn plane?2. 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a) Give the equation of the level surface through P.b) Write an equation for the tangent plane to this level surface at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw== and simplify the equation of the tangent plane to the simplest standard linear form 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.c) Use the differential approximation to estimate the change in f as one moves from P to the nearby point 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 What is the approximate percentage change?3. a) Maximize the volume of a rectangular box with base dimensions LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn and height LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn subject to the constraint 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 . What are the dimensions and volume which solve this problem? [No units here and no need to verify the single local maximum which must be the global maximum on physical grounds. Optional: Explain why.]b) Optional.
How do the intercepts get reflected in the solution? Consider the constraint 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 and repeat the problem. Summarize the result you find in words. Is there an aha moment when you reflect on how this result can be understood based on symmetry?solution1.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.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 by about 0.2 or about 2.2 percent.3. 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The dimensions of the largest box satisfying this linear constraint are a third the corresponding axis intercepts, while the maximum volume is the product of the axis intercepts divided by 27.pledgeJSFHWhen you have completed the exam, please read and sign the dr bob integrity pledge and hand this test sheet stapled on top of your answer sheets as a cover page, with the first test page facing up:"During this examination, all work has been my own. I have not accessed any of the class web pages or any other sites during the exam. I give my word that I have not resorted to any ethically questionable means of improving my grade or anyone else's on this examination and that I have not discussed this exam with anyone other than my instructor, nor will I until after the exam period is terminated for all participants."
Signature: Date: TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2NzQ0MDc0MzU4MDYyOTUwWColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIkIiQhIzciIiciIiJGJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2NzQ0MDc0MzYwNzM0MjM4WColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIkIiQiIykqISNbIiIhRiU=