Question 3 Given = ax? + x + y3 + xz2, where a is some constant parameter. • Determine a = (positive integer), if the largest possible rate of change of f at point (1,0, 1)is given by /20. • Use the the value of a from the previous part. At which point (x, y, z) the directional derivative of f is zero in all directions? Give the values of x = (decimal), y = (integer) and z = (integer). • Determine a = (integer), if the Laplacian of fat point (1, 2, 1)is zero.

Question 3 Given = ax? + x + y3 + xz2, where a is some constant parameter. • Determine a = (positive integer), if the largest possible rate of change of f at point (1,0, 1)is given by /20. • Use the the value of a from the previous part. At which point (x, y, z) the directional derivative of f is zero in all directions? Give the values of x = (decimal), y = (integer) and z = (integer). • Determine a = (integer), if the Laplacian of fat point (1, 2, 1)is zero.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 5.1E: 5-6 Yes or No? If No, give a reason aIs the average rate of change of a function between x=a and x=b...

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