A function f and a point P are given. Let correspond to the direction of the directional derivative. Complete parts a f(x,y)= In (1+6x²+5y²), P.- √5] a. Find the gradient and evaluate it at P. 24 80-5 211 211 b. Find the angles + (with respect to the positive x-axis) between 0 and 2x associated with the directions of maximum 10./5 The gradient at P is tan + 2x (Type your answer in radians. Type an exact answer in terms of Use a comma to separate answers as needed.) What angles are associated with the direction of maximum decrease? 10,5 tan +T
A function f and a point P are given. Let correspond to the direction of the directional derivative. Complete parts a f(x,y)= In (1+6x²+5y²), P.- √5] a. Find the gradient and evaluate it at P. 24 80-5 211 211 b. Find the angles + (with respect to the positive x-axis) between 0 and 2x associated with the directions of maximum 10./5 The gradient at P is tan + 2x (Type your answer in radians. Type an exact answer in terms of Use a comma to separate answers as needed.) What angles are associated with the direction of maximum decrease? 10,5 tan +T
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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