Let f(x, y) = xex²-y and P = (3,9). Calculate || Vfp||. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ||V fp|| = Find the rate of change of f in the direction Vfp. (Express numbers in exact form. Use symbolic notation and fractions where needed.) the rate of changc

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the rate of change of f in the direction Vfp.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
the rate of change:
Find the rate of change of f in the direction of a vector making an angle of 45° with Vƒp.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
the rate of change:
Transcribed Image Text:Find the rate of change of f in the direction Vfp. (Express numbers in exact form. Use symbolic notation and fractions where needed.) the rate of change: Find the rate of change of f in the direction of a vector making an angle of 45° with Vƒp. (Express numbers in exact form. Use symbolic notation and fractions where needed.) the rate of change:
Let f(x, y)
=
xex²-y and P = (3,9).
Calculate ||Vfpll.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
||Vfp|| =
Find the rate of change of f in the direction Vfp.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
the rate of change
Transcribed Image Text:Let f(x, y) = xex²-y and P = (3,9). Calculate ||Vfpll. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ||Vfp|| = Find the rate of change of f in the direction Vfp. (Express numbers in exact form. Use symbolic notation and fractions where needed.) the rate of change
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