√√3 1 5.(2.6) (1) Let f(x, y) = ln(x² + y³) and v = derivative of f in the direction of v at x0 = Find Vf(x, y) and the directional = (2, 1). (0, 1). (2) Consider a curve given by x2 − 2xy + y³ = 1. Find a normal vector to the curve at x0 = 2
√√3 1 5.(2.6) (1) Let f(x, y) = ln(x² + y³) and v = derivative of f in the direction of v at x0 = Find Vf(x, y) and the directional = (2, 1). (0, 1). (2) Consider a curve given by x2 − 2xy + y³ = 1. Find a normal vector to the curve at x0 = 2
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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
Transcribed Image Text:√√3 1
5.(2.6) (1) Let f(x, y) = ln(x² + y³) and v =
derivative of f in the direction of v at x0 =
Find Vf(x, y) and the directional
= (2, 1).
(0, 1).
(2) Consider a curve given by x2 − 2xy + y³ = 1. Find a normal vector to the curve at
x0 =
2
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