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Consider the function f(x, y, z) = 4(x² + y²³) 2 z² て and the Point A = (1,0,2)

Consider the function f(x, y, z) = 4(x² + y²³) 2 z² て and the Point A = (1,0,2)

Advanced Engineering Mathematics
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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hi this is the whole question but i only want the (b) part answer only , thanks for helping

Consider the function f(x, y, z) = 4(x² + y²) z² and the Point A= (1.0.2) (a) find K such that the curve. A r(t) = (et cost, et sint, 2et), te [1¹] is on the surface f (x, y, z) = K and find the unit tangent vector to r(t) At A. 21 (6) find a unit vector u in The X z Plane Such That the directional derivative to f(x,y,z) along u at A is zero.
Transcribed Image Text:Consider the function f(x, y, z) = 4(x² + y²) z² and the Point A= (1.0.2) (a) find K such that the curve. A r(t) = (et cost, et sint, 2et), te [1¹] is on the surface f (x, y, z) = K and find the unit tangent vector to r(t) At A. 21 (6) find a unit vector u in The X z Plane Such That the directional derivative to f(x,y,z) along u at A is zero.
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