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Let f (x, y, z) = y - 2xz?. Find the rate of change of f in the direction of motion along the path r (t) =< sin t, 3 cos t, 2t > at t = . That is, find the directional derivative D f %3D where u is a unit tangent to the curve r at the specified point. Edit View Insert Format Tools Table 12pt v Paragraph v BIU O words </> /

Let f (x, y, z) = y - 2xz?. Find the rate of change of f in the direction of motion along the path r (t) =< sin t, 3 cos t, 2t > at t = . That is, find the directional derivative D f %3D where u is a unit tangent to the curve r at the specified point. Edit View Insert Format Tools Table 12pt v Paragraph v BIU O words </> /

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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Let f (x, y, z) = y – 2xz'. Find the rate of change of f in the direction of motion along the path r (t) =< sin t, 3 cos t, 2t > at t = . That is, find the directional derivative Du f where u is a unit tangent to the curve r at the specified point. Edit View Insert Format Tools Table 12pt v Paragraph v BIU O words </> /
Transcribed Image Text:Let f (x, y, z) = y – 2xz'. Find the rate of change of f in the direction of motion along the path r (t) =< sin t, 3 cos t, 2t > at t = . That is, find the directional derivative Du f where u is a unit tangent to the curve r at the specified point. Edit View Insert Format Tools Table 12pt v Paragraph v BIU O words </> /
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