ate f(c(t)) and ds = ||c'(t)|| i te Sc ƒ(x,y, z) ds.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (4, 1, 4).
(a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (4t, lt, 4t) for 0 <t <1.
(b) Evaluate fe f(x, Y, z) ds.
(a) f(c(t)) =
ds =
dt
(b) Sc f(x, y, z) ds =
Transcribed Image Text:Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (4, 1, 4). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (4t, lt, 4t) for 0 <t <1. (b) Evaluate fe f(x, Y, z) ds. (a) f(c(t)) = ds = dt (b) Sc f(x, y, z) ds =
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