Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (4, 5, 5). (a) Calculate f(r(t)) and ds = ||r' (t)|| dt for the parameterization r(t) = (4t, 5t, 5t) for 0 ≤ t ≤ 1. (Use symbolic notation and fractions where needed.) f(r(t)) = ds = (b) Evaluate f f(x, y, z) ds. (Use decimal notation. Give your answer to three decimal places.) [ = f(x, y, z) ds dt
Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (4, 5, 5). (a) Calculate f(r(t)) and ds = ||r' (t)|| dt for the parameterization r(t) = (4t, 5t, 5t) for 0 ≤ t ≤ 1. (Use symbolic notation and fractions where needed.) f(r(t)) = ds = (b) Evaluate f f(x, y, z) ds. (Use decimal notation. Give your answer to three decimal places.) [ = f(x, y, z) ds dt
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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