Evaluate the following line integral along the curve C.3π√(x+y+z)(x+y+z)ds; C is the part of the circle r(t) = (12 cos t, 0, 12 sint), for Osts 2The value of the ordinary integral is(Type an exact answer, using radicals as needed.)

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Answered: Evaluate the following line integral…

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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Express the circle specified by x = 2 cos(0) y = 1+2 sin(0) in Cartesian coordinates and find the point where 0 = a/3. O a. (x – 0)² + (y – 1)² = 2, (1, 1 – V3) оь. (x - 0)? + (у - 1)? — 4, (1 + V3, 1) O c. (x – 0)2 + (y – 1)² = 2, (1, 1 + v3) O d. (x – 0)² + (y – 1)? = 2², (1, 1 + v3) а.
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Evaluate the following line integral along the curve C. [(x+y+z) (x+y+z)ds; C is the part of the circle r(t) = (12 cos t, 0, 12 sin t), for Osts 3π 2