For each of the following vector functions F, calculate F. dŔ from the origin to (1,1,1) along the curve: (a) xyz when (i) = (2xyz³, −x²z³ - 2y, 3x²yz²) Sc F. dŔ= (ii) = (2xy, x²+2yz, y² + 1) Sc F.dŔ= (b) the curve y = x², and z = x³ when (i) ♬ = (2xyz³, −x² z³ — 2y, 3x²yz²) Sc F.dŔ= (ii) = (2xy, x²+2yz, y² + 1) Sc F.dŔ= Please report in fraction and not decimal format
For each of the following vector functions F, calculate F. dŔ from the origin to (1,1,1) along the curve: (a) xyz when (i) = (2xyz³, −x²z³ - 2y, 3x²yz²) Sc F. dŔ= (ii) = (2xy, x²+2yz, y² + 1) Sc F.dŔ= (b) the curve y = x², and z = x³ when (i) ♬ = (2xyz³, −x² z³ — 2y, 3x²yz²) Sc F.dŔ= (ii) = (2xy, x²+2yz, y² + 1) Sc F.dŔ= Please report in fraction and not decimal format
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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Transcribed Image Text:For each of the following vector functions F, calculate F. dŔ from the origin to (1,1,1) along the curve:
(a) xyz when
(i)
= (2xyz³, −x²z³ - 2y, 3x²yz²)
Sc F. dŔ=
(ii)
= (2xy, x²+2yz, y² + 1)
Sc F.dŔ=
(b) the curve y = x², and z = x³ when
(i) ♬ = (2xyz³, −x² z³ — 2y, 3x²yz²)
Sc F.dŔ=
(ii) = (2xy, x²+2yz, y² + 1)
Sc F.dŔ=
Please report in fraction and not decimal format
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