1. Find the curl of the following vector fields: (a) F = cos(e)i + √y³ +y6 + y²j+z¹+tan² z k. (b) Fyzi - 2xzj + xy k. (c) F = xy cos zi+xy cos zj+xy cos z k.

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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B and C ONLY
1. Find the curl of the following vector fields:

(a) **F** = cos(e^x) **i** + √(y³ + y⁶ + y⁷) **j** + z^(1+tan²z) **k**.

(b) **F** = yz **i** - 2xz **j** + xy **k**.

(c) **F** = xy cos z **i** + xy cos z **j** + xy cos z **k**.
Transcribed Image Text:1. Find the curl of the following vector fields: (a) **F** = cos(e^x) **i** + √(y³ + y⁶ + y⁷) **j** + z^(1+tan²z) **k**. (b) **F** = yz **i** - 2xz **j** + xy **k**. (c) **F** = xy cos z **i** + xy cos z **j** + xy cos z **k**.
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