Sketch the vector and scalar fields. Describe the nature of vector fields Find also Curl and divergence in parts (i)-(iii). In parts (iv) and (v), find unit normal to the given surface at a point of your choice. (i) F=xi-yj (ii) G=xi-yj (iii) H=cos(x +y)i+sin(x –y)j, (iv) f = 4x – 3y +pz for -p

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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when P =7
Q6 (a)
Sketch the vector and scalar fields. Describe the nature of vector fields.
Find also Curl and divergence in parts (i)-(iii). In parts (iv) and (v), find a
unit normal to the given surface at a point of your choice.
(1) F=xi-yj (ii) G=xi-yj
(ii) H=cos(x +y)i+sin(x – y)j,
(iv) f = 4x – 3y +pz for -p <x , y <p.
(v) g = px? +5y² for -p <2x,2y <p.
Transcribed Image Text:Q6 (a) Sketch the vector and scalar fields. Describe the nature of vector fields. Find also Curl and divergence in parts (i)-(iii). In parts (iv) and (v), find a unit normal to the given surface at a point of your choice. (1) F=xi-yj (ii) G=xi-yj (ii) H=cos(x +y)i+sin(x – y)j, (iv) f = 4x – 3y +pz for -p <x , y <p. (v) g = px? +5y² for -p <2x,2y <p.
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