Sketch the vector and scalar fields. Describe the nature of vector fields. Find also Curl and divergence in parts (i)-(ii). In parts (iv) and (v), find a unit normal to the given surface at a point of your choice. (1) F=x i-yj (i) G=yi-xj (ii) 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
icon
Related questions
Question

P=2

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=yi-xj
(iii) H=cos(x +y)i+sin(x –y)j,
(iv) f =4x – 3y +pz _for -p<x,y <p .
(v) g = px² +5y² for -p <2x,2y <p.
http://user.mendelu.cz/marik/EquationExplorer/vectorfield.html
https://www.monroecc.edu/faculty/paulseeburger/calcnsf/CalcPlot3D/
(b)
Find the parametric form of (i) the circle x²+y =p² (ii) the ellipse
2
y?
1 (iii) the straight line joining the points 1,2,4 and 2, p,7 .
+.
p' 25
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=yi-xj (iii) H=cos(x +y)i+sin(x –y)j, (iv) f =4x – 3y +pz _for -p<x,y <p . (v) g = px² +5y² for -p <2x,2y <p. http://user.mendelu.cz/marik/EquationExplorer/vectorfield.html https://www.monroecc.edu/faculty/paulseeburger/calcnsf/CalcPlot3D/ (b) Find the parametric form of (i) the circle x²+y =p² (ii) the ellipse 2 y? 1 (iii) the straight line joining the points 1,2,4 and 2, p,7 . +. p' 25
Expert Solution
steps

Step by step

Solved in 6 steps with 7 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning