(a) Using contours, sketch the scalar field f(r) = x - y² in the (x, y)-plane. Sketch and label enough contours to make the form of the field clear.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
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(a) Using contours, sketch the scalar field ƒ(r.) = x − y² in the (x, y)-plane. Sketch and label enough
contours to make the form of the field clear.
(b) Using arrows, clearly sketch the vector field u(r) = (x + yz, xz+y, xyz) in the (x, y)-plane.
Transcribed Image Text:(a) Using contours, sketch the scalar field ƒ(r.) = x − y² in the (x, y)-plane. Sketch and label enough contours to make the form of the field clear. (b) Using arrows, clearly sketch the vector field u(r) = (x + yz, xz+y, xyz) in the (x, y)-plane.
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