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Unformatted text preview: WebAssignment for HW14 1. Prove that · ×F =0 2. Given a ﬁeld of the form F =< 0, 0, h(x, y ) >, where |F | = 1, and ﬁeld lines are represented by x and o (shown below). o representing a vector pointing in the positive z direction and x representing a vector pointing in the negative z direction, sketch the circulation ﬁeld in the x − y plane. 1 3. Given the ﬁeld below, (a). Estimate the sign (+,0,-) of the divergence of the ﬁeld at the point P(-1,0). (b). Estimate the sign (+,0,-) of the curl of the ﬁeld at the point (1,1). (c). Estimate the value of the ﬂux for a circle of radius 1 centered at the origin. (positive is outward) (d). Estimate the value of the circulation for a circle of radius 1 centered at the origin. (positive is CCW) 2 ...
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This note was uploaded on 12/25/2009 for the course MATH 1920 taught by Professor Pantano during the Spring '06 term at Cornell University (Engineering School).
- Spring '06
- Multivariable Calculus