a. How are the constants a, b, and c related if the following differential form is exact?

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a. How are the constants a, b, and c related if the following differential form is exact? (ay2 + 2czx) dx + y(bx + cz) dy + (ay2 + cx2) dz

b. For what values of b and c will F = (y2 + 2czx)i + y(bx + cz)j + ( y2 + cx2)k be a gradient field?

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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