Show that the only possible maxima and minima of z on the surface z = x 3
Question:
Show that the only possible maxima and minima of z on the surface z = x3 + y3 - 9xy + 27 occur at (0, 0) and (3, 3). Show that neither a maximum nor a minimum occurs at (0, 0). Determine whether z has a maximum or a minimum at (3, 3).
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Step by Step Answer:
To find the critical points we take partial derivatives of z with respect t...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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