8. Consider the surface S of equation z2-2x? + y²-x= 0 and let P (2, 3, 1) be a point at S. Suppose z is an implicit function of x and y in a neighborhood of point P. Consider the following statements: II. The maximum directional derivative of z at point P is V13 Is this true or false?

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ISBN:9780470458365
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8) Answer the question shown in the image 

8. Consider the surface S of equation z2-2x2 + y²-x= 0 and let
P (2, 3, 1) be a point at S. Suppose z is an implicit function
of x and y in a neighborhood of point P. Consider the
following statements:
II. The maximum directional derivative of z at point P is
V13
3.
2
Is this true or false?
Transcribed Image Text:8. Consider the surface S of equation z2-2x2 + y²-x= 0 and let P (2, 3, 1) be a point at S. Suppose z is an implicit function of x and y in a neighborhood of point P. Consider the following statements: II. The maximum directional derivative of z at point P is V13 3. 2 Is this true or false?
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