Suppose that z is an implicit function of x and y in a neighborhood of the point P = (1, 1, 0) of the surface S of the equation: xy + yz + zx = 1 An equation for the line tangent to the surface S at the point P, in the direction of the vector w = (1, −2), corresponds to: The answers are in the attached image.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that z is an implicit function of x and y in a neighborhood of the point P = (1, 1, 0) of the surface S of the equation:

xy + yz + zx = 1

An equation for the line tangent to the surface S at the point P, in the direction of the vector w = (1, −2), corresponds to:

The answers are in the attached image.

 

A) (r, y, 2) = (1, 1,0) + t (1, –2, ), teR
/5
B) (r, y, z) = (1, 1,0) + t (1, –2, 4), teR
C) (r, y, z) = (1, 1, 0) + t (1, –2, }), teR
D) (2, y, 2) = (1, 1,0) + t ( ), tER
Transcribed Image Text:A) (r, y, 2) = (1, 1,0) + t (1, –2, ), teR /5 B) (r, y, z) = (1, 1,0) + t (1, –2, 4), teR C) (r, y, z) = (1, 1, 0) + t (1, –2, }), teR D) (2, y, 2) = (1, 1,0) + t ( ), tER
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