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3. Find the parametric equation for the line tangent to the curve of intersection of the surfaces x² – y? – z2 = 11 and xy + yz – zx = 18 at the point (6,4, 3). 4. In what direction is the derivative of f (x, y) = xy + y² at (3,2) equal to zero.

3. Find the parametric equation for the line tangent to the curve of intersection of the surfaces x² – y? – z2 = 11 and xy + yz – zx = 18 at the point (6,4, 3). 4. In what direction is the derivative of f (x, y) = xy + y² at (3,2) equal to zero.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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3. Find the parametric equation for the line tangent to the curve of intersection of the surfaces x2 – y? – z2 = 11 and xy + yz – zx = 18 at the point (6, 4, 3). 4. In what direction is the derivative of f(x,y) = xy + y² at (3, 2) equal to zero.
Transcribed Image Text:3. Find the parametric equation for the line tangent to the curve of intersection of the surfaces x2 – y? – z2 = 11 and xy + yz – zx = 18 at the point (6, 4, 3). 4. In what direction is the derivative of f(x,y) = xy + y² at (3, 2) equal to zero.
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