4. Consider the function f(2, v, 2) = a + 3y – 2ryz. • Determine the equation of the tangent plane to the level surface Ly at the point of coordinates (2, –1, –1): The equation of the tangent plane is • Write the directional derivative of the function g(a, y, 2) = " in the direction of the vector normal to that plane at (2, -1, –1) given by V/(2, – 1, – 1). The directional derivative is
4. Consider the function f(2, v, 2) = a + 3y – 2ryz. • Determine the equation of the tangent plane to the level surface Ly at the point of coordinates (2, –1, –1): The equation of the tangent plane is • Write the directional derivative of the function g(a, y, 2) = " in the direction of the vector normal to that plane at (2, -1, –1) given by V/(2, – 1, – 1). The directional derivative is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. Consider the function f(z, y, 2) = a² + 3y? – 2ryz.
• Determine the equation of the tangent plane to the level surface Lz at the point
of coordinates (2, -1, –1):
The equation of the tangent plane is
Write the directional derivative of the function g(r, y, 2) = " in the direction of
the vector normal to that plane at (2, -1, -1) given by Vf(2, -1, –1).
The directional derivative is
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