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2, z) = 5 and the surfac e at (1,2,3). Evaluate = reasons).

2, z) = 5 and the surfac e at (1,2,3). Evaluate = reasons).

Advanced Engineering Mathematics
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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II2. Suppose f (x, y, z) and g(x, y, z) are continuously differentiable functions with f(1,2,3) = 5 and g(1,2, 3) = 7. Assume that the surface f(x, y, z) = 5 and the surface g(x,Y, z) = 7 have the same tangent plane at (1,2, 3). Evaluate Vf(1,2, 3) × Vg(1, 2, 3) (remember to give reasons).
Transcribed Image Text:II2. Suppose f (x, y, z) and g(x, y, z) are continuously differentiable functions with f(1,2,3) = 5 and g(1,2, 3) = 7. Assume that the surface f(x, y, z) = 5 and the surface g(x,Y, z) = 7 have the same tangent plane at (1,2, 3). Evaluate Vf(1,2, 3) × Vg(1, 2, 3) (remember to give reasons).
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