Question

If the gradient of f is ∇f = z^3j - yi - xzk and the point P = (1, -8, 1) lies on the level surface f(x, y, z) = 0, find an equation for the tangent plane to the surface at the point P.

Name: if the gradient of f is fz3j yi xzk and the point p181 lies on the level surface fxyz0 find an equation for the tangent plane to the surface at the point p 11767
Uploaded: 2022-08-12T12:18:54-08:00
Duration: 2 min 12 s
Channel: Vincenzo Zaccaro
Description: if the gradient of f is fz3j yi xzk and the point p181 lies on the level surface fxyz0 find an equation for the tangent plane to the surface at the point p 11767

          If the gradient of f is ∇f = z^3j - yi - xzk and the point P = (1, -8, 1) lies on the level surface f(x, y, z) = 0, find an equation for the tangent plane to the surface at the point P.

Added by Rebecca M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

08/12/2022

Step 1

Step 1:** Evaluate the gradient of f at point P: Gradient of f at P = (-8, 1, -1) ** Show more…

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If the gradient of f is ∇f = z^3j - yi - xzk and the point P = (1, -8, 1) lies on the level surface f(x, y, z) = 0, find an equation for the tangent plane to the surface at the point P.