Find the equation of the tangent plane and normal line at the point (1,2, −1) tothe surface 𝑥2 + 2𝑦2 + 3𝑧2 = 12
Question
Solution 1
To find the equation of the tangent plane and normal line at the point (1,2, −1) to the surface 𝑥2 + 2𝑦2 + 3𝑧2 = 12, we can follow these steps:
Step 1: Calculate the partial derivatives of the given surface equation with respect to x, y, and z. ∂/∂𝑥 (𝑥2 + 2𝑦2 + 3𝑧2) = 2𝑥 ∂/∂𝑦 (𝑥2 + 2𝑦2 + 3𝑧2) Knowee AI is a powerful AI-powered study tool designed to help you to solve study
2𝑦2 + 3𝑧2) Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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