Find equations of the tangent plane and normal line to the surface x = 2y^2 + 4z^2 - 13 at the point (-5, 2, 0). Tangent Plane: make the coefficient of x equal to 1 ?=0 Normal line: (-5, ?, ?) + t(1, ?, ?)
Added by Thomas W.
Step 1
∂x/∂y = 4y ∂x/∂z = 8z Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 58 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find equations of (a) the tangent plane and (b) the normal line to the given surface at the specified point. $ 2(x - 2)^2 + (y - 1)^2 + (z - 3)^2 = 10 $, $ (3, 3, 5) $
Partial Derivatives
Directional Derivatives and the Gradient Vector
Find equations of the tangent plane and normal line to the surface at the given point. $$z=x^{2}+y^{3} \text { at }(1,-1,0)$$
Functions of Several Variables and Partial Differentiation
The Gradient and Directional Derivatives
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD