Consider the surface in 3D described by the equation z = x2 + y² – 16. (You might want to start by using CalcPlot3D to graph this surface, although this is not required.) Deas sucific as possiar d. Find an equation for the plane that is tangent to the surface at the point (0, 4,0) . e. Include a picture (either from CalcPlot3D or a sketch) showing the surface and the tangent plane that you found in part (d).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the surface in 3D described by the equation z = x? + y?
16.
(You might want to start by using CalcPlot3D to graph this surface, although this is not required.)
d. Find an equation for the plane that is tangent to the surface at the point (0, 4,0).
e. Include a picture (either from CalcPlot3D or a sketch) showing the surface and the tangent plane that you found in part (d).
Transcribed Image Text:Consider the surface in 3D described by the equation z = x? + y? 16. (You might want to start by using CalcPlot3D to graph this surface, although this is not required.) d. Find an equation for the plane that is tangent to the surface at the point (0, 4,0). e. Include a picture (either from CalcPlot3D or a sketch) showing the surface and the tangent plane that you found in part (d).
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