2. Please 2. Write the formula for tangent plane of a function f(x,y) at a point x = a.y=b. How does this formula relate to the equation of a planeA (x-x)+B(y-y) + C (z −z) = = 0? Make sure to show how you get from one form to the other and what A,B,C,xtangent plane.oare in the3. Use implicit differentiation to findəzdxforx²+2y2+52²=2.

Answered: 2. Write the formula for tangent plane…

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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Related questions

Question

2. Please

2. Write the formula for tangent plane of a function f(x,y) at a point x = a.y=b. How does this formula relate to the equation of a plane
A (x-x)+B(y-y) + C (z −z) = = 0? Make sure to show how you get from one form to the other and what A,B,C,x
tangent plane.
o
are in the
3. Use implicit differentiation to find
əz
dx
for
x²+2y2+52²=2.

Expert Solution

Step 1: Introduction

Conisder a function $f (x, y)$ .

We need to find the tangent plane at $x = a, y = b$ .

Let $z = f (x, y)$ and $c = f (a, b)$ .

The given equation of plane is $A table row blank blank cell open parentheses x minus x subscript 0 close parentheses end cell end table table row blank blank plus end table table row blank blank B end table table row blank blank cell open parentheses y minus y subscript 0 close parentheses end cell end table table row blank blank plus end table table row blank blank C end table table row blank blank cell open parentheses z minus z subscript 0 close parentheses end cell end table table row blank equals blank end table table row blank blank 0 end table$ .