Find the tangent plane to the equation z 5a2 - 4y +5y at the point (5, 5, - 200)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem: Tangent Plane Calculation**

Find the tangent plane to the equation \( z = -5x^2 - 4y^2 + 5y \) at the point \( (5, 5, -200) \).

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\( z = \) [Input field for the equation of the tangent plane]

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Transcribed Image Text:**Problem: Tangent Plane Calculation** Find the tangent plane to the equation \( z = -5x^2 - 4y^2 + 5y \) at the point \( (5, 5, -200) \). --- **Solution Box:** \( z = \) [Input field for the equation of the tangent plane] --- **Additional Help:** [Video icon] Video **Submit Button:** [Submit Question Button]
Expert Solution
Step 1

The equation of the tangent plane to a surface  is given by 
fx(x-a)+fy(y-b)+fz(z-c)=0
where (a,b,c) = points from which plane is passing 
and
fx=dfdx(a,b,c)fy=dfdy(a,b,c)fz=dfdz(a,b,c)

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