The tangent plane to z = f(x, y) at the point (1, 2) is z = 3x + 2y – 5. (a) Find f,(1,2) and f,(1, 2). (b) What is f(1, 2)? (c) Approximate S(1.1, 1.9).

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 29.** The tangent plane to \( z = f(x, y) \) at the point \( (1,2) \) is given by the equation \( z = 3x + 2y - 5 \).

**Questions:**

(a) Find \( f_x(1,2) \) and \( f_y(1,2) \).

(b) What is \( f(1,2) \)?

(c) Approximate \( f(1.1, 1.9) \).
Transcribed Image Text:**Problem 29.** The tangent plane to \( z = f(x, y) \) at the point \( (1,2) \) is given by the equation \( z = 3x + 2y - 5 \). **Questions:** (a) Find \( f_x(1,2) \) and \( f_y(1,2) \). (b) What is \( f(1,2) \)? (c) Approximate \( f(1.1, 1.9) \).
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