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6. Consider the function f(x, y) = x +2y³ and the point P = (1, 1,3). (₁ (b) ( ) Write the equation for the tangent plane to the surface z = point P. Use part (a) to approximate f(1.5, 1.5). f(x, y) at the

6. Consider the function f(x, y) = x +2y³ and the point P = (1, 1,3). (₁ (b) ( ) Write the equation for the tangent plane to the surface z = point P. Use part (a) to approximate f(1.5, 1.5). f(x, y) at the

Advanced Engineering Mathematics
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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6. Consider the function f(x, y) = x +2y³ and the point P = (1, 1, 3). (₁ ) Write the equation for the tangent plane to the surface z = point P. (b) ( Use part (a) to approximate f(1.5, 1.5). (c) Use MATLAB to graph the following, all on the same graph with domain {1 ≤ x ≤ 1.5,1 ≤ y ≤ 1.5}. i ii. (2 iii. the horizontal plane through P ) the tangent plane in part (a) ) f(x, y) f(x,y) at the = Print the graph in part (c), rotated so that the point (x, y): (a, b) = (1, 1) is at the back. (1.5, 1.5) is at the front and
Transcribed Image Text:6. Consider the function f(x, y) = x +2y³ and the point P = (1, 1, 3). (₁ ) Write the equation for the tangent plane to the surface z = point P. (b) ( Use part (a) to approximate f(1.5, 1.5). (c) Use MATLAB to graph the following, all on the same graph with domain {1 ≤ x ≤ 1.5,1 ≤ y ≤ 1.5}. i ii. (2 iii. the horizontal plane through P ) the tangent plane in part (a) ) f(x, y) f(x,y) at the = Print the graph in part (c), rotated so that the point (x, y): (a, b) = (1, 1) is at the back. (1.5, 1.5) is at the front and
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