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. f(x,y) at the
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. f(x,y) at the
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1535f8f-e5f9-4986-9690-5fd1f204b0f4%2Ff336ae4c-d038-4da2-90d6-3ab5d1b3a6b9%2Fbaht4f_processed.jpeg&w=3840&q=75)
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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