(a) Find the equation of the tangent plane for the implicitly defined surface xy + xz+yz = 5 at the point (1, 1, 2). Show your process for doing this. (b) Find the equation of the tangent plane for the explicitly defined surface z = point (1, 2, 1). Show your process for doing this. (c) Explain the difference in the processes for part (a) and part (b). y-x at the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Find the equation of the tangent plane for the implicitly defined surface \(xy + xz + yz = 5\) at the point \((1, 1, 2)\). Show your process for doing this.

(b) Find the equation of the tangent plane for the explicitly defined surface \(z = \sqrt{y - x}\) at the point \((1, 2, 1)\). Show your process for doing this.

(c) Explain the difference in the processes for part (a) and part (b).
Transcribed Image Text:(a) Find the equation of the tangent plane for the implicitly defined surface \(xy + xz + yz = 5\) at the point \((1, 1, 2)\). Show your process for doing this. (b) Find the equation of the tangent plane for the explicitly defined surface \(z = \sqrt{y - x}\) at the point \((1, 2, 1)\). Show your process for doing this. (c) Explain the difference in the processes for part (a) and part (b).
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