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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
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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- The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotationing it out of the xy-plane and around the x-axis. Create the equation for the surface.arrow_forwardI need the answer as soon as possiblearrow_forwarda) Find the equation for the tangent plane to the surface z = 4xy - 2x² - y² at the point P = (2, 1, −1). b) At which points of the surface is the tangent plane horizontal?arrow_forward
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