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z = x* + x In y + sin x, where x is horizontal distance at x-direction, y is horizontal distance at y- direction, and z is ground level. (i) Compute the slope equation of the terrain at x and y direction (ii) Evaluate the slope of x and y direction at coordinate (4, 5).

z = x* + x In y + sin x, where x is horizontal distance at x-direction, y is horizontal distance at y- direction, and z is ground level. (i) Compute the slope equation of the terrain at x and y direction (ii) Evaluate the slope of x and y direction at coordinate (4, 5).

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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(b) Figure Q2(b) illustrates the 3D topography of a land plot to be developed. Based on computer modelling, the original terrain could be represented by the following equation z = x* + x In y + sin x, where x is horizontal distance at x-direction, y is horizontal distance at y- direction, and z is ground level. (i) Compute the slope equation of the terrain at x and y direction. (ii) Evaluate the slope of x and y direction at coordinate (4, 5).
Transcribed Image Text:(b) Figure Q2(b) illustrates the 3D topography of a land plot to be developed. Based on computer modelling, the original terrain could be represented by the following equation z = x* + x In y + sin x, where x is horizontal distance at x-direction, y is horizontal distance at y- direction, and z is ground level. (i) Compute the slope equation of the terrain at x and y direction. (ii) Evaluate the slope of x and y direction at coordinate (4, 5).
Figure Q2(b): Topography of the land
Transcribed Image Text:Figure Q2(b): Topography of the land
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