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(c) Determine whether the following function continuous at point (0, 0). Justify your answer. 2–xy if (x, y) # (1,1) f(x, y) = {V-v5 if (x, y) = (1,1) Zero marks will be given without showing the steps for solution.

(c) Determine whether the following function continuous at point (0, 0). Justify your answer. 2–xy if (x, y) # (1,1) f(x, y) = {V-v5 if (x, y) = (1,1) Zero marks will be given without showing the steps for solution.

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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Determine the domain and range of the given functions. Then sketch the contour plot of function using 3 level curves. 1 f (x, y) = Jay2 + cx² + 3(a + c) where a - The last digit of your matrix number For example, a student with the matrix number CD20008 will have the values of c = 8. Use 1 if the last digit is of your matrix number is 0. Zero marks will be given without showing the steps for solution. Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z? = -ay? – cx? + 8c (b) where a - The first digit of your matrix number c- The last digit of your matrix number For example, a student with the matrix number CD200008 will have the values of a = 2 and c = 8. Use 1 if the last digit is of your matrix number is 0. Zero marks will be given without showing the steps for solution. (c) Determine whether the following function continuous at point (0, 0). Justify your answer. if (x, y) # (1,1) f (x, y) : if (x, y) = (1,1) Zero marks will be given without showing the steps for solution.
Transcribed Image Text:Determine the domain and range of the given functions. Then sketch the contour plot of function using 3 level curves. 1 f (x, y) = Jay2 + cx² + 3(a + c) where a - The last digit of your matrix number For example, a student with the matrix number CD20008 will have the values of c = 8. Use 1 if the last digit is of your matrix number is 0. Zero marks will be given without showing the steps for solution. Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z? = -ay? – cx? + 8c (b) where a - The first digit of your matrix number c- The last digit of your matrix number For example, a student with the matrix number CD200008 will have the values of a = 2 and c = 8. Use 1 if the last digit is of your matrix number is 0. Zero marks will be given without showing the steps for solution. (c) Determine whether the following function continuous at point (0, 0). Justify your answer. if (x, y) # (1,1) f (x, y) : if (x, y) = (1,1) Zero marks will be given without showing the steps for solution.
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