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an 55. A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isother- mals) if the temperature function is given by T(x, y) 100 1 + x² + 2y²

an 55. A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isother- mals) if the temperature function is given by T(x, y) 100 1 + x² + 2y²

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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ountain 1? whose s than 10 4 00 0 - 45-52 Draw a contour map of the function showing several level curves. 45. f(x, y) = x² - y² 47. f(x, y) = √x + y 49. f(x, y) = ye* 51. f(x, y) = √√x² + y² X 46. f(x, y) = xy 48. f(x, y) = In(x² + 4y²) 50. f(x, y) = y - arctan x 52. f(x, y) = y/(x² + y²) A 53-54 Sketch both a contour map and a graph of the function and compare them. 53. f(x, y) = x² +9y² T(x, y) = 54. f(x, y) = √√√36-9x² - 4y² 55. A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isother- mals) if the temperature function is given by 100 1 + x² + 2y²
Transcribed Image Text:ountain 1? whose s than 10 4 00 0 - 45-52 Draw a contour map of the function showing several level curves. 45. f(x, y) = x² - y² 47. f(x, y) = √x + y 49. f(x, y) = ye* 51. f(x, y) = √√x² + y² X 46. f(x, y) = xy 48. f(x, y) = In(x² + 4y²) 50. f(x, y) = y - arctan x 52. f(x, y) = y/(x² + y²) A 53-54 Sketch both a contour map and a graph of the function and compare them. 53. f(x, y) = x² +9y² T(x, y) = 54. f(x, y) = √√√36-9x² - 4y² 55. A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isother- mals) if the temperature function is given by 100 1 + x² + 2y²
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