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The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most rapidly. T(x, y) = 50x² - 2y ², P(4, -3) Find the rate of increase (in degrees per centimeter). (Round your answer to two decimal places.) per centimeter

The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most rapidly. T(x, y) = 50x² - 2y ², P(4, -3) Find the rate of increase (in degrees per centimeter). (Round your answer to two decimal places.) per centimeter

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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The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most rapidly. T(x, y) = 50x² - 2y², P(4, -3) Find the rate of increase (in degrees per centimeter). (Round your answer to two decimal places.) ° per centimeter
Transcribed Image Text:The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters. Find the direction from point P where the temperature increases most rapidly. T(x, y) = 50x² - 2y², P(4, -3) Find the rate of increase (in degrees per centimeter). (Round your answer to two decimal places.) ° per centimeter
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