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 st rapidly. T(x, y) = 50 – x2 – 4y², P(4, –1) 1 the rate of increase. (Round your answer to two decimal places.) • per centimeter

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
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a) Find the direction from point P where the temperature increases more rapidly

 

b) find the rate of increase

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, у) %3D 50 - х2 - 4y?, P(4, -1)
Find the rate of increase. (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, у) %3D 50 - х2 - 4y?, P(4, -1) Find the rate of increase. (Round your answer to two decimal places.) ? ° per centimeter
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