Mat 231 Project Staying Cool
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Group Work Multivariable Functions Staying Cool Let T ( x,y ) be the temperature in a 10ft X 10ft room on a winter night, where one corner of the room is at (0,0) and the opposite corner is at (10, 10). For each of the following functions T, a) Draw a graph of the temperature function inside the room. b) Draw a contour map of the temperature function inside the room. c) Describe the likely floor location of the heat vents. d) Suppose you like to sleep with a temperature of 70 0 or less. Where would you put your bed? 1. T ( x,y ) =78− 1 10 [ x 2 +( y−5 ) 2 ] 2. T ( x,y ) = 1 2 x−y +75
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lineamientos de proyecto de calculo vectorial
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Group WorkMultivariable Functions
Staying Cool
Let T (x , y ) be the temperature in a 10ft X 10ft room on a winter night, where one corner of the room is at (0,0) and the opposite corner is at (10, 10). For each of the following functions T,
a) Draw a graph of the temperature function inside the room.b) Draw a contour map of the temperature function inside the room.c) Describe the likely floor location of the heat vents.d) Suppose you like to sleep with a temperature of 700 or less. Where would you put your bed?
1. T ( x , y )=78− 110
[ x2+( y−5 )2]
2. T ( x , y )=12x− y+75