Staying Cool Let 7 (x, y) be the temperature in a 10 ft x 10ft room on a winter night, where one comer of the room is at (0, 0) and the opposite comer is at (10, 10). For each of the following functions T, (a) Draw a graph of the temperature function. (b) Describe the likely floor locations of the heat vents. (c) Suppose you like to sleep with a temperature of 70° or less. Where would you put the bed? 1. 7 (r, y) = 78 – [x² + (v – 5y°]
Staying Cool Let 7 (x, y) be the temperature in a 10 ft x 10ft room on a winter night, where one comer of the room is at (0, 0) and the opposite comer is at (10, 10). For each of the following functions T, (a) Draw a graph of the temperature function. (b) Describe the likely floor locations of the heat vents. (c) Suppose you like to sleep with a temperature of 70° or less. Where would you put the bed? 1. 7 (r, y) = 78 – [x² + (v – 5y°]
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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![Staying Cool
Let T (x, y) be the temperature in a 10 ft x 10 ft 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.
(b) Describe the likely floor locations of the heat vents.
(c) Suppose you like to sleep with a temperature of 70° or less. Where would you put the bed?
1. T (x, y) = 78 – to (x? + v – 5)²]
2. T (x, y) = x – y + 75](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71827783-a847-4fec-95bb-0b50a70c68d0%2F32894fc0-9972-429d-a73e-762d3c244f7a%2Fs58mbo3_processed.png&w=3840&q=75)
Transcribed Image Text:Staying Cool
Let T (x, y) be the temperature in a 10 ft x 10 ft 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.
(b) Describe the likely floor locations of the heat vents.
(c) Suppose you like to sleep with a temperature of 70° or less. Where would you put the bed?
1. T (x, y) = 78 – to (x? + v – 5)²]
2. T (x, y) = x – y + 75
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