In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in this table. %3D (a) What is the value of f(-20, 80)? What is its meaning? f(-20, 80) = -38 which means that if the temperature is -20°C and the wind speed is 80 km/h, then the air would feel equivalent to approximately -38 °C without wind. %3D (b) Describe in words the meaning of the question "For what value of v is f(-15, v) = -23?" The question is asking: when the temperature is .5 X °C, what wind speed gives a wind-chill index of .7 X °C? Answer the question. V = 5 X km/h (c) Describe in words the meaning of the question "For what value of T is f(T, 15) = -48?" The question is asking: when the wind speed is 5 x km/h, what temperature gives a wind-chill index of .47 X °C? Answer the question. T = -40 X °C

In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in this table. %3D (a) What is the value of f(-20, 80)? What is its meaning? f(-20, 80) = -38 which means that if the temperature is -20°C and the wind speed is 80 km/h, then the air would feel equivalent to approximately -38 °C without wind. %3D (b) Describe in words the meaning of the question "For what value of v is f(-15, v) = -23?" The question is asking: when the temperature is .5 X °C, what wind speed gives a wind-chill index of .7 X °C? Answer the question. V = 5 X km/h (c) Describe in words the meaning of the question "For what value of T is f(T, 15) = -48?" The question is asking: when the wind speed is 5 x km/h, what temperature gives a wind-chill index of .47 X °C? Answer the question. T = -40 X °C

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

100%

In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in this table.
%3D
(a) What is the value of f(-20, 80)? What is its meaning?
f(-20, 80) = -38
which means that if the temperature is -20°C and the wind speed is 80 km/h, then the air would feel equivalent to approximately -38
°C without wind.
%3D
(b) Describe in words the meaning of the question "For what value of v is f(-15, v) = -23?"
The question is asking: when the temperature is .5
X °C, what wind speed gives a wind-chill index of .7
X °C?
Answer the question.
V = 5
X km/h
(c) Describe in words the meaning of the question "For what value of T is f(T, 15) = -48?"
The question is asking: when the wind speed is 5
x km/h, what temperature gives a wind-chill index of .47
X °C?
Answer the question.
T = -40
X °C

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