(d) What is the meaning of the function W = f(-15, v)? Describe the behavior of this function.The function W = f(-15, v) means that we fix T atand allow v to vary, resulting in a function of onevariable. In other words, the function gives wind-chill index values for different wind speeds when the temperature is°C. From the table (look at the row corresponding to T = -15), the function ---Select--- andappears to approach a constant value as v increases.(e) What is the meaning of the function W = f(T, 80)? Describe the behavior of this function.The function W = f(T, 80) means that we fix v atand allow T to vary, again giving a function of onevariable. In other words, the function gives wind-chill index values for different temperatures when the wind speed iskm/h. From the table (look at the column corresponding to v = 80), the function ---Select--- ✓ almostlinearly as T increases.Need Help?Read ItShow My Work (optional) →Watch It9:16 PM9/26/2022 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 windspeed. A numerical representation is given in this table.(a) What is the value of f(-20, 40)? What is its meaning?f(-20, 40) =, which means that if the temperature is -20°C and the wind speed is 40 km/h, thenthe air would feel equivalent to approximately°C without wind.(b) Describe in words the meaning of the question "For what value of v is f(-10, v) = -15?"The question is asking: when the temperature is°C?Answer the question.V =km/hAnswer the question.T =(c) Describe in words the meaning of the question "For what value of T is f(T, 10) = -39?"The question is asking: when the wind speed is°C?°C°C, what wind speed gives a wind-chill index ofEkm/h, what temperature gives a wind-chill index ofd9:16 PM9/26/2022

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. (a) What is the value of f(-20, 40)? What is its meaning? f(-20, 40) = which means that if the temperature is -20°C and the wind speed is 40 km/h, then the air would feel equivalent to approximately °C without wind. (b) Describe in words the meaning of the question "For what value of v is f(-10, v) = -15?" The question is asking: when the temperature is °C? Answer the question. V = km/h Answer the question. (c) Describe in words the meaning of the question "For what value of T is f(T, 10) = -39?" The question is asking: when the wind speed is °C? °C, what wind speed gives a wind-chill index of °C km/h, what temperature gives a wind-chill index of

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. (a) What is the value of f(-20, 40)? What is its meaning? f(-20, 40) = which means that if the temperature is -20°C and the wind speed is 40 km/h, then the air would feel equivalent to approximately °C without wind. (b) Describe in words the meaning of the question "For what value of v is f(-10, v) = -15?" The question is asking: when the temperature is °C? Answer the question. V = km/h Answer the question. (c) Describe in words the meaning of the question "For what value of T is f(T, 10) = -39?" The question is asking: when the wind speed is °C? °C, what wind speed gives a wind-chill index of °C km/h, what temperature gives a wind-chill index of

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

(d) What is the meaning of the function W = f(-15, v)? Describe the behavior of this function.
The function W = f(-15, v) means that we fix T at
and allow v to vary, resulting in a function of one
variable. In other words, the function gives wind-chill index values for different wind speeds when the temperature is
°C. From the table (look at the row corresponding to T = -15), the function ---Select--- and
appears to approach a constant value as v increases.
(e) What is the meaning of the function W = f(T, 80)? Describe the behavior of this function.
The function W = f(T, 80) means that we fix v at
and allow T to vary, again giving a function of one
variable. In other words, the function gives wind-chill index values for different temperatures when the wind speed is
km/h. From the table (look at the column corresponding to v = 80), the function ---Select--- ✓ almost
linearly as T increases.
Need Help?
Read It
Show My Work (optional) →
Watch It
9:16 PM
9/26/2022

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.
(a) What is the value of f(-20, 40)? What is its meaning?
f(-20, 40) =
, which means that if the temperature is -20°C and the wind speed is 40 km/h, then
the air would feel equivalent to approximately
°C without wind.
(b) Describe in words the meaning of the question "For what value of v is f(-10, v) = -15?"
The question is asking: when the temperature is
°C?
Answer the question.
V =
km/h
Answer the question.
T =
(c) Describe in words the meaning of the question "For what value of T is f(T, 10) = -39?"
The question is asking: when the wind speed is
°C?
°C
°C, what wind speed gives a wind-chill index of
E
km/h, what temperature gives a wind-chill index of
d
9:16 PM
9/26/2022

Expert Solution

Step 1

Solution:

Wind-chill index = W = f(T,v) = 13.12 + 0.6215T - 11.37(v^0.16) + 0.3965T(v^0.16) ,

T - Temperature in degree Celsius

v - Wind velocity in kilometers per hour

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