H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in this situation. dv Interpret the meaning of O change in heat loss with respect to temperature O rate of change of time with respect to heat loss O rate of change of wind velocity with respect to heat loss O rate of change of wind velocity with respect to time O rate of change of heat loss with respect to wind velocity (b) Find the rates of change of H when v = and when v = 7. (Round your answers to three decimal places). H'(6) = kcal/m3 H'(7) = kcal/m3

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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At 0° Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by
H = 33(10v - v + 10.45)
where v is the wind speed (in meters per second).
dH
(a) Find
dv
dH
dv
dH
in this situation.
dv
Interpret the meaning of
O change in heat loss with respect to temperature
O rate of change of time with respect to heat loss
O rate of change of wind velocity with respect to heat loss
O rate of change of wind velocity with respect to time
O rate of change of heat loss with respect to wind velocity
(b) Find the rates of change of H when v = 6 and when v = 7. (Round your answers to three decimal places).
H'(6) =
kcal/m3
H'(7) =
kcal/m3
Transcribed Image Text:At 0° Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by H = 33(10v - v + 10.45) where v is the wind speed (in meters per second). dH (a) Find dv dH dv dH in this situation. dv Interpret the meaning of O change in heat loss with respect to temperature O rate of change of time with respect to heat loss O rate of change of wind velocity with respect to heat loss O rate of change of wind velocity with respect to time O rate of change of heat loss with respect to wind velocity (b) Find the rates of change of H when v = 6 and when v = 7. (Round your answers to three decimal places). H'(6) = kcal/m3 H'(7) = kcal/m3
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