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# HW_05 - Assignment Previewer Page 1 of 12 HW 05(1289192...

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HW 05 (1289192) Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Description 15,1 Functions of several variables 15.2 Limits and continuity SCalc6 15.1.002. [832533] 1. Question Details The temperature-humidity index I (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h , so we can write I = f ( T , h ). The following table of values of I is an excerpt from a table compiled by the National Oceanic & Atmospheric Administration. (a) What is the value of f ( 95 , 20 )? Enter an exact number. 93 °F (b) For what value of h is f ( 80 , h ) = 82 ? Enter an exact number. 60 % (c) For what value of T is f ( T , 50 ) = 88 ? Enter an exact number. 85 °F Page 1 of 12 Assignment Previewer 6/7/2010 http://www.webassign.net/[email protected]/assignments/preview.tpl?aid=1289192&UserPass=46f8134af2a4250ee7e294a53a0...

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(d) What are the meanings of the functions I = f ( 80 , h ) and I = f ( 95 , h )? Compare the behavior of these two functions of h . Key: answers may vary SCalc6 15.1.005. [832350] 2. Question Details The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f ( v , t ) are recorded in feet in the table. (a) What is the value of f ( 40 , 15 )? Enter an exact number. 25 ft (b) What is the meaning of the function of h = f ( 50 , t )? We fix v and t , resulting in a constant value. We fix v = 50 and allow t to vary, resulting in an equation of one variable. We allow v and t to vary, resulting in a function of two variables.
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