Problem #2: The heat index I is the perceived air temperature when the actual temperature is T and the relative humidity is H, that is, I = f(T,H). Consider the following table of values of I taken from a table compiled by the National Weather Service. Relative humidity (%) 70 75 50 55 60 65 80 85 90 T 90 96 98 100 103 106 109 112 115 119 92 100 103 105 108 112 115 119 123 128 Actual 94 104 107 114 118 122 127 132 137 temperature (°F) 96 109 113 116 121 125 130 135 141 146 98 114 118 123 127 133 138 144 150 157 100 119 124 129 135 141 147 154 161 168 Use the table to find a linear approximation to the heat index function when the actual temperature is near 98°F and the relative humidity is near 60%. Then estimate the heat index when the actual temperature is 99°F and the relative humidity is 59%. (Note that IT(98,60) = 3 and Iµ(98,60) = 0.8.) Problem #2:
Problem #2: The heat index I is the perceived air temperature when the actual temperature is T and the relative humidity is H, that is, I = f(T,H). Consider the following table of values of I taken from a table compiled by the National Weather Service. Relative humidity (%) 70 75 50 55 60 65 80 85 90 T 90 96 98 100 103 106 109 112 115 119 92 100 103 105 108 112 115 119 123 128 Actual 94 104 107 114 118 122 127 132 137 temperature (°F) 96 109 113 116 121 125 130 135 141 146 98 114 118 123 127 133 138 144 150 157 100 119 124 129 135 141 147 154 161 168 Use the table to find a linear approximation to the heat index function when the actual temperature is near 98°F and the relative humidity is near 60%. Then estimate the heat index when the actual temperature is 99°F and the relative humidity is 59%. (Note that IT(98,60) = 3 and Iµ(98,60) = 0.8.) Problem #2:
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:Problem #2: The heat index I is the perceived air temperature when the actual temperature is T and the relative humidity is H,
that is, I = f(T,H). Consider the following table of values of I taken from a table compiled by the National
Weather Service.
Relative humidity (%)
50
55
65 70 75
60
85
90
T
90
96
98
100
103
106
109
112
115
119
92
100
103
105
108
112
115
119
123
128
Actual
94
104
107
11
114
118
122
127
132
137
temperature
(°F)
96
109
113
116
121
125
130
135
141
146
98
114
118
123
127
133
138
144
150
157
100
119
124
129
135
141
147
154
161
168
Use the table to find a linear approximation to the heat index function when the actual temperature is near 98°F
and the relative humidity is near 60%. Then estimate the heat index when the actual temperature is 99°F and the
relative humidity is 59%. (Note that IT(98,60) z 3 and I#(98,60) - 0.8.)
Problem #2:
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