The heat index I is the perceived air temperature when the actual temperature is T and...

 

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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. Actual temperature (°F) Relative humidity (%) 55 60 65 90 90 96 98 100 103 106 109 112 115 119 92 100 103 105 108 112 115 119 123 128 94 104 107 111 114 118 122 127 132 137 96 109 113 116 121 125 130 135 141 146 98 114 118 123 127 133 138 144 150 157 100 119 124 129 135 141 147 168 T H 50 70 75 80 85 (a) Estimate the partial derivative I7(96, 55), where AT = 2 (b) Estimate the partial derivative IH(92, 65), where AH = 5. 154 161 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. Actual temperature (°F) Relative humidity (%) 55 60 65 90 90 96 98 100 103 106 109 112 115 119 92 100 103 105 108 112 115 119 123 128 94 104 107 111 114 118 122 127 132 137 96 109 113 116 121 125 130 135 141 146 98 114 118 123 127 133 138 144 150 157 100 119 124 129 135 141 147 168 T H 50 70 75 80 85 (a) Estimate the partial derivative I7(96, 55), where AT = 2 (b) Estimate the partial derivative IH(92, 65), where AH = 5. 154 161