19. Below is the data set for the temperature on an exceptionally hot day in Boise over an 8-hour period. The time t = 0 corresponds to 12:00 p.m. and range temperature T(t) is measured in degrees Fahrenheit as a function of time t. 12:00p.m. 1:00 p.m. 2:00 p.m. 3:00 p.m. 4:00 p.m. 5:00 p.m. 6:00 p.m. 7:00 p.m. 8:00 p.m. Time, t Temp (°F), T(t) 0 74 80 86 95 101 1 2 3 4 5 6 7 8 100 96 88 76 Temperature (degrees F) 105 100 95 90 85 80 75 70 65 60 · 0 1 b) Write the linearization for the temperature at t = 3. 2 a) Find a good approximation of the ROC at t = 3. Include units. Temperature vs. Time ● 6 3 5 Time (hours starting at 12:00 p.m.) 4 c) Find the linear approximation for the temperature at t=3.5 (3:30PM). 7 8

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19. Below is the data set for the temperature on an exceptionally hot day in Boise over an 8-hour period.
The time t = 0 corresponds to 12:00 p.m. and range temperature T(t) is measured in degrees
Fahrenheit as a function of time t.
12:00 p.m.
1:00 p.m.
2:00 p.m.
3:00 p.m.
4:00 p.m.
5:00 p.m.
6:00 p.m.
7:00 p.m.
8:00 p.m.
Time, t Temp (°F), T(t)
0
74
1
80
86
95
101
100
96
88
76
2
3
اداس
4
5
6
7
8
Temperature (degrees F)
105
100
95
90
85
80
75
70
65
60
0
1
b) Write the linearization for the temperature at t = 3.
2
a) Find a good approximation of the ROC at t = 3. Include units.
Temperature vs. Time
6
3
5
Time (hours starting at 12:00 p.m.)
c) Find the linear approximation for the temperature at t = 3.5 (3:30PM).
7
8
9
Transcribed Image Text:19. Below is the data set for the temperature on an exceptionally hot day in Boise over an 8-hour period. The time t = 0 corresponds to 12:00 p.m. and range temperature T(t) is measured in degrees Fahrenheit as a function of time t. 12:00 p.m. 1:00 p.m. 2:00 p.m. 3:00 p.m. 4:00 p.m. 5:00 p.m. 6:00 p.m. 7:00 p.m. 8:00 p.m. Time, t Temp (°F), T(t) 0 74 1 80 86 95 101 100 96 88 76 2 3 اداس 4 5 6 7 8 Temperature (degrees F) 105 100 95 90 85 80 75 70 65 60 0 1 b) Write the linearization for the temperature at t = 3. 2 a) Find a good approximation of the ROC at t = 3. Include units. Temperature vs. Time 6 3 5 Time (hours starting at 12:00 p.m.) c) Find the linear approximation for the temperature at t = 3.5 (3:30PM). 7 8 9
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