6. A portable thermometer shows a reading of 80F inside a room at 9 A.M. The...

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6. A portable thermometer shows a reading of 80F inside a room at 9 A.M. The thermometer is taken outside and left where the temperature is -10F. At 9:02 A.M. the thermometer reads 30F. 1 a) What will the thermometer read at 9:10 A.M.? b) What will the thermometer read at 9:15 A.M.? 7. Given the following formula for "e" is defined, Tirn Tarn e=r -T+T T Tirn Tarn r r Show that e=1- 1 rn-1 8. The rate of cooling of an object as it relates to its distance from the cold source is given in the table below. d (cm) 0.63 1.9 3.8 7.5 10 15 R (C/s) 600 100 46 17 8.0 6.0 a) Plot the data on log-log paper to determine R as a function of d. b) Predict the value of R when d=4.5 cm in two ways (i) from the graph. (ii) from the function. 9. A bacteria culture is grown in an experimental medium and the colony size as a function of time is recorded as follows. N (colony size) 50 t (hours) 140 0 2 350 750 4 6 2200 8 a) Plot the data on semi-log paper to determine N as a function of t. b) Predict the value of N when t=5 h and when t= 12 h in two ways (i) from the graph. (ii) from the function. 6. A portable thermometer shows a reading of 80F inside a room at 9 A.M. The thermometer is taken outside and left where the temperature is -10F. At 9:02 A.M. the thermometer reads 30F. 1 a) What will the thermometer read at 9:10 A.M.? b) What will the thermometer read at 9:15 A.M.? 7. Given the following formula for "e" is defined, Tirn Tarn e=r -T+T T Tirn Tarn r r Show that e=1- 1 rn-1 8. The rate of cooling of an object as it relates to its distance from the cold source is given in the table below. d (cm) 0.63 1.9 3.8 7.5 10 15 R (C/s) 600 100 46 17 8.0 6.0 a) Plot the data on log-log paper to determine R as a function of d. b) Predict the value of R when d=4.5 cm in two ways (i) from the graph. (ii) from the function. 9. A bacteria culture is grown in an experimental medium and the colony size as a function of time is recorded as follows. N (colony size) 50 t (hours) 140 0 2 350 750 4 6 2200 8 a) Plot the data on semi-log paper to determine N as a function of t. b) Predict the value of N when t=5 h and when t= 12 h in two ways (i) from the graph. (ii) from the function.