The value of ∂ W C ∂ t , that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15 ∘ F together with a wind speed of 35 mph feels the same as an air temperature of − 7 ∘ F when there is no wind. The wind chill WC has been modeled by W C = 35.74 + 0.6215 t − 35.75 s 0.16 + 0.4275 t s 0.16 where s is the wind speed and t actual air temperature. Wind Speed (mph) Air Temperature ( ∘ F ) 35 25 15 5 − 5 − 15 − 25 5 31 19 7 − 5 − 16 − 28 − 40 15 25 13 0 − 13 − 26 − 39 − 51 25 23 9 − 4 − 17 − 31 − 44 − 58 35 21 7 − 7 − 21 − 34 − 48 − 62 45 19 5 − 9 − 23 − 37 − 51 − 65

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Answer 1

Question

Chapter 14.2, Problem 56E

(a)

To determine

To calculate: The value of ∂WC∂t, that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

(b)

To determine

To calculate: The value of ∂WC∂t when the temperature is 10∘F and the wind speed is 25 mph. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature. Interpret the answer.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

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Answer 2

Question

Chapter 14.2, Problem 56E

(a)

To determine

To calculate: The value of ∂WC∂t, that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

(b)

To determine

To calculate: The value of ∂WC∂t when the temperature is 10∘F and the wind speed is 25 mph. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature. Interpret the answer.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

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Answer 3

Question

Chapter 14.2, Problem 56E

(a)

To determine

To calculate: The value of ∂WC∂t, that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

(b)

To determine

To calculate: The value of ∂WC∂t when the temperature is 10∘F and the wind speed is 25 mph. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature. Interpret the answer.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

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Answer 4

Question

Chapter 14.2, Problem 56E

(a)

To determine

To calculate: The value of ∂WC∂t, that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

(b)

To determine

To calculate: The value of ∂WC∂t when the temperature is 10∘F and the wind speed is 25 mph. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature. Interpret the answer.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

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Answer 5

Chapter 14.2, Problem 56E

(a)

To determine

To calculate: The value of ∂WC∂t, that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

(b)

To determine

To calculate: The value of ∂WC∂t when the temperature is 10∘F and the wind speed is 25 mph. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature. Interpret the answer.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

Answer 6

Chapter 14.2, Problem 56E

(a)

To determine

To calculate: The value of ∂WC∂t, that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

Answer 7

Chapter 14.2, Problem 56E

(a)

To determine

To calculate: The value of ∂WC∂t, that is, how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

Answer 8

(b)

To determine

To calculate: The value of ∂WC∂t when the temperature is 10∘F and the wind speed is 25 mph. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature. Interpret the answer.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

Answer 9

(b)

To determine

To calculate: The value of ∂WC∂t when the temperature is 10∘F and the wind speed is 25 mph. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. In 2001, the National Weather Service introduced the new wind chill index given in the table. This new index is more accurate at measuring how cold it feels when it is windy. For example, the table shows that an air temperature of 15∘F together with a wind speed of 35 mph feels the same as an air temperature of −7∘F when there is no wind. The wind chill WC has been modeled by WC=35.74+0.6215t−35.75s0.16+0.4275ts0.16 where s is the wind speed and t actual air temperature. Interpret the answer.

Wind Speed (mph) Air Temperature (∘F)

35 25 15 5 −5 −15 −25

5 31 19 7 −5 −16 −28 −40

15 25 13 0 −13 −26 −39 −51

25 23 9 −4 −17 −31 −44 −58

35 21 7 −7 −21 −34 −48 −62

45 19 5 −9 −23 −37 −51 −65

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 14.1 - CHECKPOINT 1. Find the domain of the function Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

Solution Summary: The author explains how the wind chill temperature changes with temperature. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures.

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Chapter 14 Solutions

Wind Speed (mph)	Air Temperature (∘F)
			35	25	15	5	−5	−15	−25
	5	31	19	7	−5	−16	−28	−40
	15	25	13	0	−13	−26	−39	−51
	25	23	9	−4	−17	−31	−44	−58
	35	21	7	−7	−21	−34	−48	−62
	45	19	5	−9	−23	−37	−51	−65