Explanation Given: T ( t ) = 10 s i n ( t π 31 ) + 14 sin ( t π 2 ) + 73 t 2 = 31 and t 1 = 0 Formula used: Average temperature= 1 t 2 − t 1 ∫ t 1 t 2 T ( x ) d x over the time period [ t 1 , t 2 ] Calculation: Average temperature= 1 t 2 − t 1 ∫ t 1 t 2 T ( x ) d x Put t 2 = 31 and t 1 = 0 = 1 31 − 0 ∫ 0 31 ( 10 s i n ( t π 31 ) + 14 sin ( t π 2 ) + 73 ) d t = 1 31 ∫ 0 31 ( 10 s i n ( t π 31 ) d t + 1 31 ∫ 0 31 14 sin ( t π 2 ) d t + 1 31 ∫ 0 31 73 d t = 1 31 × 10 ∫ 0 31 s i n ( t >&#...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6.2, Problem 51E

To determine

To find: The average temperature of town during the month of July having 31 days andtemperature $T (t) = 10 s i n (\frac{t π}{31}) + 14 \sin (\frac{t π}{31}) + 73^{o} F$ .

To explain: Why you see pattern like this?

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Chapter 6.2, Problem 50E

Chapter 6.2, Problem 52E

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Chapter 6 Solutions

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The average temperature of town during the month of July having 31 days andtemperature T ( t ) = 10 s i n ( t π 31 ) + 14 sin ( t π 31 ) + 73 o F . To explain: Why you see pattern like this?

Solution Summary: The author explains that the average temperature of the town during the month of July is 79.9 o F.

Concept explainers

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To find: The average temperature of town during the month of July having 31 days andtemperature $T (t) = 10 s i n (\frac{t π}{31}) + 14 \sin (\frac{t π}{31}) + 73^{o} F$ .

To explain: Why you see pattern like this?

Want to see the full answer?

Chapter 6 Solutions

The average temperature of town during the month of July having 31 days andtemperature T ( t ) = 10 s i n ( t π 31 ) + 14 sin ( t π 31 ) + 73 o F . To explain: Why you see pattern like this?

Solution Summary: The author explains that the average temperature of the town during the month of July is 79.9 o F.

Concept explainers

Videos

To find: The average temperature of town during the month of July having 31 days andtemperature T(t)=10sin(tπ31)+14sin(tπ31)+73oF. To explain: Why you see pattern like this?

Want to see the full answer?

Chapter 6 Solutions

To find: The average temperature of town during the month of July having 31 days andtemperature $T (t) = 10 s i n (\frac{t π}{31}) + 14 \sin (\frac{t π}{31}) + 73^{o} F$ .

To explain: Why you see pattern like this?