Explanation Given: Function C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6 Formula Used: Formulas of derivatives are as follows: d d x ( sin x ) = cos x d d x ( x n ) = n x n − 1 d d x { c . f ( x ) } = c . d d x f ( x ) d d t [ f ( g ( t ) ) ] = f ' ( g ( t ) ) ⋅ g ' ( t ) Calculation: Function is given as, C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6 Graph of the function is as follows: From the graph, we observe the function is a periodic function. Derivative of the above function is calculated as: d d t ( C ( t ) ) = d d t ( 3 To determine (b) To check which expression supports the claim for the increment of the concentration of Carbon Dioxide in the air between Dec 1,2006 and Dec 1,2010.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 3.5, Problem 31P

To determine

(a)

To check if the below function and its derivative is periodic or not:

C(t)=3.5sin(π6t)+381+t6

To determine

(b)

To check which expression supports the claim for the increment of the concentration of Carbon Dioxide in the air between Dec 1,2006 and Dec 1,2010.

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Chapter 3.5, Problem 30P

Chapter 3.5, Problem 32P

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Chapter 3 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To check if the below function and its derivative is periodic or not: C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6

Solution Summary: The author explains that the below function and its derivative are periodic as depicted in the graph.

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(a)

To check if the below function and its derivative is periodic or not:

C(t)=3.5sin(π6t)+381+t6

(b)

To check which expression supports the claim for the increment of the concentration of Carbon Dioxide in the air between Dec 1,2006 and Dec 1,2010.

Want to see the full answer?

Chapter 3 Solutions

(a) To check if the below function and its derivative is periodic or not: C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6

Solution Summary: The author explains that the below function and its derivative are periodic as depicted in the graph.

Videos

(a) To check if the below function and its derivative is periodic or not: C(t)=3.5sin(π6t)+381+t6

(b) To check which expression supports the claim for the increment of the concentration of Carbon Dioxide in the air between Dec 1,2006 and Dec 1,2010.

Want to see the full answer?

Chapter 3 Solutions

(a)

To check if the below function and its derivative is periodic or not:

C(t)=3.5sin(π6t)+381+t6

(b)

To check which expression supports the claim for the increment of the concentration of Carbon Dioxide in the air between Dec 1,2006 and Dec 1,2010.