Explanation Given: Mr. R. enters the toll way at mile 0 at 12 : 17 P .M . and R. exited at mile 115 at 1 : 52 P .M . . Concept used: The mean value theorem: The mean value theorem states that if the function f is continuous on the interval [ a , b ] and differentiable on the interval ( a , b ) then a number c exists in the interval such that the slope at c can be expressed as follows: f ′ ( c ) = f ( b ) − f ( a ) b − a …… (1) Calculation: The total time taken by R. from 12 : 17 P .M . to 1 : 52 P .M . is 95 min . In an hour there are 60 minutes . 60 minute = 1 hour Convert 95 minute in to hours as shown below. 95 minute = 95 60 hours =1 .583 hours At 12 : 17 P

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Question

Chapter 4.3, Problem 63E

To determine

To explain:

The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.

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Chapter 4.3, Problem 62E

Chapter 4.3, Problem 64E

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A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 30 mi along the highway. When the car reached the location of the second officer 22 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit? Select the correct answer below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) A. The officer can conclude the driver exceeded the speed limit because, by the Extreme Value Theorem, at some time c, the car was travelling at a speed of miles per hour. B. The officer can conclude the driver exceeded the speed limit because, by the Mean Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O C. The officer can conclude. the driver exceeded the speed limit because, by Rolle's Theorem, at some time c, the…

3. At 1:00pm a truck driver picked up a fare card at the entrance of a tollway (like in the bad old days before EZPass). At 2:15pm, the trucker pulled up to a toll booth 100 miles down the road. After computing the trucker's fare, the toll booth operator summoned a highway patrol officer who issued a speeding ticket to the trucker. The speed limit of the tollway is 65mph. (a) The trucker claimed that he hadn't been speeding. Is this possible? Explain. (b) The fine for speeding is $35 plus $2 for each mph by which the speed limit is exceeded. What is the trucker's minimum fine?

Example 5: Two highway patrol cars are stationed 7 miles apart along a straight highway where the speed limit is 65 mph. The first patrol car clocks a white Ram 1500 at 64 mph, and five minute later, the second police car clocks it at 61.5 mph. Explain why the driver is pulled over and issued a ticket.

Chapter 4 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Prob. 63CRE Ch. 4 - Prob. 64CRE Ch. 4 - Prob. 65CRE Ch. 4 - Prob. 66CRE Ch. 4 - Prob. 67CRE Ch. 4 - Prob. 68CRE Ch. 4 - Prob. 69CRE Ch. 4 - Prob. 70CRE Ch. 4 - Prob. 71CRE Ch. 4 - Prob. 72CRE Ch. 4 - Prob. 73CRE Ch. 4 - Prob. 74CRE Ch. 4 - Prob. 75CRE Ch. 4 - Prob. 76CRE Ch. 4 - Prob. 77CRE Ch. 4 - Prob. 78CRE Ch. 4 - Prob. 79CRE Ch. 4 - Prob. 80CRE Ch. 4 - Prob. 81CRE Ch. 4 - Prob. 82CRE Ch. 4 - Prob. 83CRE Ch. 4 - Prob. 84CRE Ch. 4 - Prob. 85CRE Ch. 4 - Prob. 86CRE Ch. 4 - Prob. 87CRE Ch. 4 - Prob. 88CRE Ch. 4 - Prob. 89CRE

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The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.

Solution Summary: The author explains the use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70miles per hour at some point.

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To explain: The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.

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To explain:

The use of Mean Value Theorem that support the claim that Mr. R. must have gone more than 70 miles per hour at some point.