At x = 5, explain whether f has a local extremum using the 1st Derivative Test.
ID: 3110899 • Letter: A
Question
At x = 5, explain whether f has a local extremum using the 1st Derivative Test. At x = 5, explain whether f has a local extremum using the 2nd Derivative Test. Speed detection systems are used in the UK which utilize the time it takes a car to travel between two or more cameras along a fixed route. Along a particular stretch of a highway with a speed limit of 100km/h there are two cameras set 20 kilometers apart. Based on the information given, explain what can be said about each car, in relation speeding, for a car that takes: 10 minutes to travel between the cameras 15 minutes to travel between the cameras In financial mathematics, investors use utility functions to compare the "joy" of earning money on an investment to the "pain" of losing money on the same investment. Suppose that an investor using the utility u = ln x has exist2000 and trying to determine how much of this amount to invest in a stock (i.e., exist2000x where 0 lessthanorequalto x lessthanorequalto 1). Assuming that when exist2000x is invested there is a 25% chance it triples in value and a 75% chance that half the investment is lost, then the expected utility can be shown to be:Explanation / Answer
A- distance travelled =20km
Time taken =10 min =1/6 hrs
Average speed = distance travelled/ time taken
=20/(1/6)=20*6=120 km/hr
Which is clearly a case of over speeding.....
B- distance travelled =20 km
Time taken =15 mins =15/60=1/4 hrs
Average speed = 20/(1/4)=20*4=80km/hr
Hence the car is travelling under the limit of speeding.
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