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1. Two cars are moving on a road and both start at the same place at...

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Basic Math

1. Two cars are moving on a road and both start at the sameplace at time ?=0. The velocity of car number 1 is given by?1(?)=sin?+1 and the velocity of car number 2 is given by?2(?)=cos?+1.

a. Which car is ahead at ?=?2 ,?=?,?=3?? [3 marks] b. Write downa definite integral which gives the total distance traveled by carnumber 1 from ?=0 to ?=10. [3 marks]

b. Write down a definite integral which gives the total distancetraveled by car number 1 from ?=0 to ?=10. [3 marks]

c. Are the cars ever at the same place on the road at the sametime? If so, at what times? [3 marks]

d. What is the maximum distance between the cars? [3 marks]

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