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Question #3: (4 pts per part) Show all steps to receive credit. (a) Suppose a particle...

Question #3: (4 pts per part) Show all steps to receive credit.

(a) Suppose a particle is moving along a straight line with velocity ??(??) = 2?? − 6 in meters per second. Find the total distance traveled by the particle from t = 1 to t = 6 seconds.

(b) Suppose a particle is moving along a straight line with velocity ??(??) = 2?? − 6 in meters per second. What is the average velocity of the particle between t = 1 and t = 6 seconds?

(c) A motor boat consumes gasoline at the rate of 5 − ??3 (in gallons per hour). How many gallons of gasoline are consumed by the motor boat in the first 4 hours?

*Please include work*

Math   Calculus   
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