Question

Mean Value theorem -please also do bonus section

(4) A racer is running back and forth along the same straight path. She finishes the race at the same place she began. Was there a moment during the race (not at the beginning or the end) when her speed 0? Justify your answer. Hint: You can either use the Mean Value theorem or the Intermediate Value Theorem to do this problem! Totally Cool! was BONUS Two racers in a road race finish in a tie. Which of the following must be true? Again, justify your answer with theorems from this class. (a) At some point during the race the two runners were NOT tied. гасе (b) The runners' speeds at the end of the race must have been exactly the same (c) There was a moment in the race where the runners had exactly the same speed at that moment (d) The runners had the same at different times instantaneous velocity but possibly

Answer 1

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