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Explain why if a runner completes a 6.2-mi race in 36 min, then he must have been running at exactly 10 mi/hr at least twice
Explain why if a runner completes a 6.2-mi race in 36 min, then he must have been running at exactly 10 mi/hr at least twice in the race. Assume the runner's speed at the finish line is zero. Select the correct choice below and, if necessary, fill in any answer box to complete your choice. (Round to one decimal place as needed.) O A. The average speed is mi/hr. By the intermediate value theorem, the speed was exactly mi/hr at least twice. By MVT, all speeds between and mi/hr were reached. Because the initial and final speed was mi/hr, the speed of 10 mi/hr was reached at least twice in the race. O B. The average speed is mi/hr. By MVT, the speed was exactly mi/hr at least twice. By the intermediate value theorem, the speed between and mi/hr was constant. Therefore, the speed of 10 mi/hr was reached at least twice in the race. O C. The average speed is mi/hr. By MVT, the speed was exactly mi/hr at least once. By the intermediate value theorem, all speeds between and mi/hr were reached. Because the initial and final speed was mi/hr, the speed of 10 mi/hr was reached at least twice in the race.13 13 13 Without evaluating derivatives, which of the functions g(x) = x13 + 2, h(x) = 2x , or p(x) = x - In 2 have the same derivative as f(x) = x . E> Which functions have the same derivative as f(x) = x\"? Select all that apply. 5 A- 9(X)=x13+2 D 3' p(x)=x13- In 2 Cl 6- h(x)=2x13 l:| D. None of these functions have the same derivative
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