Practice Problems (1) Consider two athletes running at variable speeds v(t) and v2(t). The runners start...

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Practice Problems (1) Consider two athletes running at variable speeds v(t) and v2(t). The runners start and finish a race at exactly the same time. Explain why the two runners must be going the same speed at some point. (2) Use the fundamental theorem of calculus to compute the following derivative: 1 d 1 - t2dt dx cos(x) Practice Problems (1) Consider two athletes running at variable speeds v(t) and v2(t). The runners start and finish a race at exactly the same time. Explain why the two runners must be going the same speed at some point. (2) Use the fundamental theorem of calculus to compute the following derivative: 1 d 1 - t2dt dx cos(x)