Saturday, February 7, 2026

Calculus I + Writing

My hands held the metal of the door, but my eyes looked straight ahead to the indigo sky without stars. The light pollution wreathed the sky, making it impossible for the stars to shine their way through. 

Nevertheless, it was a beautiful campus. The paths were illuminated by the intermittent glow of the street light, surrounded by flourishing grass kissed with the sweet, brisk air of early Spring. I imagined myself sitting on the outskirts of campus indulging in a read before class. Better yet, I thought of a lonely walk around the baseball fields with a hand in my pocket, hearing the crunching of the granular dirt in the infield. A twinge of jealousy and longing spread throughout my mind. How I wished I could've had even a sliver of this environment. Something inside me knew it would have made me less cynical of the entire experience. I brushed it off when I remembered how little time I had left...

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 EXPLAIN WHY THE MVT WOULD NOT HOLD FOR THE FUNCTION f(x) = x^2/3 ON THE INTERVAL (-1,1) 

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