AP Calc 1

AP Calc 1
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  • Farsheed the fisherman was taking a midnight stroll down Budd Lake with his puppy, Wyatt. He spotted a comfortable bench by the shore, a perfect view of the water glistening from the moon.
  • “Wyatt, look at all those fish in the water! I wonder where they’re coming from? "
  • Whipping out his handy dandy calculator from his back jean pocket, he quickly plugged in the integral from time 0 to the time he leaves, 5 of the function.
  • "It looks like they keep adding at a rate of 20+15sin(pit/6). I wish we could stay here and watch, but I have to get ready at 5
  • But Wyatt wasn’t paying attention to Farsheed. He saw a shark looming in the distance, devouring large gulps of fish.
  • "Look at that! It looks like there are 153 fish in there"
  • Wyatt looked worried. How many fish would he be able to eat each hour if the shark keeps eating them every hour also?
  • "It looks like that shark is eating the fish at a rate of 4+2^(0.1t^2)?”
  • Whipping out his handy dandy calculator again, he plugged in the integral over the 5-hour period, taking the average this time.
  • “Don’t fret Wyatt! We can find out the average number of fish that leave each hour!”
  •  Wyatt was so hungry, but he knew the shark would eat him too if he went in there. Hopefully Farhseed could feed him when they get home.
  •  “Looks like there’s about 6.059 fish that get eaten per hour, Wyatt!”
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