2024 AP Calculus AB/BC FRQ 1 Solution | Calculus 1 Exercises

We solve Free Response Question 1 from the 2024 AP Calc AB/BC exam. This problem concerns the temperatures of coffee in a cup, with info given in a table. We are asked to find Riemann sums, interpret integrals, and more. #apcalculus #calculus

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0:00 Part A
2:03 Part B
5:06 Part C
7:18 Part D
8:53 Conclusion

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[WrathofMath]

Should have a complete solutions video done by tomorrow.

[rospore]

I kind of disagree with part d. When I see the words, "The temperature of the coffee is changing", to me that means that either the temperature is increasing OR decreasing, doesn't matter which. So I interpret this as the absolute value of the first derivative, like speed not velocity. Since the second derivative is positive and the first derivative is negative, that means the rate of change of the temperature is approaching 0. Therefore I don't really think it would make sense to say "The temperature of the coffee is changing at an increasing rate", when the rate is literally approaching zero and getting slower and slower. If the temperature really was "changing at an increasing rate", then as time goes on you should expect to see larger changes in the temperature over the same time interval, which isn't happening in this case as instead, those changes in temperature are getting smaller and smaller.

[Mandq.]

is that intenrnational form? why its not the same as what i did...