my calculus exam #2 (100 pts get a Cheesecake Factory gift card)

TL;DR

Learn how to maximize extra credit points on exams by strategically choosing your score, using calculus concepts.

Transcript

if you can get 100 on exam 2 then you get one of this you can do it good luck and just to make this super super fun maybe not for the students but rather for myself i'm going to add an extra multiple choice question to my calculator test so that the total is going to be 104 points for my calculated test and 105 points for my tattoo test they have t... Read More

Key Insights

• 💯 The extra credit policy adds 5 additional points to exam scores, but the amount of extra credit decreases as your score increases.
• 💯 Lower original scores result in a larger increase in extra credit points compared to higher original scores.
• 💯 Calculus concepts, such as finding the maximum using derivatives, can be applied to determine the best score to maximize extra credit points.
• 💯 A score of 25 yields the maximum additional points of 25.
• 💯 Higher scores, such as 36, result in smaller additional points, such as 24, showcasing the diminishing returns of aiming for higher scores.
• 💯 Scoring a perfect 100 does not yield any extra credit points under this policy.
• 😥 Scoring zero points also does not result in any extra credit points.

Questions & Answers

Q: How does the instructor determine extra credit points based on exam scores?

The instructor adds a maximum of 5 extra credit points to your exam score, based on a specific formula involving the square root of your score.

Q: Is it better to aim for a higher or lower score for maximum extra credit points?

It is better to aim for a lower score, as the increase in extra credit points is more significant for lower scores compared to higher scores.

Q: How can calculus concepts be applied to maximize extra credit points?

Calculus can be used to find the maximum by taking the derivative of the function, setting it equal to zero, and identifying the critical number. Testing this critical number allows us to determine if it yields a maximum or minimum.

Q: What is the score that will give the maximum additional points?

The analysis shows that a score of 25 will result in the maximum additional points, providing an additional 25 points to the original score.

Summary & Key Takeaways

• The instructor offers extra points on tests depending on your score, with a maximum of 5 additional points available.

• Lower scores result in a larger increase in points, while higher scores yield fewer additional points.

• By using calculus, you can find the best score to aim for, which will grant you the maximum extra credit points.