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Home » Set \(u = \sin\phi\), then: - Sourci

Set \(u = \sin\phi\), then: - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 2**Question:

📌 An elementary school student is curious about how heartbeats can be modeled mathematically. They learn that a healthy adult heart beats about 70 times per minute. If the heart rate decreases by 5 beats per minute every hour due to tiredness, how many total heartbeats occur in 6 hours?

📌 We start with the initial heart rate of 70 beats per minute. The heart rate decreases by 5 beats per minute each hour, so we can express the heart rate at the \(n\)-th hour as:

📌 \[ h_n = 70 - 5(n-1) \]

📌 where \(n\) ranges from 1 to 6.

📌 The total number of heartbeats in 6 hours is the sum of the beats each minute over those hours. Each hour has 60 minutes, so the total heartbeats for hour \(n\) is:

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