taras heart rate during a workout is modeled by the differentiable function h, where h(t) is measured in…

taras heart rate during a workout is modeled by the differentiable function h, where h(t) is measured in beats per minute and t is measured in minutes from the start of the workout. which of the following expressions gives taras average heart rate from t = 30 to t = 60? a ∫₃₀⁶⁰ h(t)dt b 1/30 ∫₃₀⁶⁰ h(t)dt c 1/30 ∫₃₀⁶⁰ h(t)dt

taras heart rate during a workout is modeled by the differentiable function h, where h(t) is measured in beats per minute and t is measured in minutes from the start of the workout. which of the following expressions gives taras average heart rate from t = 30 to t = 60? a ∫₃₀⁶⁰ h(t)dt b 1/30 ∫₃₀⁶⁰ h(t)dt c 1/30 ∫₃₀⁶⁰ h(t)dt

Answer

Explanation:

Step1: Recall average - value formula

The average value of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{1}{b - a}\int_{a}^{b}f(x)dx$.

Step2: Identify the function and interval

Here, the function is $h(t)$ (heart - rate function) and the interval is $[30,60]$, so $a = 30$, $b = 60$.

Step3: Calculate the average value

The average value of $h(t)$ over $[30,60]$ is $\frac{1}{60 - 30}\int_{30}^{60}h(t)dt=\frac{1}{30}\int_{30}^{60}h(t)dt$.

Answer:

B. $\frac{1}{30}\int_{30}^{60}h(t)dt$