Question

During the time interval $0 \le t \le 35$, the rate at which people are entering a sports arena, in people per minute, can be modeled by the function $F(t) = 77 \sin(0.002t^2)$, where $t$ is measured in minutes. Assume that nobody leaves the arena during the time interval. What is the average rate of change of the function $F(t)$ from time $t = 0$ to time $t = 35$? You may use a calculator and round to the nearest thousandth. Indicate units of measure.

Name: During the time interval 0 ≤ t ≤ 35, the rate at which people are entering a sports arena, in people per minute, can be modeled by the function F(t) = 77 sin(0.002t^2), where t is measured in minutes. Assume that nobody leaves the arena during the time interval. What is the average rate of change of the function F(t) from time t = 0 to time t = 35? You may use a calculator and round to the nearest thousandth. Indicate units of measure.
Uploaded: 2024-03-05T18:03:09-08:00
Duration: 2 min 38 s
Channel: William Semus

          During the time interval $0 \le t \le 35$, the rate at which people are entering a sports arena, in people per minute, can be modeled by the function $F(t) = 77 \sin(0.002t^2)$, where $t$ is measured in minutes. Assume that nobody leaves the arena during the time interval. What is the average rate of change of the function $F(t)$ from time $t = 0$ to time $t = 35$? You may use a calculator and round to the nearest thousandth. Indicate units of measure.

During the time interval 0 ≤ t ≤ 35, the rate at which people are entering a sports arena, in people per minute, can be modeled by the function F(t) = 77 sin(0.002t^2), where t is measured in minutes. Assume that nobody leaves the arena during the time interval. What is the average rate of change of the function F(t) from time t = 0 to time t = 35? You may use a calculator and round to the nearest thousandth. Indicate units of measure.

Added by Joshua B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert William Semus

03/05/2024

Step 1

Step 1: To find the average rate of change of the function F(t) from t=0 to t=35, we need to calculate the average rate of change of F(t) over the interval [0,35]. Show more…

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During the time interval 0<=t<=35, the rate at which people are entering a sports arena, in people per minute, can be modeled by the function F(t)=77sin(0.002t^(2)), where t is measured in minutes. Assume that nobody leaves the arena during the time interval. What is the average rate of change of the function F(t) from time t=0 to time t=35 ? You may use a calculator and round to the nearest thousandth. Indicate units of measure. During the time interval0< t < 35,the rate at which people are entering a sports arena, in people per minute,can be modeled by the function F(t) = 77 sin(0.002t2), where t is measured in minutes.Assume that nobody leaves the arena during the time interval. What is the average rate of change of the function F(t) from time t = 0 to time t = 35?You may use a calculator and round to the nearest thousandth. Indicate units of measure.