# People are entering a zoo at the rate of 100e^t+75t people per hour where t is the amount of time...

## Question:

People are entering a zoo at the rate of {eq}100e^t+75t {/eq} people per hour where t is the amount of time the zoo has been open on that day measured in hours. If the doors are open at 9:00 AM, how many hundreds of people have entered the zoo at 11:40 AM? (Nearest integer)

## Rate of Change and Total Change

The derivative of a function represents its rate of change. If we want to use this derivative to find the value of a function, we need to integrate it. This will allow us to find the change in a function over an interval.

## Answer and Explanation: 1

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View this answerTo find the amount of people that entered this zoo over this time period, we need to integrate this function over that many hours. The bounds of this...

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Chapter 12 / Lesson 10The fundamental theorem of calculus is one of the most important points to understand in mathematics. Learn to define the formula of the fundamental theorem of calculus and explore examples of it put into practice.