How to Calculate Cattle Population Increase with Integration

In summary, the population of cattle is increasing at a rate of 200 + 10t per year, where t is measured in years. The increase between the 4th and 6th years is 20, and the total increase is 40. It is important to use both the right and left hand sides when using integration for a more accurate answer.
  • #1
MillerL7
14
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A population of cattle is increasing at a rate of 200 + 10t per year, where t is measured in years. By how much does the population increase between the 4th and 6th years. What is the total increase?

I tried doing integration and take it from the right hand site, but that was incorrect...please help me. thank you.
 
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  • #2
Can you show us what you did? Integration should have gotten you the right answer.
 
  • #3
MillerL7 said:
A population of cattle is increasing at a rate of 200 + 10t per year, where t is measured in years. By how much does the population increase between the 4th and 6th years. What is the total increase?

I tried doing integration and take it from the right hand site, but that was incorrect...please help me. thank you.

Sounds like you are doing this by hand. How many rectangles are you using or how many parts did you divide it into (the more parts the higher the accuracy). Also using only the right hand side will not get you an accurate answer, usually you take the right and left hand sides then average them to obtain a more accurate answer.
 

FAQ: How to Calculate Cattle Population Increase with Integration

What is integration?

Integration is a mathematical concept that involves finding the area under a curve. It is used to solve problems related to finding the total amount or accumulation of a quantity over a given interval.

Why is integration important?

Integration is important because it has many real-world applications. It is used in fields such as physics, engineering, economics, and statistics to solve problems related to rates of change, optimization, and accumulation.

What are the different types of integration?

There are two main types of integration: definite and indefinite. Definite integration involves finding the exact value of an integral over a specific interval, while indefinite integration involves finding a general solution to an integral without any specific limits.

How do you solve an integration problem?

To solve an integration problem, you need to use integration techniques such as substitution, integration by parts, or partial fractions. It is important to understand the fundamental concepts and properties of integration before attempting to solve any integration problem.

What are common mistakes to avoid when integrating?

Common mistakes to avoid when integrating include forgetting to include the constant of integration, making careless errors in algebraic manipulation, and not checking the final answer for correctness. It is also important to be familiar with the basic rules of integration and to double-check the limits of integration when solving definite integrals.

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