Arc Length Calculation with TI-89

This tutorial demonstrates how to calculate the arc length of a function using a TI-89 graphing calculator. It covers three methods: using the home screen, the graphing screen, and the arc length formula. Each method is explained step-by-step, including how to input the function and adjust settings for accurate results. The tutorial provides both exact and approximate values for the arc length over a specified interval.

What is the primary focus of this tutorial?

• Solving equations with TI-89

• Graphing functions on TI-89

• Determining arc length using TI-89

• Calculating derivatives using TI-89

Which menu option is used to find arc length from the home screen?

• F1

• F2

• F4

• F3

What is the function used in the home screen method for arc length calculation?

• y = 3x^(1/2)

• y = x^3

• y = 4x^(3/2)

• y = 2x^2

How do you obtain a decimal approximation of the arc length on the home screen?

• Press F4

• Press F2

• Press F1

• Press Diamond Enter

What is the first step in finding arc length from the graphing screen?

• Adjust the window settings

• Graph the function

• Press F5 for math

• Enter the limits of integration

Which option is selected for arc length in the graphing screen method?

• Option C

• Option A

• Option B

• Option D

What is the approximate arc length found using the graphing screen method?

• 15.6789

• 18.4567

• 20.7837

• 22.3456

Which function is used in the arc length formula method?

• y = 3x^(1/2)

• y = x^3

• y = 2x^2

• y = 4x^(3/2)

What is the purpose of using the integration formula in the arc length formula method?

• To calculate the exact arc length

• To find the derivative

• To solve equations

• To graph the function

What is the final approximate arc length obtained using the arc length formula method?

• 15.6789

• 18.4567

• 20.7837

• 22.3456