4. The path of a baseball relative to the ground can be modelled by the function dlt) = – f² + 8t + 1, where dlt) represents the height of the ball in metres, and t represents time in seconds. a. Find the average rate of change of the ball between 1 and 3 seconds. b. Using the secant method, find the instantaneous rate of change at 2 seconds.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Related questions
Question

Solve 4. A) and B)

4. The path of a baseball relative to the ground can be modelled by the function
d(1) = – f² + 8t + 1, where d(t) represents the height of the ball in metres, and 1
represents time in seconds.
a. Find the average rate of change of the ball between 1 and 3 seconds.
b. Using the secant method, find the instantaneous rate of change at 2 seconds.
Transcribed Image Text:4. The path of a baseball relative to the ground can be modelled by the function d(1) = – f² + 8t + 1, where d(t) represents the height of the ball in metres, and 1 represents time in seconds. a. Find the average rate of change of the ball between 1 and 3 seconds. b. Using the secant method, find the instantaneous rate of change at 2 seconds.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning