The true statements are:
- The least positive value of t is 0.5
- The position of the pendulum when t = 4. 25 sec is 4.243 inches
The equation of the function is given as:
[tex]d = 6\cos(\pi t)[/tex]
Start by plotting the graph of the function [tex]d = 6\cos(\pi t)[/tex]
See attachment for the graph of the function.
How to calculate the least positive value of t
From the attached graph, the minimum positive value t can assume is 0.5
Hence, the least positive value of t is 0.5
The position of the pendulum at t = 4.25
We have:
[tex]d = 6\cos(\pi t)[/tex]
Substitute 4.25 for t
[tex]d = 6\cos(\pi \times 4.25)[/tex]
Evaluate the cosine ratio
[tex]d = 6\times 0.7071[/tex]
Multiply
[tex]d = 4.2426[/tex]
Approximate
[tex]d = 4.243[/tex]
Hence, the position of the pendulum when t = 4. 25 sec is 4.243 inches
Read more about cosine function at:
https://brainly.com/question/8120556
