t 3 5 7 9 11 13
V(t) 0 30 23 19 12 6
A. What is the largest number of subdivisions that can be used to estimate the definite integral ∫3-13V(t)dt?
Answer: n=
To estimate the definite integral ∫3-13V(t)dt using the largest number of subdivisions, we need to find the number of subdivisions between the interval [3, 13].
The number of subdivisions refers to the number of smaller intervals we divide the interval [3, 13] into. Each interval will have a width of (13 - 3) / n, where n represents the number of subdivisions.
To find the largest number of subdivisions, we have to look at the given data points and determine the width of each interval. Looking at the t-values, we can see that the intervals are as follows:
[3, 5], [5, 7], [7, 9], [9, 11], [11, 13]
Therefore, the largest number of subdivisions can be obtained by finding the number of intervals between these values.
Counting the intervals, we find that there are 4 intervals between the given t-values. Therefore, n = 4.
So, the largest number of subdivisions that can be used to estimate the definite integral ∫3-13V(t)dt is n = 4.