Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.

Question

19-04-2022
Mathematics

contestada

Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.

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MrRoyal MrRoyal · Answer 1 · 2022-05-02T16:59:34+02:00

The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24

The graph of the function

The function is given as:

y = 6cos(πt)

See attachment for the graph of the function

The least positive value of t

The value of t is given as: -0.5

From the attached graph, the smallest value of the function when t = -0.5 is 0.

Hence, the least value of the function at which the pendulum is in the center is 0.

The position of the pendulum when t = 4.25 sec.

We have:

y = 6cos(πt)

Substitute 4.25 for t

y = 6cos(4.25π)

Evaluate

y = 4.24

Hence, the position of the pendulum when t = 4.25 sec. is 4.24

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