The period T (in seconds) of a simple pendulum is a function of its length l (in

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The period T (in seconds) of a simple pendulum is a function of its length l (in feet) defined by the equation

where g ≈ 32.2 feet per second per second is the acceleration due to gravity.

(a) Use a graphing utility to graph the function T = T(l).

(b) Now graph the functions T = T( l + 1), T = T( l + 2), and T = T(l + 3).

(d) N ow graph the functions T = T(2l), T = T(3l), and T = T(4l).

(e) Discuss how multiplying the length l by factors of 2, 3, and 4 changes the period T.

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Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

ISBN: 9780137945139

5th Edition

Authors: Michael Sullivan

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Question Posted: Jun 25, 2023 12:17 AM

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The period T (in seconds) of a simple pendulum is a function of its length l (in

Question:

T = 2π, 11 g

Step by Step Answer:

a The graph the function T 2lg is The resulting graph has a smooth curve that starts at the origin a...View the full answer

Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

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