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Q81.

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Precalculus Mathematics for Calculus

Found in: Page 418

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

After the switch is closed in the circuit shown, the current $t$ seconds later is $I (t) = 0.8 e^{- 3 t} \sin 10 t$ . Find the current at the times,
(a). $t = 0.1 s$
(b). $t = 0.5 s$

The value of the function at $t = 0.1$ and $t = 0.5$ is $0.49870$ and $- 0.20906$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information.

The given function is $I (t) = 0.8 e^{- 3 t} \sin 10 t$ .

Step 2: Calculation.

Consider the given information.

Substitute 0.1 for $t$ in the given function.

$I (0.1) = 0.8 e^{- 3 (0.1)} \sin 10 (0.1) = 0.8 e^{- 0.3} \sin 1 = 0.49870$

Substitute 0.5 for $t$ in the given function.

$I (0.5) = 0.8 e^{- 3 (0.5)} \sin 10 (0.5) = 0.8 e^{- 1.3} \sin 5 = - 0.20906$

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