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Precalculus Mathematics for Calculus
Found in: Page 418
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

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 It=0.8e3tsin10t. 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

Step 1: Given information.

The given function is It=0.8e3tsin10t.

Step 2: Calculation.

Consider the given information.

Substitute 0.1 for t in the given function.

I0.1=0.8e30.1sin100.1 =0.8e0.3sin1 =0.49870

Substitute 0.5 for t in the given function.

I0.5=0.8e30.5sin100.5 =0.8e1.3sin5 =0.20906

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