$\"\"$

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The oscillating current in an electrical circuit is $\"\"$ ,

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where $\"\"$ is measured in amperes and the time $\"\"$ is measured in seconds.

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(a) Find the average current for time interval $\"\"$ .

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Definition of the Avarage Value of a Function on an Interval:

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If $\"\"$ is integrable on the closed interval $\"\"$ then the average value of $\"\"$ on the interval is $\"\"$ .

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In this case $\"\"$ and $\"\"$ .

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The oscillating current in an electrical circuit is $\"\"$ .

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The average current for time interval $\"\"$ is $\"\"$ .

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$\"\"$ $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The average current for time interval $\"\"$ is $\"\"$ amperes.

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$\"\"$

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(b) Find the average current for time interval $\"\"$ .

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In this case $\"\"$ and $\"\"$ .

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The oscillating current in an electrical circuit is $\"\"$ .

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The average current for time interval $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ amperes.

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The average current for time interval $\"\"$ is $\"\"$ amperes.

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$\"\"$

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(c) Find the average current for time interval $\"\"$ .

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In this case $\"\"$ and $\"\"$ .

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The oscillating current in an electrical circuit is $\"\"$ .

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The average current for time interval $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ amperes.

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The average current for time interval $\"\"$ is $\"\"$ amperes.

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$\"\"$

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(a) The average current for time interval $\"\"$ is $\"\"$ amperes.

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(b) The average current for time interval $\"\"$ is $\"\"$ amperes.

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(c) The average current for time interval $\"\"$ is $\"\"$ amperes.