## Related questions with answers

Question

Because a new employee must learn an assigned task, production will increase with time. Suppose that for the average new employee, the rate of performance is given by

$\frac{d N}{d t}=\frac{1}{2 \sqrt{t+1}}$

where $N$ is the number of units completed $t$ hours after beginning a new task. If $2$ units are completed after $3$ hours, how many units are completed after $8$ hours?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 8**a.**
Since we have rate of performance given, we know that rate is associated with derivative. To find the numbers of completed units we have to integrate the given rate.
That is, we have to calculate following integral

$\int \frac{1}{2\sqrt{t+1}} \ dt$

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