The total charge that has entered a circuit element is q(t) = 6 (1 - e-7t) when t ≥ 0 and q(t) = 0 when t < 0. the current in the element for t ≥ 0 can be represented as i left-parenthesis t right-parenthesis equals upper b e superscript negative a t a where b and a are real constants. determine the values of b and a.

Step-by-step explanation:

The current function of time is defined as follows:

where is the charge function.

For the given charge function of time we have the following current function:

In the problem it is proposed that .

Examining the expression of we obtained by deriving with the expression proposed by the problem and comparing term by term:

We conclude that and .

people went from manufacturing one object at a time by hand to manufacturing many objects in factories