To find: The exponential model for the charge.
The exponential model for the charge .
Use the online graphing calculator and obtain the graph of an exponential model for the charge as shown below in Figure 1.
The exponential model is (1)
From given table then substitute in equation (1),
Substitute and from given table in equation (1),
Take natural logarithm on both sides,
Substitute and in equation (1),
Therefore, the exponential model for the charge .
To estimate: The electric current when .
The electric current when is .
From part (a) the exponential model is .
Obtain the derivative .
Substitute in the above equation,
Therefore, the electric current at is .
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