Suppose the current in a conductor decreases exponentially with time according t

Question

Suppose the current in a conductor decreases exponentially with time according to the equation I(t) = I0e-t/?, where I0 is the initial current (at t = 0), and ? is a constant having dimensions of time. Consider a fixed observation point within the conductor. (Use the following as necessary: I0 and ?) (a) How much charge passes this point between t = 0 and t = ?? (If applicable, round any coefficients to 3 decimal places.)
Q(?) =

(b) How much charge passes this point between t = 0 and t = 10?? (If applicable, round any coefficients to 5 decimal places.)
Q(10?) =

(c) How much charge passes this point between t = 0 and t = ?? (If applicable, round any coefficients to 3 decimal places.)
Q(?) =

Explanation / Answer

(a) How much charge passes this point between t = 0 and t = ?? (If applicable, round any coefficients to 3 decimal places.)
Q(?) =61

(b) How much charge passes this point between t = 0 and t = 10?? (If applicable, round any coefficients to 5 decimal places.)
Q(10?) =64

(c) How much charge passes this point between t = 0 and t = ?? (If applicable, round any coefficients to 3 decimal places.)
Q(?) =71

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