When a constant voltage was applied to a certain motor initially at rest, its rotational speed s(t)

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When a constant voltage was applied to a certain motor initially at rest, its rotational speed s(t) versus time was measured. The data appear in the following table:

Time (sec) 1 3 4 5 7 8 10 Speed (rpm) | 1210 1866 2301 2564 2724 2881 2879 2915 3010


Determine whether the following function can describe the data. If so, find the values of the constants b and c.

s(t) = b(1 - ect)

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