After use of an experimental insecticide, the rate of decline of an insect population is where t

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After use of an experimental insecticide, the rate of decline of an insect population is

where t is the number of hours after the insecticide is applied. Assume that there were 50 insects initially.
(a) How many are left after 24 hours?
(b) How long will it take for the entire population to die?

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