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QUESTION

) Consider the function f(t) = 100(1 −e^-3t). f(t)= percentage of people who have heard a rumour in t months, when will 90% of people have heard the rumour?2) The function C(t) = 50(e^−2t -e^−3t

) Consider the function f(t) = 100(1 −e^-3t). f(t)= percentage of people who have heard a rumour in t months, when will 90% of people have heard the rumour?

2) The function C(t) = 50(e^−2t -e^−3t) is−used to model the concentration at time t of a drug injected into the bloodstream. a. Find C ’(t) and explain what it represents.

b. Give the intervals on which C is increasing and on which C is decreasing.

c. On which interval(s) is C concave up and on which interval(s) is it concave down?

Please focus on question 6. the first question I just need to know do you plug in 0.90= and do you use the derivative? and how do you isolate for t? 

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