Question: [10 marks] 1. (5 marks) (5 marks) Consider the function f(t) = 100(1 e3t). a. Find an equation of the tangent line at t

$[10 marks] I. Consider the funetiont) = l e'\$

[10 marks] I. Consider the funetiont) = l e'\"). {5 marks) a. Find an equation of the tangent line at t = 1. Give exact values. {5 marks} 12:. If f represents the percentage of people who have heard a rumour in t months, when will 90% of people have heard the rumour

[10 marks] 1. (5 marks) (5 marks) Consider the function f(t) = 100(1 e3t). a. Find an equation of the tangent line at t = 1. Give exact values. b. If f represents the percentage of people who have heard a rumour in t months, when will 90% of people have heard the rumour?

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