Worksheet 7 .pdf - Math 213 Worksheet 7 Section Name...

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Math 213 Worksheet 7 Name: Section : Problem 1: Differentiate each function: 1) f(x) = 𝑒 𝑥+1 2) f(x)= 2x 5 - 3 𝑒 6𝑥 3) f(x) =x 2 𝑒 𝑥 - ½ 𝑒 4) f(x) = ln(8𝑥 − 3) 5) f(x) = ln 2𝑥−3 6) f(x) = x 2 ln 𝑥 Problem 2: A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant " 𝑥 𝑥 𝑥

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