number 1 only Tasks: Solve the following problems completely and accurately. Use the differentiation rules infinding the derivatives.Computational:(1) The concentration C of a certain chemical after t seconds of an autocatalytic reaction isgiven by C(t) = 10(9e-20t + 1)-1. Find C'(t) and verify that C'(t) > 0.(2) The number of people in a certain community who contracted a certain disease ismodeled by1000F(t)t2 + 1°Find F'(5).

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Answered: Computational: (1) The concentration C…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

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Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic reaction is given by C(t) = 10(9e-20t + 1)-1. Find C'(t) and verify that C'(t) > 0. %3D