Always show full working. Where possible give the exact answer. 1. A biochemist is testing the effect of a new antibiotic on a particular mould growing in a petri dish. Without the antibiotic the mould grows as a circular patch with the radius increasing with time according to r = 0.5t cm where t is measured in hours since the mould was introduced to the petri dish. The area of the mould is given by A Tr², the area of a disc of radius r. When the radius of the disc reaches 2cm the biochemist introduces the antibiotic. This causes the radius of the disc to reduce according to r = 2 - √t cm where t is measured in hours since the antibiotic was introduced. = (a) What was the time duration of the entire experiment (from the introduc- tion of the mould until its disappearance)?

Always show full working. Where possible give the exact answer. 1. A biochemist is testing the effect of a new antibiotic on a particular mould growing in a petri dish. Without the antibiotic the mould grows as a circular patch with the radius increasing with time according to r = 0.5t cm where t is measured in hours since the mould was introduced to the petri dish. The area of the mould is given by A Tr², the area of a disc of radius r. When the radius of the disc reaches 2cm the biochemist introduces the antibiotic. This causes the radius of the disc to reduce according to r = 2 - √t cm where t is measured in hours since the antibiotic was introduced. = (a) What was the time duration of the entire experiment (from the introduc- tion of the mould until its disappearance)?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterP: Prologue: Calculator Arithmetic

Section: Chapter Questions

Problem 18E: When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the...

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