122.54(centimeters)f(r)121018(milligrams per square centimeter)1. The density of a bacteria population in a circular petri dish at a distance r centimeters from the center of thedish is given by an increasing, differentiable function f, where f(r) is measured in milligrams per squarecentimeter. Values of f(r) for selected values of r are given in the table above.(a) Use the data in the table to estimate f'(2.25). Using correct units, interpret the meaning of your answerin the context of this problem.(b) The total mass, in milligrams, of bacteria in the petri dish is given by the integral expression2л| rf(r) dr. Approximate the value of 27rf(r) dr using a right Riemann sum with the foursubintervals indicated by the data in the table.(c) Is the approximation found in part (b) an overestimate or underestimate of the total mass of bacteria in thepetri dish? Explain your reasoning.(d) The density of bacteria in the petri dish, for1

Name: 122.54(centimeters)f(r)121018(milligrams per square centimeter)1. The
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Description: 122.54(centimeters)f(r)121018(milligrams per square centimeter)1. The density of a bacteria population in a circular petri dish at a distance r centimeters from the center of thedish is given by an increasing, differentiable function f, where f(r) i