Linearize f(x)=√√4-x for a = 3 and use it to approximate the value of √1.6.L(x) =The approximated value of √1.6 is.(Round to two decimal places as needed.)

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Answered: Linearize f(x) = √√4 −x for a=3 and use…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The number of students in a school who are infected with the flu is given by the function 2300 F (d) = 1+142e-0.5d where d is the number of days after the first infection is recorded. Find the instantaneous rate of change of the number of infected students 12 days after the initial infection. (Round off answers up to 2 decimal places, if necessary.)
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The amount of growth of plants in an ungrazed pasture is a function of the amount of plant biomass already present and the amount of rainfall.t For a pasture in the arid zone of Australia, the following formula gives an approximation of the growth. Y = -55.12 - 0.01535N - 0.00056N? + 3.946R Here Ris the amount of rainfall, in millimeters, over a 3-month period, Nis the plant biomass, in kilograms per hectare, at the beginning of that period, and Y is the growth, in kilograms per hectare, of the biomass over that period. (For comparison, 100 millimeters is about 3.9 inches, and 100 kilograms per hectare is about 89 pounds per acre.) Now we consider the amount of growth Y as a function of the amount of plant biomass N already present. (a) First we assume that the rainfall is 80 millimeters, so R = 80. (1) Find a formula for the growth Y as a function of the amount N of plant biomass already present. kg/ha (ii) Make a graph of Y versus N. Include biomass levels N from 0 to 800 kilograms…
Express your answer in decimal. Round off to 2 decimal places.
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Linearize f(x) = √√4 −x for a=3 and use it to approximate the value of √1.6. L(x)= The approximated value of √1.6 is. (Round to two decimal places as needed.)