Find the linearization of the function f(x) =L(x) =IFind the true values of f (x) and the approximations using L (2) below. Round all of your answers to 3 decimal places. You can use a calculator,spreadsheet, browser, etc. to calculate the exact values.-1.1-1.01-1.001The exact value f (1)NumberNumber14x+3Numberat z = -1.The approximate value L (1)NumberNumberNumber

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Answered: Find the linearization of the function…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The population of a Ukrainian village is currently 500. Based on the observed growth of the population in past years it is estimated that after 1 year the population will be 600. Similarly, it is estimated that after 2 and 3 years, the population of the village will be 720 and 864 respectively.Which function describes the relationship between year and the village population?
Let f (-1) = O =- and f (2) = 112. Enter the exact answers. (a) Find a possible formula for f if f is linear. f (x) = 113.75xe115.5 Edit (b) Find a possible formula for f if f is exponential. f (x) = 7x4 Edit
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
An investment appreciates 2% per year. Originally $5000 is invested. What is an equation for the years since the money is invested as a function of the investment's worth? Ot = log(F/5000)/log(0.02 t = log(F/5000)/log(1.02) Ot = log(F/5000)/log(0.98) t = log(F/5000)/log(-1.02)
A =
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
A population of amoebas in a petri dish will triple in size every hour. At the start of an experiment the population is 800. The function , where x is the number of hours, models the population growth. How many amoebas are in the petri dish after 9 hours?
Question 6 of 16 Ali, the CEO of a manufacturing company, decided to expand the product offering of his business to include the manufacture of a specific model automotive unit. To include this product, his business would incur fixed costs of $365,000 per year and variable costs of $6 per unit. He plans to sell each unit for $88. a. Calculate the number of units he would have to manufacture to break even. Round up to the next whole number b. While manufacturing the unit, he realized that an additional fixed cost of $3,000 per year was required, and also realized that to be more competitive in the market he had to drop the selling price by 20%. What is the new break-even volume? Round up to the next whole number

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