One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data andwhich table shows the quadratic data, and find a formula for each model.Table A123f(x) 6132439Table B0 12 3g(x) 6 13 20 27 34linear function9(x)quadratic function1(x)

Consider the table A, find the divide difference for the table. x f(x) First divide difference…

Answered: One of the two tables below shows data…

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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Alice has a peach orchard. She knows from past experience that the number of kilograms of peaches produced per tree is a linear function of the number of trees in the orchard. If she has 100 trees, the trees will produce 77 kg of peaches per tree. Reducing the number of trees by 10 will increase the kilograms produced per tree by 7. What is the maximum possible total number of kilograms of peaches her orchard can produce?
The following table shows the crude steel production in the USA, in millions of metric tons. Year Crude Steel Production 1980 0 1985 5 1989 9 80 90 92 (A) Find a quadratic function f(x) = ax²+bx+c that fits the data, where x represents the number of years after 1980. f(x)= x² +2.833x + 80.
A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t. What is the maximum height of the penny above the ground?
There were 280,700 graphic designer jobs in a country in 2010. It has been projected that there will be 315,500 graphic designer jobs in 2020. (a) Using the data, find the number of graphic designer jobs as a linear function of the year. N(t) = = 3480t + 280700 X (b) Using your model, in what year will the number of graphic designer jobs first exceed 300,000? 2015
Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = X² X + 3 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) y² + 2Y + 9 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 5,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min s.t. = X, Y Z 0 = 5 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal…
A small bicycle manufacturer has daily fixed costs of $1958 and each bicycle costs $78 to manufacture. Let x represent the number of bicycles manufactured and C(x) represents the cost of manufacturing. Complete parts (a) through (c). www. (a) Write a linear function that models this situation. C(x) = (b) Find C(6). Interpret your answer in the context of this problem. C(6)=. This means that the cost of manufacturing bicycles in a day is $ A (c) Find the value of x if C(x) = 2738. Express this situation using function notation, and interpret it in the context of this problem. when C(x) = 2738. This means that the cost of manufacturing bicycles in a day is $
The purpose of this analysis is to model available atmospheric carbon dioxide data with a quadratic function of the form f(x) = ax2 + bx + x. In the space below, type the model quadratic function for the relationship between year and mean carbon dioxide levels in standard mathematical form using the coefficients calculated on the spreadsheet. Using the model equation, determine the mean atmospheric carbon dioxide levels in the year 2030. Using the model equation, determine the mean atmospheric carbon dioxide levels in the year 2050. What other factors might need to be taken into account to provide a more robust model to make predictions regarding future atmospheric carbon dioxide levels?

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