You have collected the following data:a-3.5-1 0.5b-26.25 20-0.25-8.75 161.5 3Assume variable a is the independent variable.a. Find the cubic function of best fit for the data.b. How well does a cubic function model the daťa?c. Find the coordinates of the relative minimum.Paragraphv BIU v

We are given a data. We need to find a cubic function which best fit the data. That means we need to…

Answered: You have collected the following 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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Sketch the graph of each function.
Please complete in handwriting. 1.6 - 9
Answer: A carpenter wants to make a rectangular bookcase like the one shown here. It should have a horizontal top, bottom, and middle shelf, and vertical back and two sides. The depth of the bookcase must be 1 ft, and its total volume must be 12 ft. a. Express the total surface area of the bookcase as a function of its height. Answer: b. What height and width of the bookcase will minimize its total surface area?
ACTIVITY 2. QUADRATIC FUNCTION A. Directione: Use the second difference test to determine if the given table of values is a quadratic function or not. 1. 2. 3. 12 3 10 8 6 16 17 18 19 27 64 102 66 38 18 y 80 77 72 65
What does the y-intercept of this function represent? 20 2) The Hurricane Hunters took the following measurements from a hurricane over several days as it developed: Air Pressure (kPa) Wind Speed (knots) 126 924 946 104 956 93.5 84.9 44.4 1,003 30.6
Oil imports Crude oil and petroleum products areimported continuously by the United States. Thetable shows the billions of dollars of net expendituresfor the imports of these products for several years.a. Write a linear function that models this data, withx equal to the number of years after 2015 and yequal to the billions of dollars of expenditures.Report the model with two decimal places.b. Is the model an exact fit for the data? c. What does the model predict the billions of dollars of net expenditures will be for the imports in2023?d. When does the model predict the billions of dollars of net expenditures for the imports will be208.2 $billion?
A.(1.9,-12.2) B.(-1.6,-5.1) C.(0,10) D.There is none.
Write an equation for the function graphed below FF I H 7 -7 -6 -5 -4 -3 -2 y = 1 7 7 7 7 4 -2 -3 -5+ 1 TESSSERIES 1 1 3 I 4 4 5 6 7 ISIES

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You have collected the following data: a-3.5 b-26.25 20-0.25-8.75 16 |-1 0.5 1.5 3 Assume variable a is the independent variable. a. Find the cubic function of best fit for the data. b. How well does a cubic function model the data? c. Find the coordinates of the relative minimum.