Use natural cubic splines interpolation with the data given below, to calculate the fuel economy at aspeed of:(a) 30 mph (b) 65 mph.Speed (mph)Fuel economy (mpg)10254055701226283024 The fuel economy of a car (miles per gallon) varies with its speed. In an experiment, the followingfive measurements are obtained:Speed (mph)1025405570Fuel economy (mpg)1226283024Determine the fourth-order polynomial in the Lagrange form that passes through the points. Use the poly-nomial to calculate the fuel economy at 65 mph.

Answered: Image /qna-images/answer/7ee81f05-be9f-4686-bcb2-8eb2deda40c0.jpg

Answered: Use natural cubic splines interpolation…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Which of the following could most be considered an ordinal variable? a. Height (ft) b. Weight (kg) c. Body mass index (kg/m2) d. Education level e. Annual Income ($)
Kahuna's Credit Union conducted a survey as to how long customers claimed to wait in the checkout line until their turn. Let X = time in line. The table below displays the ordered real data (in minutes): 0.50 4.25 5 6 7.25 1.75 4.25 5.25 6 17.25 2 4.25 5.25 6.25 7.25 2.25 4.25 5.5 6.25 7.75 2.25 45 55 65 8 2.5 4.75 55 65 825 2.75 4.75 5.75 6.5 19.5 3.25 4.75 5.75 6.75 95 3.755 16 6.75 9.75 3.75 5 6 6.75 10.75 Calculate the sample mean and the sample standard deviation to the nearest hundreths.
The data below show the Fat and Calories in fast-food hamburgers. A model was created that can estimate the number of Calories in a burger when the Fat content is known. Complete parts a and b. Fat (g) Calories 18 30 34 35 39 39 43 415 580 595 565 640 675 665 a) Explain why you cannot use that model to estimate the fat content of a burger with 600 calories. Choose the correct answer below. A. The regression model was for predicting calories from fat, not the other way around. B. The regression model cannot extrapolate to the prediction value. C. The regression model was for predicting fat from calories, not the other way around. b) Using an appropriate model, estimate the fat content of a burger with 600 calories. Fat = x Calories + (Round to three decimal places as needed.) The fat content of a burger with 600 calories is grams. (Round to one decimal place as needed.)
Use a stem-and-leaf plot to display the data, which represent the thickness (in centimeters) of ice measured at 20 different locations on a frozen lake. Describe any patterns. 5 Determine the leaves in the stem-and-leaf plot below. Key: 313 3.3 Ice Thickness CO 5.8 6.2 6.9 7.2 5.1 4.9 4.7 5.8 7.0 6.8 8.2 7.5 7.2 5.8 7.2 8.0 7.9 6.9 5.9 4.9 7 ...
Tammy kept track of the shoe size of expectant mothers and the weights of their newborns. She recorded her data in the following scatterplot. 10 Baby Weight vs. Shoe Size y 13 12 11 10 5 6 7 8 9 10 1112 13 Mother's Shoe Size Which statement best describes the relationship shown in the scatterplot? There is no relationship between a mother's shoe size and the weight of her newborn. O G The weights of newborns were constant, but the shoe sizes of the mothers varied. OH The greater the shoe size of the mother, the lesser the weight of her newborn. The greater the shoe size of the mother, the greater the weight of her newborn. 1 2 3 8. 69 10 前Rev Baby's Weight (lb)
The total number t of items that a manufacturing company can produce is directly proportional to the number n of employees.
Practice E. Compute and interpret r. Age of car, in years Mileage, in km/liter 0.5 1 16 | 15 10 1.5 2 4 4.5 5 12 3 6 7 12 10 11 10 | 11 8
Which formula below best represents the sector area for the diagram below?
Use the Women's Earnings scatterplot below to answer the questions. Women's Earnings as a Percentage of Men's Earnings 90 80 70 60 50 y = 0.617x - 1156.3 40 R² = 0.9302 à 30 20 10 1979 1984 1989 1994 1999 2004 2009 Year What is the independent variable and what does it represent? Year Percentage Income in dollars CO2 Percentage
Assume that an r of .80 describes the relationship between daily food intake, mea-sured in ounces, and body weight, measured in pounds, for a group of adults. Would a shift in the units of measurement from ounces to grams and from pounds to kilograms change the value of r ? Justify your answer
What is the unit rate of change for the proportional relationship graphed below ?

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra

ISBN:

9780135163078

Author:

Michael Sullivan

Publisher:

PEARSON

Introduction to Linear Algebra, Fifth Edition

Algebra

ISBN:

9780980232776

Author:

Gilbert Strang

Publisher:

Wellesley-Cambridge Press

College Algebra (Collegiate Math)

Algebra

ISBN:

9780077836344

Author:

Julie Miller, Donna Gerken

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

Use natural cubic splines interpolation with the data given below, to calculate the fuel economy at a speed of: (a) 30 mph (b) 65 mph. Speed (mph) Fuel economy (mpg) 10 25 40 55 70 12 26 28 30 24