1. a) Determine the first and second difference of the following function.FirstSecond DifferenceThird Differences Fourth DifferencesyDifference-324.5-2-112.540.53212.54b) Identify the type of functionc) Determine an equation for the function.323.

Introduction: A numerical strategy for interpolating a polynomial given a set of points is the…

Answered: 1. a) Determine the first and second…

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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Which function is represented in the table shown?
15. For each table below, select whether the data represents a function. If it does represent a function, determine if the function is increasing, decreasing or constant.A. {(3,164), (4,136), (5,100), (6,56), (7,4), (8,−56)}{(3,164), (4,136), (5,100), (6,56), (7,4), (8,-56)} Select an answer Increasing Decreasing Constant Not a Function B. {(3,36), (4,64), (5,100), (6,144), (7,196), (8,256)}{(3,36), (4,64), (5,100), (6,144), (7,196), (8,256)} Select an answer Increasing Decreasing Constant Not a Function C. {(3,−7), (4,−7), (5,−7), (6,−7), (7,−7), (8,−7)}{(3,-7), (4,-7), (5,-7), (6,-7), (7,-7), (8,-7)} Select an answer Increasing Decreasing Constant Not a Function D. {(3,23), (4,27), (5,31), (6,35), (4,39), (8,43)}{(3,23), (4,27), (5,31), (6,35), (4,39), (8,43)} Select an answer Increasing Decreasing Constant Not a Function
Classify the given functions according to whether they are power functions or polynomials. 1. Neither -5. 8x13 2. Power Function 27x3 125 3. Polynomial Function 4. Both 2* > > > > >
is the function even, odd, or neither ?
Micah purchased a house that was worth $223,000. The value of the house increased by 9% each year for the next 5 years. a. The value of the house at any given moment (during the first five years) is what percent of the value of the house exactly one year earlier? 1% Preview b. What number do we multiply the house's value by to determine the house's value one year later? Preview c. Write a function f that determines the value of the house (in thousands of dollars) in terms of the number of years t since Micah purchased the house. f(t) : Preview
a. Find a power function that models the data below. b. Find a linear function that models the data. c. Visually determine if each model is a good fit. x 4 5 7 9 y 6.7 8.7 13 17.1 a. The power function that best fits the data is yequals nothing . (Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.) b. The linear function that best fits the data is yequals nothing (Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.) c. Is each model a good fit? x y4 6.75 8.77 139 17.1
51. Classic Cars Sonia Orta invests in vintage automobiles. Three years ago, she purchased a 1953 Corvette roadster for $99,000. Two years ago, she purchased a 1929 Pierce-Arrow Model 125 for $55,000. A year ago she purchased a 1909 Cadillac Model Thirty for $65,000. ons olem a. Let x represent I plus the average rate of appreciation. Write a function in terms of x that models the value of the automobsies. b. If the automobiles appreciiate at an average annual rate of 15%, find the current value of the three automobiles.
R² is basically "/" means "divided by" O Variation due to lear function/Total variation O Variation due to linear function/Random variation O Total variation/Variation due to linear function O Random variation/Variation due to linear function
Help with all please.
Write a function that models the data.
10. Is the relationship between the variables in the table a direct variation, an inverse variation both, or neither? If it is a direct or inverse variation, write a function to model it. X 2 5 20 40 y 40 20 5 Oneither 20 Oinverse variation; y H X O direct variation; y = 20x direct variation; y = x + 15

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1. a) Determine the first and second difference of the following function. First Second Difference Third Differences Fourth Differences y Difference -3 24.5 -2 -1 12.5 32