b) The following incomplete y versus x data is given. X 1 2 6 7 5 11 ??? ??? 32 15 The data is fit by quadratic spline interpolants given by ax-1. 1≤x≤2 2≤x≤4 f(x) = -2x² +14x-9, bx² + cx + d. 4≤x≤6 25x²-303x+928, 6≤x≤7 Determine the missing entries in the table and the coefficients, a, b, c, and d of these quadratic splines. 17

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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b) The following incomplete y versus x data is given.
2
4.
7
6.
???
15
5
11
2??
32
The data is fit by quadratic spline interpolants given by
ax -1,
-2x? + 14x – 9,
1sxs2
f(x) =
bx2 + cx + d,
25x2-303x + 928, 6SxS7
Determine the missing entries in the table and the coefficients, a, b. c, and d of these
quadratic splines.
Transcribed Image Text:b) The following incomplete y versus x data is given. 2 4. 7 6. ??? 15 5 11 2?? 32 The data is fit by quadratic spline interpolants given by ax -1, -2x? + 14x – 9, 1sxs2 f(x) = bx2 + cx + d, 25x2-303x + 928, 6SxS7 Determine the missing entries in the table and the coefficients, a, b. c, and d of these quadratic splines.
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