2.11. Let f(x) be a cubic function (polynomial of degree three). Find f(x), given that f(1) = f'(1) = 2, f(-1) = -2, and f'(-1) = 6. Hint: Find the system of linear equations that the coefficients of the polynomial must satisfy and use Gaussian elimination

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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2.11. Let f(x) be a cubic function (polynomial of degree three). Find f(x),
given that
f(1) = f'(1) = 2, f(-1) = -2, and f'(-1) = 6.
Hint: Find the system of linear equations that the coefficients of the polynomial
must satisfy and use Gaussian elimination,
Transcribed Image Text:2.11. Let f(x) be a cubic function (polynomial of degree three). Find f(x), given that f(1) = f'(1) = 2, f(-1) = -2, and f'(-1) = 6. Hint: Find the system of linear equations that the coefficients of the polynomial must satisfy and use Gaussian elimination,
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