Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and the slope of the tangent line there is −3. (a). 1 (b.) 2 (c.) -6 (d.) 3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of
inflection of the graph of f and the slope of the tangent line there is −3.
(a). 1
(b.) 2
(c.) -6
(d.) 3
Transcribed Image Text:Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and the slope of the tangent line there is −3. (a). 1 (b.) 2 (c.) -6 (d.) 3
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