8. The function f is given by the equation f(x) = (ar²+bx+c) e", where a, b and c are real constants. Find the value of these constants so that the point (0, 0) is on the graph of f and is an inflection point of this graph with y = x as the tangent line.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. The function f is given by the equation f(x) = (ar²+bx+c) e, where a, b and c are real constants.
Find the value of these constants so that the point (0,0) is on the graph of f and is an inflection point
of this graph with y = x as the tangent line.
Transcribed Image Text:8. The function f is given by the equation f(x) = (ar²+bx+c) e, where a, b and c are real constants. Find the value of these constants so that the point (0,0) is on the graph of f and is an inflection point of this graph with y = x as the tangent line.
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Could you explain/ expand how fx = ax^2 +  xe^x *f'x = ax^2 + xe ^x +2ax +1e^x please?

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