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Descartes described a modified method of tangents in a June 1638 letter to Hardy. We might describe his method as follows: Let our graph be that of y = f(x). To make the line y = m(x - xo) + yo tangent to the graph of y= f(x) at(xo, yo), find m so the system of equations has a repeated root at x = 20. E A B C F y = x² at at x =a. Use Descartes's method to find the slope of the tangent line to y =

Descartes described a modified method of tangents in a June 1638 letter to Hardy. We might describe his method as follows: Let our graph be that of y = f(x). To make the line y = m(x - xo) + yo tangent to the graph of y= f(x) at(xo, yo), find m so the system of equations has a repeated root at x = 20. E A B C F y = x² at at x =a. Use Descartes's method to find the slope of the tangent line to y =

Advanced Engineering Mathematics
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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Descartes described a modified method of tangents in a June 1638 letter to Hardy. We might describe his method as follows: Let our graph be that of y = f(x). To make the line y = m(x - xo) + yo tangent to the graph of y= f(x) at(xo, yo), find m so the system of equations has a repeated root at x = xo. E A B C F Use Descartes's method to find the slope of the tangent line to y = x² at x = a
Transcribed Image Text:Descartes described a modified method of tangents in a June 1638 letter to Hardy. We might describe his method as follows: Let our graph be that of y = f(x). To make the line y = m(x - xo) + yo tangent to the graph of y= f(x) at(xo, yo), find m so the system of equations has a repeated root at x = xo. E A B C F Use Descartes's method to find the slope of the tangent line to y = x² at x = a
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