The point P(9, -4) lies on the curve y = 4/(8 − x).(a) If Q is the point (x, 4/(8 − x)), use your calculator to find the slope mpo of the secant line PQ (correct to six decimal places) for the following values of x.-(i) 8.9mpQ =(ii) 8.99mpQ =(iii) 8.999mpQ(iv) 8.9999mpq=(v) 9.1mpQ ==(vi) 9.01mpQ(vii)mpQ(viii)=9.001=mpq==9.0001(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(9, −4).m =(c) Using the slope from part (b), find an equation of the tangent line to the curve at P(9, −4).

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Answered: The point P(9, -4) lies on the curve y…

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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