2 The point P(4, -2) lies on the curve y = 3 - x find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (a) If Q is the point (x, (i) 3.9 mpQ = (ii) 3.99 m pQ (iii) 3.999 MPO = (iv) 3.9999 m PQ (v) 4.1 mPQ (vi) 4.01 MPQ = (vii) 4.001 m pQ = (viii) 4.0001 mPQ (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(4, –2). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(4, -2).

2 The point P(4, -2) lies on the curve y = 3 - x find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (a) If Q is the point (x, (i) 3.9 mpQ = (ii) 3.99 m pQ (iii) 3.999 MPO = (iv) 3.9999 m PQ (v) 4.1 mPQ (vi) 4.01 MPQ = (vii) 4.001 m pQ = (viii) 4.0001 mPQ (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(4, –2). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(4, -2).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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