The point P(4, 1) lies on the curve y = Vx - 3. (a) If Q is the point (x, Vx - 3), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (1) 3.5 0.585790 (H) 3.9 (iiI) 3.99 (iv) 3.999 (v) 4.5 (vi) 4.1 (vii) 4.01 (viii) 4.001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(4, 1). (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(4. 1).

The point P(4, 1) lies on the curve y = Vx - 3. (a) If Q is the point (x, Vx - 3), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (1) 3.5 0.585790 (H) 3.9 (iiI) 3.99 (iv) 3.999 (v) 4.5 (vi) 4.1 (vii) 4.01 (viii) 4.001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(4, 1). (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(4. 1).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 19E

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