3. The point P(2,-1) lies on the curve y=1/(1 - x).(a) If Q is the point (x, 1/(1- x)), use your caleulator to findthe slope of the secant line P0 (correct to sixX decimalplaces) for the following values of x(i) 1.5(v) 2.5(ii) 1.9(vi) 2.1(iv) 1.999(viii) 2.001(iii) 1.99(vii) 2.01 (b) Using the results of part (a), guess the value of the slopeof the tangent line to the curve at P(2.(c) Using the slope from part (b), find an equation of theLangent line to the curve a /(2,1).).

Answered: Image /qna-images/answer/a463be3e-9f10-487c-bcda-c7a02b94b9b7.jpg

3. The point P(2, -1) lies on the curve y- 1/(1 – x). (a) If Q is the point (x, 1/(I– x)), use your calculator to find the slope of the secant line PO (correct to six decimal places) for the following values of x: (i) 1.5 (iii) 1.99 (vii) 2.01 (iv) 1.999 (viii) 2.001 (ii) 1.9 (v) 2.5 (vi) 2.1

3. The point P(2, -1) lies on the curve y- 1/(1 – x). (a) If Q is the point (x, 1/(I– x)), use your calculator to find the slope of the secant line PO (correct to six decimal places) for the following values of x: (i) 1.5 (iii) 1.99 (vii) 2.01 (iv) 1.999 (viii) 2.001 (ii) 1.9 (v) 2.5 (vi) 2.1

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Question

3. The point P(2,-1) lies on the curve y=
1/(1 - x).
(a) If Q is the point (x, 1/(1- x)), use your caleulator to find
the slope of the secant line P0 (correct to sixX decimal
places) for the following values of x
(i) 1.5
(v) 2.5
(ii) 1.9
(vi) 2.1
(iv) 1.999
(viii) 2.001
(iii) 1.99
(vii) 2.01

(b) Using the results of part (a), guess the value of the slope
of the tangent line to the curve at P(2.
(c) Using the slope from part (b), find an equation of the
Langent line to the curve a /(2,
1).
).

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