I need help with the following problem. Could anyone explain how to do it? (b) Using the results of part (a), guess the value of the slopeof the tangent line to the curve at P(2, – 1).(c) Using the slope from part (b), find an equation of thetangent line to the curve at P(2, –1). 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 calculator to findthe slope of the secant line PQ (correct to six decimalplaces) for the following values of x:(i) 1.5(v) 2.5(iii) 1.99(ii) 1.9(vi) 2.1(iv) 1.999(vii) 2.01(viii) 2.001

Answered: Image /qna-images/answer/fed67e44-e323-428f-bbeb-9972d61cd2cf.jpg

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

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

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

I need help with the following problem. Could anyone explain how to do it?

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

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 calculator to find
the slope of the secant line PQ (correct to six decimal
places) for the following values of x:
(i) 1.5
(v) 2.5
(iii) 1.99
(ii) 1.9
(vi) 2.1
(iv) 1.999
(vii) 2.01
(viii) 2.001

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