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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(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).
Transcribed Image Text:(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
Transcribed Image Text: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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