The point P(7, -4) lies on the curve y = 4 6 - x 4 (a) If Q is the point (x, find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - X (i) 6.9 тра (ii) 6.99 тра = = (iii) 6.999 тра = (iv) 6.9999 тра (V) 7.1 тра (vi) 7.01 = тра = = (vii) 7.001 тра = (viii) 7.0001 тра = (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7, −4). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4).
The point P(7, -4) lies on the curve y = 4 6 - x 4 (a) If Q is the point (x, find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - X (i) 6.9 тра (ii) 6.99 тра = = (iii) 6.999 тра = (iv) 6.9999 тра (V) 7.1 тра (vi) 7.01 = тра = = (vii) 7.001 тра = (viii) 7.0001 тра = (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7, −4). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
Question
![The point P(7, -4) lies on the curve y =
4
6 - x
4
(a) If Q is the point (x,
find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
6 - X
(i) 6.9
тра
(ii) 6.99
тра
=
=
(iii) 6.999
тра
=
(iv) 6.9999
тра
(V) 7.1
тра
(vi) 7.01
=
тра
=
=
(vii) 7.001
тра
=
(viii) 7.0001
тра
=
(b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7, −4).
m =
(c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8893ef1-52d1-4efd-8219-310ab1b5eb4e%2F9b1ce682-4168-4475-ac35-4a6ab8f2fa03%2Fxbzi5hd_processed.png&w=3840&q=75)
Transcribed Image Text:The point P(7, -4) lies on the curve y =
4
6 - x
4
(a) If Q is the point (x,
find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
6 - X
(i) 6.9
тра
(ii) 6.99
тра
=
=
(iii) 6.999
тра
=
(iv) 6.9999
тра
(V) 7.1
тра
(vi) 7.01
=
тра
=
=
(vii) 7.001
тра
=
(viii) 7.0001
тра
=
(b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(7, −4).
m =
(c) Using the slope from part (b), find an equation of the tangent line to the curve at P(7, -4).
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