The point P(6, -3) lies on the curve y = (a) If Q is the point (x.. (1) 5.9 MpQ (ii) 5.99 MpQ (iii) 5.999 Mpq= (iv) 5.9999 MpQ (v) 6.1 MpQ (vi) 6.01 MpQ = (vii) 6.001 mpQ m = (viii) 6.0001 + (x₁ 5²x). 5-x find the slope of the secant line PQ (correct to six decimal places) for the following values of x.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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The point P(6, -3) lies on the curve y =
(a) If Q is the point x,
(0) 5.9
MpQ
(ii) 5.99
MpQ
(iii) 5.999
m, =
"PQ
(iv) 5.9999
MpQ
(v) 6.1
MpQ
(vi) 6.01
MpQ
(vii) 6.001
MpQ
(viii) 6.0001
MpQ =
5-x
3
int(x, 5² x). find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
(b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(6, -3).
m= 3
(c) Using the slope from part (b), find an equation of the tangent line to the curve at P(6, -3).
y = 3x - 21
Transcribed Image Text:The point P(6, -3) lies on the curve y = (a) If Q is the point x, (0) 5.9 MpQ (ii) 5.99 MpQ (iii) 5.999 m, = "PQ (iv) 5.9999 MpQ (v) 6.1 MpQ (vi) 6.01 MpQ (vii) 6.001 MpQ (viii) 6.0001 MpQ = 5-x 3 int(x, 5² x). find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(6, -3). m= 3 (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(6, -3). y = 3x - 21
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