The point P(7, -4) lies on the curve y = 6- (a) If Q is the point find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - (i) 6.9 mpo 4.444444 (ii) 6.99 4.040404 (iii) 6.999 4.004004 mpo (iv) 6.9999 mpo = 4.000400 (v) 7.1 = [3.636383 (vi) 7.01 mpo = (vii) 7.001 (viii) 7.0001 (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). Need Help? Read It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Please help with a) last three, B and c.
The point P(7, -4) lies on the curve y =
6-
(a) If Q is the point
find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
6 -
(i) 6.9
mpo
4.444444
(ii) 6.99
4.040404
(iii) 6.999
4.004004
mpo
(iv) 6.9999
mpo = 4.000400
(v) 7.1
= [3.636383
(vi) 7.01
mpo =
(vii) 7.001
(viii) 7.0001
(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).
Need Help?
Read It
Transcribed Image Text:The point P(7, -4) lies on the curve y = 6- (a) If Q is the point find the slope of the secant line PQ (correct to six decimal places) for the following values of x. 6 - (i) 6.9 mpo 4.444444 (ii) 6.99 4.040404 (iii) 6.999 4.004004 mpo (iv) 6.9999 mpo = 4.000400 (v) 7.1 = [3.636383 (vi) 7.01 mpo = (vii) 7.001 (viii) 7.0001 (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). Need Help? Read It
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage