The point P(6,-3) lies on the curve y5-x e point (x₁ - x). find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (1) 5.9 (a) If Q is the point (x.. (ii) 5.99 (iii) 5.999 (iv) 5.9999 MpQ (v) 6.1 MpQ (vi) 6.01 3.333333 (vii) 6.001 13.030303 = 2.99999 3.003003 = 2.727272 (viii) 6.0001 2970297 MpQ = 2.007003 12.00700 x X
The point P(6,-3) lies on the curve y5-x e point (x₁ - x). find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (1) 5.9 (a) If Q is the point (x.. (ii) 5.99 (iii) 5.999 (iv) 5.9999 MpQ (v) 6.1 MpQ (vi) 6.01 3.333333 (vii) 6.001 13.030303 = 2.99999 3.003003 = 2.727272 (viii) 6.0001 2970297 MpQ = 2.007003 12.00700 x X
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
Related questions
Question
Please solve (iv), (v), and (viii)
![The point P(6,-3) lies on the curve y =
(a) If Q is the point x,
(1) 5.9
PQ
e point (x₁53x). find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
5-x,
(ii) 5.99
"PQ
(iii) 5.999
PQ
(v) 6.1
=3.030303
(iv) 5.9999
MpQ
(vi) 6.01
= 3.003003
MpQ
13.333333
(vii) 6.001
MpQ
= 2.727272
2.99999
(viii) 6.0001
2.970297
= 2.997003
1.99700
x
X
5-x
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf9c0948-a07f-432e-b99c-8acd122bf28e%2F1c0b3ea1-69a0-48cd-98b3-e95788371579%2F0r7wlev_processed.png&w=3840&q=75)
Transcribed Image Text:The point P(6,-3) lies on the curve y =
(a) If Q is the point x,
(1) 5.9
PQ
e point (x₁53x). find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
5-x,
(ii) 5.99
"PQ
(iii) 5.999
PQ
(v) 6.1
=3.030303
(iv) 5.9999
MpQ
(vi) 6.01
= 3.003003
MpQ
13.333333
(vii) 6.001
MpQ
= 2.727272
2.99999
(viii) 6.0001
2.970297
= 2.997003
1.99700
x
X
5-x
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)