sin(3x). a) If Q is the point (î, sin(3x)), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x: The point P(1, 0) lies on the curve y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
The point P(1, 0) lies on the curve y = sin(3πx).
a) If Q is the point (x, sin(3x)), use your calculator to find the slope of the secant
line PQ (correct to six decimal places) for the following values of x:
i) 0
Slope
ii) 0.9
Slope
iii) 0.99
Slope
iv) 0.999
Slope
v) 1.5
Transcribed Image Text:The point P(1, 0) lies on the curve y = sin(3πx). a) If Q is the point (x, sin(3x)), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x: i) 0 Slope ii) 0.9 Slope iii) 0.99 Slope iv) 0.999 Slope v) 1.5
vi) 1.1
Slope
vii) 1.01
Slope
viii) 1.001
Slope
b) Using the results from part a), guess the value of the slope of the tangent line to the
curve at P(1,0).
Slope
c) Using the slope from part b), find an equation of the tangent line to the curve at
P(1,0).
Tangent Line
y =
CHECK ANSWER
Transcribed Image Text:vi) 1.1 Slope vii) 1.01 Slope viii) 1.001 Slope b) Using the results from part a), guess the value of the slope of the tangent line to the curve at P(1,0). Slope c) Using the slope from part b), find an equation of the tangent line to the curve at P(1,0). Tangent Line y = CHECK ANSWER
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,