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 =
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
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Question

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

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 =
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