Consider the function y=x6−2. Do the following steps: 1) Find the tangent line at x=1 2) Find the x-intercept of the tangent line in part (A), to be called x1 3) Find the tangent line (#2) at x1, to be called y2
Consider the function y=x6−2. Do the following steps: 1) Find the tangent line at x=1 2) Find the x-intercept of the tangent line in part (A), to be called x1 3) Find the tangent line (#2) at x1, to be called y2
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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D) Consider the function y=x6−2. Do the following steps:
1) Find the tangent line at x=1
2) Find the x-intercept of the tangent line in part (A), to be called x1
3) Find the tangent line (#2) at x1, to be called y2
4) Find the x-intercept of the tangent line y2, to be called x2
5) Find the tangent line (#3) at x2, to be called y3
6) Find the x-intercept of the tangent line y3, to be called x3
7) Sketch the graph of the function and each tangent line on the same graph, legibly
8) Calculate 6√2 to the thousandth place using your choice of technology &
compare its value to x3
9) Calculate (x3)6−2 & make the connection to part (8)
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