5) This problem is somewhat related to the problem 4) above. Suppose that you are asked to find the point on the curve y = In(r) such that the tangent line passes through the point (3,5). The point on the curve cannot be found explicitly in closed form, but it can be approximated. First find an equation that you can solve that will give you the point you are looking for. Then use whatever algebraic method you want for approximating the solution (the bifurcation met hod is easy to use, but it is not very quick. Newton's method is quick, if you remember how to use it) Can you generalize this problem?
5) This problem is somewhat related to the problem 4) above. Suppose that you are asked to find the point on the curve y = In(r) such that the tangent line passes through the point (3,5). The point on the curve cannot be found explicitly in closed form, but it can be approximated. First find an equation that you can solve that will give you the point you are looking for. Then use whatever algebraic method you want for approximating the solution (the bifurcation met hod is easy to use, but it is not very quick. Newton's method is quick, if you remember how to use it) Can you generalize this problem?
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
Kindly solve question 5 only
Transcribed Image Text:4) Find the point on the curve y = ed where the tangent line passes through
the point (1,0). Make sure to illustrate your work with a graph diagramming
your solution.
5) This problem is somewhat related to the problem 4) above. Suppose that
you are asked to find the point on the curve y = In(r) such that the tangent
line passes through the point (3,5). The point on the curve cannot be found
explicitly in closed form, but it can be approximated. First find an equation
that you can solve that will give you the point you are looking for. Then
use whatever algebraic method you want for approximating the solution (the
bifurcation method is easy to use, but it is not very quick. Newton's method is
quick, if you remember how to use it) Can you generalize this problem?
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