a) Find the value of c for which the curves y = ln x and y = cx² are tangent to each other. b) Find the value of c for which the curves y = ln x and y = cx² are orthogonal to each other. c) Plot the functions from part a) in the domain x € [0.1, 5] and from part b) in the window x E [0.1, 5], y E [–2,3].

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter2: Problem Solving Using C++using
Section2.1: Introduction To C++
Problem 4E: (Practice) Determine names for functions that do the following: a. Find the average of a set of...
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4.
a) Find the value of c for which the curves y = In x and y = cx² are tangent to
%3D
each other.
b) Find the value of c for which the curves y = ln x and y = cx² are orthogonal
to each other.
c) Plot the functions from part a) in the domain x € [0.1, 5] and from part b) in
the window x E [0.1, 5], y E [-2, 3].
Transcribed Image Text:4. a) Find the value of c for which the curves y = In x and y = cx² are tangent to %3D each other. b) Find the value of c for which the curves y = ln x and y = cx² are orthogonal to each other. c) Plot the functions from part a) in the domain x € [0.1, 5] and from part b) in the window x E [0.1, 5], y E [-2, 3].
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