cout << "Enter the width, W: ";
cin >> w;
cout << "Error: The Width must be strictly positive." << endl;
cout << "Enter the height, H: ";
cin >> h;
cout << "Error: The Height must be strictly positive." << endl;
x=(6*x*x)+(x(-2h-2w))+((h*w)/2); // is this my x?
That's all I got so far we have to do this:
[spoiler]Suppose you want to build a covered box by cutting sections out of a W by H sheet of
cardboard (in meters) and folding as shown in the figure below (cutout the shaded regions
and fold on the dotted lines).
Derive an expression for the volume, V , of the box and analytically compute its derivative
as a function of x.
Write a program to find the roots of your derivative and so find the dimension for x (and
by extension y, and z) that maximizes the volume. Your program should read the values
of W and H from standard input after providing an appropriate prompt, find the maximal
volume, then print the maximal volume and the maximizing dimensions x, y, and z. Your
program should automatically determine the allowed range of values for the dimensions given
W and H (note some care is needed when they are equal). Use a constant tolerance of 0:01
meters for the convergence criteria in the bisection.
[/spoiler] I've already found the derivative, which is in my code, but I really don't understand bisection that much and how I get the ranges using bisection . I can do the rest after that point, but the bisection just has me stuck.
Basically I'm lost in what am I suppose to set equal to x, so I could get the rest of the equations to work.