(Rootfinding and quadrature, 20 points) The following function arises in the study of the diffraction of light through a rectangular aperture. cos dt 0 Suppose you need to find the value of x that produces C(x) = 1/2 Describe, in detail, an efficient procedure for solving this problem using the computational techniques discussed in this class (i.e. rootfinding and quadrature). You do not need to actually compute anything numerically, just setup the equations and formulas. multiplication, division, square roots, trigonometric functions, exponentiation, and looping. You may not assume that you have access to any software libraries (e.g., MATLAB , Maple, or Mathematica)