1. Value of using Monte Carlo (s Points): The value of tombe estimated ting Monte-Carlo method follow Counder a circle of it This incribed inside a use of sides unit on the other circle is the ar?V-1 Gewrate raden points that fall within the square, Le -1 > in the region 10,1 ming {a) Matlab silt-in function integral (b) Monte-Carlo integration by estimating the most of the functie The un can be estimated by eating and points in the region 10. ). lating the function at these mom points and estimating them (c) Compare the route with the exact or 0.3351247 format LONG in Matlab to get the estimates to the propriate decimal place 3. Fresnel's Diffraction (s Points): In Frostel's differentiether integrals play an important parti C) - corso 23 1 $(w) - Lizards Write a function for calculating Cle) and (w). Plot Sant C 0.0.0.1,0.2.....50. What does the plot regret 1. Value of using Monte Carlo (5 Points): The value of can be estimated using Monte-Carlo method as follows: Consider a circle of unit radius inscribed inside a square of sides 2 unit long. The equation of the circle is given as r? + y2 = 1. Generate N random points {P...} that fall within the square, i.e., 1-1 > in the region 10,1 ming {a) Matlab silt-in function integral (b) Monte-Carlo integration by estimating the most of the functie The un can be estimated by eating and points in the region 10. ). lating the function at these mom points and estimating them (c) Compare the route with the exact or 0.3351247 format LONG in Matlab to get the estimates to the propriate decimal place 3. Fresnel's Diffraction (s Points): In Frostel's differentiether integrals play an important parti C) - corso 23 1 $(w) - Lizards Write a function for calculating Cle) and (w). Plot Sant C 0.0.0.1,0.2.....50. What does the plot regret 1. Value of using Monte Carlo (5 Points): The value of can be estimated using Monte-Carlo method as follows: Consider a circle of unit radius inscribed inside a square of sides 2 unit long. The equation of the circle is given as r? + y2 = 1. Generate N random points {P...} that fall within the square, i.e., 1-1