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9. NORMALIZING A GAUSSIAN m The function () - up in many applications from time the distribution of so to the recent signal of a

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9. NORMALIZING A GAUSSIAN m The function () - up in many applications from time the distribution of so to the recent signal of a single molecule to the distribution of velocities of Molecules in Suppowe want to normalme a distrit of this form that we want to watch that We don't know how to deal with the infinite limits, but becomes wyals becs large. We a) Witam w sos ie that made the integral de 10 anges of b.) Write a sum, sing sigma notation, that appecimates the integral de using 10 rectangles of c) Use the following code to evaluate the integral ce and with Mat e ral function d ing the two methods with 200 interval Rectangles 200; dxxaxx_min); xuxinedxdx : BAX exp(-x2) Iesu (fe ): Trold 200; dxxsax-x_min); fi exp(-x 2 ); xxindixxx I-(1/2)(a ) (2x)): Matlab Ieintegral(x) (exp(-x. 2)).-5,5); d.) For the particular integral do it is posible to do a clever trick to find a solution ion' C ate the work is exact sa - mat ) . How d.) What is the normalization c at? 9. NORMALIZING A GAUSSIAN m The function () - up in many applications from time the distribution of so to the recent signal of a single molecule to the distribution of velocities of Molecules in Suppowe want to normalme a distrit of this form that we want to watch that We don't know how to deal with the infinite limits, but becomes wyals becs large. We a) Witam w sos ie that made the integral de 10 anges of b.) Write a sum, sing sigma notation, that appecimates the integral de using 10 rectangles of c) Use the following code to evaluate the integral ce and with Mat e ral function d ing the two methods with 200 interval Rectangles 200; dxxaxx_min); xuxinedxdx : BAX exp(-x2) Iesu (fe ): Trold 200; dxxsax-x_min); fi exp(-x 2 ); xxindixxx I-(1/2)(a ) (2x)): Matlab Ieintegral(x) (exp(-x. 2)).-5,5); d.) For the particular integral do it is posible to do a clever trick to find a solution ion' C ate the work is exact sa - mat ) . How d.) What is the normalization c at

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