Solve the following equations using Gaussian Elimination Method: 2x1 + 10x2 +6x3 = 4 x1 +x2 + 2x3 = -5 x1 + 5x2 +6x3=5

​Q. Taylor Series expansion of sine for x is computed as follows:             sin x=x - x^3/3! + x^5/5! - x^7/7!+...     Let the value of x be 30, hence radian value for 30 degree is 0.52359     sin(0.52359) = 0.52359 - 0.52359^3/3! + 0.52359^5/5! - 0.52359^7/7!+ ...  (a)Write a function in c++ that takes value of x in degrees and returns the value of x in radians. (b)Write a function in c++ that calculates and returns the factorial of a number.e.g. 3!=6 (c)Write a function in c++ that calculates and returns power of a number. e.g. 23=8. (d)Use the above three functions to find the taylor expansion of sine for in degrees as given above.(Calculate first 3 terms)

Estimate the integral of f(x)=sin(x)/x between 0 and 1 using Simpson's 3/8 rule. Use n=12