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E14B.3 Suppose we have a positively-charged particle inside an arbitrarily-shaped closed Charge gaussian surface as shown in (a). Then we Charges bring an identical particle and park it just outside the gaussian surface as shown in (b). (a) Gaussian surface Gaussian surface > Does the electric field at point P increase, decrease or remain the same for situation (b) relative to situation (a)? Explain your reasoning. > Does the electric flux across the gaussian surface increase, decrease or remain the same for situation (b) relative to situation (a)? Explain your reasoning.Question 2. (E) The previous question helped you work out the mechanics of various Gaussian elimination variants. In this question, we see the application. Consider the following system of equations 61 + 202 + 2.13 = -2. 2n + =1+= =1, 1 3 $1 + 212 - 13 =0. (a) Find the true solution to the above system. (You may use Naive Gaussian elimination with exact arithmetic, or use computer software.) (b) Use Naive Gaussian elimination and floating point arithmetic (with rounding and four digits in the significand) to compute the solution of the system of equations. How does it compare to the true solution? (c) Use Gaussian elimination with partial pivoting in floating point arithmetic (with rounding and four digits in the significand) to compute the solution to the same system. How does it compare to the true solution, and to the solution obtained in part (b)? Make sure to clearly show all your steps, including any row/column exchanges and index/scaling vectors.Let {Xiji=1 36 be the sequence of continuous IIDRV with EXi = 40, Var Xi = 144, i = 1, ..., 36 and A36 Eil Xi = 36 (a) By using the Markov's inequality estimate P( A36