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1. (3 points) Consider the system of nonlinear equations a+e==1, Approximate the root using one iteration of Newton's method, with initial guess (1,1). 2. (3 points) The function f(2) = I +e-2x has a minimum in the interval [0,1]. Approximate the minimum using one iteration of the (equally spaced) section search. 3. (4 points) The function f(z,g) = x² - 3r+1+2e-8 has a minimum in the region 2. Approximate the minimum using one iterations of Newton's method, with initial guess (1,1)

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