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1. Evaluate the correctness of the following statements (T/F), no justification is required. (a) From a numerical perspective integration is better conditioned than differentiation. (b) A quadrature method using n + 1 points/nodes has exactness degree at most n + 1. (c) All consistent methods for solving ODEs are convergent. (d) f(x+h)-f(x) h and f(x+h)-f(xh) 2h are both valid approximations for f'(x). (c) Single step methods for solving ODEs require only a single evaluation of f(t, y). (f) All multi-step methods are implicit. (g) All fourth order ODEs can be written as a system of first order ODES. (h) All consistent mulit-step methods that satisfy the root condition are convergent. (i) Using RK4 to find the initial values for AM4 is an example of a predictor-corrector. (j) All Adam's multi-step methods (AB and AM) are stable.