Math4065 Test 2 Please write down all necessary steps towards the answers. There is no credit for answers without steps. Your answer sheets with PDF format is preferred. 1. Let f(x)=-x³-cos x and po == - : −1 use Newton's method to find p₂ . Could po O be used. 2. Let f(x)=-x³-cosx and p₁ = −1 and p₁ = 0, use the Secant method to find p³ 3. 4. Use the forward-difference formulas and backward-difference formulas to determine each missing entry in the following tables. a. x | f(x) f'(x) -0.3 1.9507 -0.1 2.0421 0.10 2.0601 b. x f(x) | f'(x) 1.0 1.0000 1.2 1.2625 1.4 1.6595 a. x f(x) -0.3 -0.27652 Use the most accurate three-point formula to determine each missing entry in the following tables. f'(x) b. x | f(x) f'(x) -68.3193 7.4 -0.2 -0.25074 7.6 -71.6982 -0.1 -0.16134 7.8 -75.1576 0 0 8.0 -78.6974 C. x f(x) | f'(x) d. x | f(x) f'(x) 1.1 1.52918 -2.7 0.054797 1.2 1.64024 -2.5 0.11342 1.3 1.70470 -2.3 0.65536 1.4 1.71277 -2.1 0.98472