1) What is the parity of the following permutation? (1389) (24) (567)

4.7 Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h²) to estimate the first derivative of the function examined in Prob. 4.5. Evaluate the derivative at x = 2 using a step size of h = 0.2. Compare your results with the true value of the derivative. Interpret your results on the basis of the remainder term of the Taylor series expansion.

but use the series for cosx

Work out 0.004 multiple by 0.32

Write 3/5 as a percentage

4.5 Use zero- through third-order Taylor series expansions to predict f(2.5) for f(x) = 25x³- 6x²+7x - 88 using a base point at x = 1. Compute the true percent relative error ε, for each approximation.

4.3 Perform the same computation as in Prob. 4.2, but use the Maclaurin series expansion for sin x to estimate sin(л/6). sin x=x- 3x15 3! 5! 7! +

lim 1 x→0x3 L 0 X ln(1+t) dt t4 +4

Not use ai please