MTH 306 Lecture 9: Lecture9

9. After executing this code int a = 57; int b = 43; a b a a b a a b a += b; = a - b; -= b; += b; = a - b; -= b; += b; = a - b; -= b; the values of a and b will be swapped. (A) TRUE (B) FALSE

Which do you expect to give the better approximation of any old function f[x] on an interval [b - 2, b + 2]:
expan2[x, b] = f[b] + f'[b] (x - b) + (1/2) Derivative[1][f'][b] (x - b)^2
or
fmidpt[x, b] = f[b] + f'[(x + b)/2] (x - b) ?