Question

Python questions

1) Mark true or false according to the following functions below.
a) f(x) = a1 + a2x + a3x^2 is linear in x

b) f(x) = a1 + a2x + a3x^2 is linear in the ai for i = 1, 2, 3

c)  f(x, y) = x log(y) is linear in x

d)  f(x, y) = x log(y) is linear in y

2) What order does the interpolating polynomial through 6 points have?

3) For this problem, you have measured two quantities, x ± δx and y ± δy with the corresponding errors. What is the propagated error δf on the following functions of x and y? For this, you may use either the general error propagation law or the method of upper and lower bounds.

a) f(x, y) = x − y

b) f(x, y) = xy

c) f(x) = log(x)

Answer 1