M Marcia New member Joined Oct 18, 2005 Messages 14 Oct 18, 2005 #1 Let f(x) = cubed root of (1 + x) a. find L(x) at c=7 b. approx. delta f at c=7 / delta x=0.1 c. Find upper bound error for part b.
Let f(x) = cubed root of (1 + x) a. find L(x) at c=7 b. approx. delta f at c=7 / delta x=0.1 c. Find upper bound error for part b.
G Gene Senior Member Joined Oct 8, 2003 Messages 1,904 Oct 18, 2005 #2 Assuming that x=c a) f(x) =(1+7)^(1/3) = 8^(1/3) = 2 b) I think you want delta f(x)/delta(x) = ((8.1)^(1/3) - 8^(1/3))/.1 = (2.0083 - 2)/.1 = .083 c) Sorry, I don't recall errors at a point. Anyone else?
Assuming that x=c a) f(x) =(1+7)^(1/3) = 8^(1/3) = 2 b) I think you want delta f(x)/delta(x) = ((8.1)^(1/3) - 8^(1/3))/.1 = (2.0083 - 2)/.1 = .083 c) Sorry, I don't recall errors at a point. Anyone else?
