Recent content by Swamifez

(χ2) or http://en.wikipedia.org/wiki/Pearson's_chi-square_test

A student hangs masses on a spring and measures the spring's extension as a function of the applied force in order to find the spring constant k. Her measurements are: Mass(kg): 200, 300, 400, 500, 600, 700, 800, 900 Extension (cm): 5.1, 5.5, 5.9, 6.8, 7.4, 7.5, 8.6, 9.4 There is an...

I've been working on this for the past hour, but haven't gone anywhere with it. If anyone can help to complete it, it would be highly appreciated. Thanks Let 0< a[SIZE="1"]1< b[SIZE="1"]1 and define a[SIZE="1"]n+1= √a[SIZE="1"]n[SIZE="1"]b[SIZE="1"]n...

If f(x)>0 for all xElement-ofsymbol [a,b], then b Integral sign f>0 a a) Give an example where f(x)>0 for all xElement-ofsymbol [a,b], and f(x)>0 for some xElement-ofsymbol [a,b], and b Integral sign f=0 a b) Suppose that f(x)>0 for all xElement-of symbol[a,b] and f is continuous on at...

Let f(x)= {1 if -1 < x<0; {-1 if 0 < x < 1. Prove that f(x) is integrable on -1 < x < 1.

Use the Mean Value Theorem to show that: a)Suppose f is a diferentiable function on the interval a < b, and suppose f '(x) is not equal to 0 for all x Element Symbol (a,b). Show that f is one-to-one on the interval (a,b). b) Assume that |f ' (x)| < C < 1 for all x. Show that f (x) = x has at...

Homework Statement Use the Mean Value Theorem to show that: a)Suppose f is a diferentiable function on the interval a < b, and suppose f '(x) is not equal to 0 for all x Element Symbol (a,b). Show that f is one-to-one on the interval (a,b). b) Assume that |f ' (x)| < or equal to C < 1...