Recent content by am100181

A read somewhere that a hint would be to begin with an absolute value and use \intf(x)dx = F(b)-F(a) (fundamental theorem of calc prep 2) repeatedly.. but still puzzled

Homework Statement Find a function f : [-1,1] ---> R such that f satisfies the following properties: a) f is continuous b) f is restricted to (-1,1) is differentiable c) its derivative f' is not differentiable on (-1,1) Homework Equations The Attempt at a Solution I kinda...

Homework Statement Show that: max{a,b}=1/2*(a+b+|a-b|) Hence or otherwise, show that if f,g:R ----> R are continuous, then the function h:R ----> R defined by h(x) = max{f(x),g(x)} is also continuos. Suppose the f:(0,inf) ---> R is differentiable and f(x) ---> 0 as x---> inf. Set...