please answer all the questions i need the answers

A magnetic field, B, is given as a function of the distance, r, from the center of a wire as follows. Bo for r's ro B(r) = To 50 Bo for r > ro (c) Is & differentiable at r = fa7 Give reasons; The function B is differentiable at / = ro, because the graph does not have a corner at i'm re and the slope for / :59. Q:The function # is not differentiable at r - ro, because the function is not defined at r = ro- (b) Is B continuous at r = ro? Give reasons. B is continuous at r = ro, because lim 8() = 1.58, and lim B(r) = Bo. B is continuous at r = ro, because lim B(r) = Bo and lim B(r) = Bo. r-sot B is continuous at / = ro, because lim B(r) = -Bo and lim B(r) = Bo. r-ro B is not continuous at / = fo. because lim B(r) = -Bo and lim B(r) = 50- r-ro* B is not continuous at f = ro, because lim B(r) = 8, and lim B(r) = -Bg- (a) Sketch a graph of B against r. Bo Bo ro B Bo Bo ro ro O O