Explain how to use the figure below and a sequence of similarity transformations to prove that all circles are similar.

i'm not sure what it means by "similarity transformations" unless those are the translations, dilations, etc. if that's what it's referring to, then i think i understand what it's asking. in advance.

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.