Examples of Curve Sketching - Page 7

Questions
  • What are the intersection points between the graphs of #x=y^2# and #x=y#?
  • Find two level curves of the function #f(x,y)=(x+y)/(x-y),x≠y# and sketch them?
  • Prove that the curves #x = y^2# and #xy = k# cut at right angles if #8k^2 = 1#?