I'm having trouble with the last two parts of this question here

Exercise 8.9. Let g : R2 > R be given by g(v,w) = v2 102. This exercise works out the contour plot of 9 via visual reasoning; later it will be an important special case for the study of what are called \"saddle points\" in the multivariable second derivative test. (a) Sketch the level set 9(1), w) = 0. (b) The level set 9(1), 111) = l is a hyperbola (with two \"branches\"). Mark where it cuts either of the coordinate axes, and explain why for |v| or M large we have 122 m w2 on this level set, so 12 m :lzw. Sketch the resulting hyperbola, with asymptotes v = iw. (c) The level set 9(1), w) = l is a hyperbola (with two \"branches\"). Mark where it cuts either of the coordinate axes, and explain why for |v| or |w| large we have 122 z w2 on this level set, so 12 m :l:w. Sketch the resulting hyperbola, with asymptotes v = :l:w. (d) For c > 0, check that g(v/\\/E,w/\\/E) = l precisely when g(v, w) = c. Using this and (b), explain why the level set g(v, w) = c is the same as the scaling up by the factor \\/5 of the level set in (b). (e) For c