Consider the two parabolas 2-r-y=1, y-y-r=3 (a) Use fimplicit to plot the curves on the same set of axes on -4SI4-454 4. How many points of intersection are there? (b) Use Newton's method to compute the intersec- tion nearest to the origin (z,y) = (0,0). Exe- cute enough steps so that your approximate values are accurate to four places after the decimal point. (Trial-and-error is good enough.) (c) Compute the coordinates of all intersection points. this time using roots. Hint: eliminate one of the variables by hand.