A) Show that y Superscript 6 Baseline plus x minus 6 equals 0y6+x−6=0 is an implicit solution to StartFraction dy Over dx EndFraction equals negative StartFraction 1 Over 6 y Superscript 5 EndFraction dy dx=− 1 6y5 on the interval (negative infinity comma 6 )(−[infinity],6). (b) Show that xy Superscript 9 Baseline minus xy Superscript 9 Baseline cosine x equals 1xy9−xy9cosx=1 is an implicit solution to the differential equation StartFraction dy Over dx EndFraction equals StartFraction (negative x sine x plus cosine x minus 1 )y Over 9 (x minus x cosine x )EndFraction dy dx= (−xsinx+cosx−1)y 9(x−xcosx) on the interval (0 comma 2 pi )(0, 2π). (c) To verify the solution and the interval, convert y Superscript 6 Baseline plus x minus 6 equals 0y6+x−6=0 to explicit function(s).