1) Express the distance between the point (3, 0) and the point y=x 2 P ( x , y ) of the parabola x . as a function of ( A ) D ( x )=x 2 ( B ) D ( x )= x2 6 x+ 9 ( C ) D ( x ) =|( x3 ) +x 2| ( D ) D ( x )= x 4 + x 26 x +9 of the above (E ) 2) If f ( x )=cos x and g ( x ) =x 4 , find f og and gof . ( A ) ( f o g ) ( x )=cos 4 x ; ( g o f )( x )=cos x 4 ( B )( f o g ) ( x )=cos x 4 ; ( g o f ) ( x )=cos 4 x ( C ) ( f o g )( x )=( cos x )4 ; ( g o f )( x )=x 4 cos x ( D )( f o g ) ( x ) =( cos 4 x ) ( x 4 ) ; ( g o f )( x )=( x 4 ) ( cos x ) of the above (E ) 3) Evaluate lim x 3 2x 6 2 x 4x 3 (A) 2/3 (B) 1 4) Given G(x) = (C) 3 2 2x 5 2x 10 (A) (- , ) (B) (-5, 5) . (D) does not exist (E) none of the above , tell where G is continuous. (Give your answer in interval form.) (C) ((D) (- , 5) , 0) (5, (0, ) ) (E) none of the above 5) Given f(x) = , find all points where f is not continuous. For each such 1 sin x , 2x x 2 4, x 0 x 0 point, tell whether or not the discontinuity is removable or not removable. Explain why the point is a discontinuity and then explain why it is a removable or non-removable discontinuity. (A) 0; removable discontinuity (B) 0; not removable discontinuity (C) -2, 2, 0; removable discontinuity (D) -2, 2, 0; not removable discontinuity (E) none of the above