A curve in the

xy

-plane is defined by the equation

x^(3)+y^(2)-12x+16y=28

. Which of the following statements are true?\ At points where

x=-2

, the lines tangent to the curve are horizontal.\ II. At points where

y=-8

, the lines tangent to the curve are vertical.\ III. The line tangent to the curve at the point

(-1,1)

has slope

(1)/(2)

.\ I and II only\ II and III only\ I and III only\ I, II, and III

A curve in the xy-plane is defined by the equation x3+y212x+16y=28. Which of the following statements are true? I. At points where x=2, the lines tangent to the curve are horizontal. II. At points where y=8, the lines tangent to the curve are vertical. III. The line tangent to the curve at the point (1,1) has slope 21. (A) I and II only (B) II and III only (C) I and III only (D) I, II, and