1. The slope of the curve y' - xy = 4 at the point where y = 2 is couldmini (A) -2 (B) (0 -2 (D) 2 (E) 2 2. The slope of the curve y - xy - 3x = 1 at the point (0, -1) is (A) -1 (B) -2 (C) +1 (D) 2 (E) -3 3. The equation of the tangent to the curve y = x sin x at the point 2'2 (A) y=X-1 (B) y= 2 (C) y=x-x in ull (D) y=x+ (E) y=x 4. The tangent to the curve of y = xe * is horizontal when x is equal to (A) 0 (B) 1 (C) -1 (D) (E) ex wi vel 2 5. The minimum value of the slope of the curve y = x' + x - 2x is (A) 0 (B) 2 (C) 6 (D) -2 (E) -6 6. The equation of the tangent to the hyperbola x - y' = 12 at the point (4, 2) on the curve is (A) x- 2y+6=0 (B) y= 2x (C) y = 2x-6 (D) y= 7 (E) x+2y=6 7. The tangent to the curve y' - xy + 9 =0 is vertical when (A) y=0 (B) y=+ v3 (C) y= (D) y=13 (E) none of these