please answer true or false, no work shown required

1. (40%) True and False a . dx = = -2 . X b . If f is continuous then Saf (t ) at = f (x) . C . The slope of the tangent at any point (a, b) on the curve x2 + y2 = r2 is -a/b. d. If f is continuous and, A(x) = Saf(t)dt, then A'(x) = f(x). lim x2 lim 2x e. = lim - = x-0 3x2+x x-0 6x+1 X-06 f . The fact that f is an integrable function implies that there always exists a differentiable function, F(x) , such that F' (x) = f(x) . x2 2x g . lim = lim x-0 3x2+x x-0 6x+1 h . If f' (a) =g' (a) then f(a) =g(a) + c where c is a constant. i . If functions f, and g are differentiable, and have a maximum distance between the two functions at x=a, then f' (a) = g' (a) . j . If f(x) is continuous on a closed interval I, and f(a) and f (b) have opposite signs where a and b are in I, then there exists a value c in [a, b] such that f (c) =0. k . There are only 2 types of asymptotes: horizontal, and vertical asymptotes