Use a linearization approximation of f (as) = at a = 9 for \\/9.9. Hint: The value of m is inside the square root and use the equation L(:c) = f (a) + f' (a)(:c a). Consider the curve given by my + y2 = 2. Find the slope of the tangent line at the point (1, 1). Hint: Use implicit differentiation Let f (as) = 2333 +3532 + l on the interval [3, 1]. Find the absolute minimum value of f (as) on the interval. Hint: Find the critical points and evaluate f (:3) at the endpoints of the interval and at the critical points. Figure 1: The graph of v(t) Find where the particle is a) moving forwards b) speeding up 0) slowing down (1) at maximum speed. What is a general rule for determining the horizontal/slant asymptotes of rational functions and how is that related to finding the limits at infinity? 2 Find the horizontal/slant asymptotes of f (x) = x2+6x49 2 (x + 2 )