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1. Find the limits of: a) Find lim x--x-6 b) Find lim sin3x *+3 x-3 *40 8*-1 Note: the possible answers for limits are a number, too, -co or DNE 2. Express the derivative dy/dx in terms of x if y = u (1 + u )* and u = (3x - 2)2 3. Differentiate the following functions. a) g(x) = Inx x+1 b) f(x)= e*cos(2x) 4. Consider f(x) = - 4 x + 2 a) calculate the asymptotes (vertical, horizontal) b) find the slope of the tangent line using derivative rules. 5. A region in the plane is bounded by x-axis, the graph y=16-x and the lines x=0, x=3. Compute the area of the region using the First Fundamental Theorem of Calculus. a) Sketch and label the boundaries and shade the region