B. Solve the following problems. Write your solutions and final answers on a separate sheet. 1. Find the equations of the tangent and normal lines to the curve y= x + 2x+ 3 at x = -1. (Note: A normal line is a line perpendicular to the tangent line at the point of tangency.) 2. Find the equation of the tangent line to the curve y = x? - 2x - 3 that is parallel to the line x + y = 1. 3. Find the equation of the tangent line to the curve y = x2 - 3x + 4 that is perpendicular to the line x - y= =1. 4. Suppose the function is defined by y = f (x] = x - x a. Find the average rate of change of y with respect to x over the interval [1, 3]. b. Find the instantaneous rate of change of y with respect to x at the point x=-1