1. Given that f(x) = arctanx and g(x) =e A. Write the equation of the line tangent to f(x) at x = v3. (3 points) B. Write the equation of the normal line to f(x) at x = 1. (4 points)C. Find the area enclosed by the x-axis, the function g(x), and the vertical lines x = 2 and x = 4. (4 points) D. Find the area enclosed by the x-axis, the function /" (x), and the vertical lines x = () 3 and x =-. (4 points)2. Consider the Exponential function x} - 2\" +1. A. Find the inverse function, f"(.x}, and state the domain of the inverse function. [4 points} E. Find the coordinates (x, y} of the mo points of intersection between x} and the line y = x. [2 points} C. Determine the exact area of the region bounded by /(x) and y = x. (3 points) D. Determine the area of the region bounded by /(x) and /-(x). (2 points) E. Determine the value of a, such that the average value of the function f(x) on the interval [2, a] is 8. Round your value for a to 3 decimal places. (4 points)