Unit Test: Inverse and Transcendental Functions User Name:_ Instructor: Date: (print clearly) Free-Response Question 1 (with calculator) You may use your calculator for this question. (When you finish this question, if your test is proctored, ask your proctor for the next section. If you're taking the unproctored version of the test, continue with the next question. ) 1. The shaded regions R, and R2, shown below, are enclosed by the graphs of f(x) =-x and g(x) =-2". R 1 A. Find the x- and y-coordinates of the three points of intersection of the graphs of f and g. B. Estimate the area of R, to three reasonable places past the decimal.Unit Test: Inverse and Transcendental Functions User Name: Instructor: Date: (print clearly) C. Find the EXACT area of RE. (No calculator approximations) D. Find the exact volume of the solid formed by revolving R2 about the Xaxis. (No calculator approximations) Free-Response Question 2 (no calculator) You may not use your calculator for this question 2. The region R is a rectangle with vertices P(a, Ina), Q(a, 0), 5(3, 0), and T(3, Ina), where 1