Part 1 - Application The magnitude R (on the Richter scale) of an earthquake of Intensity | is defined as a =minimum intensity used for comparison. R = MgTL- 1 Ms. Cohen felt an earthquake in Los Angeles that had an intensity of (5 x 10 6)(I a). What was its magnitude, to one decimal place, on the Richter scale? Be sure to show and explain your work. Part 2 - Find the error(s) and solve the problem correctly. Solve. Be sure to show and explain your work. 1034(x+3)+log 4(ac3) 2 Answer: log 4(x + 3) + log 40: 3) II N log 4(x+3+x3) =2 log 4(2x) = 2 42=2x 16=2x 8=x Part 3 - Discussion Question How do we know that e xand in x are inverses of each other? 5. Use the arc length formula and the given information to find r. Show your work for full credit. (2 points) s = 8.1 ft 0 = rad r = ?. Solve for x. Round your answer to two decimal places. Show your work for full credit. (3 points) 20 x L Evaluate sin 60" without using a calculator by using ratios in a reference triangle. (3 points) . Find the point on the terminal side of B = _3" that has an x coordinate of -1. Show your work for full credit. (3 points) 4 Identify the maximum and minimum values of the function y = 3 cos x in the interval [-2TT , 2Ti]. Use your understanding of transformations, not your graphing calculator. (3 points)Analyze the function f(x) = - tan 4x. Include: - Domain and range - Period - Two Vertical Asymptotes (6 points) . Find the exact value of cos(arcsin( % D. For full credit, explain your reasoning. (2 points) A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 16 18'. When the boat stops, the angle of depression is 48 51'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. (3 points). From a boat on the lake, the angle of elevation to the top of a cliff is 1841 '. If the base of the cliff is 991 feet from the boat, how high is the cliff (to the nearest foot)? (5 points) i. Find the exact value of arccos (sin ( g D. For full credit, explain your reasoning. (5 points) A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 16 23'. When the boat stops, the angle of depression is 4929' . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. (5 points)