The decay of 923 mg of an isotope described by the function A(t)= 923e-0.027t, where t...

    

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The decay of 923 mg of an isotope described by the function A(t)= 923e-0.027t, where t is time in years. Find the amount left after 76 years. Round your answer to the nearest mg. Show all of your work for full credit. (5 points) 5. Use the arc length formula and the given information to find s. Show your work for full credit. (2 points) r = 20 ft 0,= 19 s = ? 4. Solve for x. Round your answer to two decimal places. Show your work for full credit. (3 points) 20 X 32 2. Evaluate cot 45 without using a calculator by using ratios in a reference triangle. (3 points) 4. Find the point on the terminal side of 0 = BiU Font Family that has an x coordinate of 2. Show your work for full credit. (3 points) - AA- A = E 4. Identify the maximum and minimum values of the function y = 3 cos x in the interval [-21, 2]. Use your understanding of transformations, not your graphing calculator. (3 points) Bi U Font Family AA A (5) ! 2. Analyze the function f(x) = sec 2x. Include: - Domain and range - Period and Amplitude Two Vertical Asymptotes (6 points) BU Font Family AA ||| = : 0 (HD in ! 5. Find the exact value of cos(arcsin()). For full credit, explain your reasoning. (2 points) BiU Font Family AA A = BED is 4. 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 1618'. When the boat stops, the angle of depression is 4851'. 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) B U Font Family - AA- A in 20. 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 1833'. When the boat stops, the angle of depression is 5133'. 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. (1 point) BiU Font Family - AA- A BED in 18. From a boat on the lake, the angle of elevation to the top of a cliff is 1554'. If the base of the cliff is 967 feet from the boat, how high is the cliff (to the nearest foot)? (5 points) Bi U Font Family 19. Find the exact value of arccos (sin ( )). For full credit, explain your reasoning. (5 points) BiU - AA A Font Family - AA- A = E GED ! 20. 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 1623'. 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) B i U Font Family AA A The decay of 923 mg of an isotope described by the function A(t)= 923e-0.027t, where t is time in years. Find the amount left after 76 years. Round your answer to the nearest mg. Show all of your work for full credit. (5 points) 5. Use the arc length formula and the given information to find s. Show your work for full credit. (2 points) r = 20 ft 0,= 19 s = ? 4. Solve for x. Round your answer to two decimal places. Show your work for full credit. (3 points) 20 X 32 2. Evaluate cot 45 without using a calculator by using ratios in a reference triangle. (3 points) 4. Find the point on the terminal side of 0 = BiU Font Family that has an x coordinate of 2. Show your work for full credit. (3 points) - AA- A = E 4. Identify the maximum and minimum values of the function y = 3 cos x in the interval [-21, 2]. Use your understanding of transformations, not your graphing calculator. (3 points) Bi U Font Family AA A (5) ! 2. Analyze the function f(x) = sec 2x. Include: - Domain and range - Period and Amplitude Two Vertical Asymptotes (6 points) BU Font Family AA ||| = : 0 (HD in ! 5. Find the exact value of cos(arcsin()). For full credit, explain your reasoning. (2 points) BiU Font Family AA A = BED is 4. 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 1618'. When the boat stops, the angle of depression is 4851'. 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) B U Font Family - AA- A in 20. 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 1833'. When the boat stops, the angle of depression is 5133'. 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. (1 point) BiU Font Family - AA- A BED in 18. From a boat on the lake, the angle of elevation to the top of a cliff is 1554'. If the base of the cliff is 967 feet from the boat, how high is the cliff (to the nearest foot)? (5 points) Bi U Font Family 19. Find the exact value of arccos (sin ( )). For full credit, explain your reasoning. (5 points) BiU - AA A Font Family - AA- A = E GED ! 20. 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 1623'. 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) B i U Font Family AA A