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  3. part 2 application 13 marks 1 given that sina 13...

Question: part 2 application 13 marks 1 given that sina 13...

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Part 2: Application (13 marks 1. Given that sina =-13 , π<a< following and coss 巨<ß<π. Solve the (3 marks) a) cos (α + β) b) cos(2a) c) sine-β) 2. Solution A has a pH of 5.6. Solution B has a pH of 10. How much of solution B must be added to 2.5 litres of solution A to naturalize it (pH target of 7.0) (2 marks) 3. After a race, a runners heart rate (in bpm) is modeled by the function R(t) -120(0.85) +70, where t represents the time in minutes. (4 marks) a) What is the average rate of change of heart rate over the first 5 minutes? b) What is the instantaneous rate of change after 10 minutes? c) How many minutes does it take for the heart rate to lower to 90bpm?
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