1. Find the missing coordinate of point P using the fact that P lies on the unit circle in quadrant 4. Remember to document your steps so that someone reading your solution can understand what you did how your work results in the answers you give P(0.8, ) 2. Solve the equation 2 + 35-4x = 10 in terms of logarithms and then use a calculator to find a decimal approximation to the solution. Exact solution in terms of logarithms: Decimal approximation (rounded to 3 places): 3. Find the period and amplitude of: y = 4 + cos (x) 4. csc(t) = 5 with / in quadrant 2. Find the following: (a) sin (t) (b) sec (t) 5. An investment that earns 7.5% per year compounded monthly. What is the actual annual (1-year) interest rate for this investment? 6. Simplify completely each of the following using the properties of logarithms: (a) In (73) (b) log2 (Vts) 7. Without using technology, solve the equation: log(x + 10) - log(x - 5) = 2 years. 8. A population of beetles can be modeled by the equation y = 1000sin (12t)+8000 where ? is in (a) Find the maximum population of beetles. (6) Find the length of time between successive periods of maximum population. 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a function that models the number of fish at any time