1.Use the compound interest formulas to answer the following question.

How long, to the nearest tenth of a percent is required for an investment subject to continuous com- pounding to triple in 5 years? 


2.The function f(x) = −x2 + 46x − 360 models the daily profit, f(x), in hundreds of dollars, for a company that manufacture x computers daily. How many computers should be manufactured each day to maximize profit? What is the maximum daily profit? 


3.Given sin(θ) = 1/8, 0 < θ < π/2. Evaluate sin(θ + π/3). 


4.Find the domain: f(x) = sin−1(x − 2) 


5.If sin(θ) = a, and cos(θ) = b, represent each of the following in terms of a and b.
a. sin(−θ) − sec(θ)
b. tan(θ) + csc(−θ)