1. Simplify and write the trigonometric expression in terms of sine and cosine:(1cos)(1+cos)=(())2

2.Let the functionbe defined by

()=8+8.

Then(9)+(2)= and(9+2)=

3.Write the expression as an equivalent expression in the form. Simplify your answer as much as possible, and enter your answer as a fraction: 16=for=

4.) Evaluate the following expressions for,=3andwithout using a calculator. Simplify your answers as much as possible, and enter your answers as fractions:

=
()	=
=

5. Are the functions given below exponential functions?

? Exponential function Not an exponential function 1.=124

? Exponential function Not an exponential function 2.=1412

? Exponential function Not an exponential function 3.=124

? Exponential function Not an exponential function 4.=3+2

? Exponential function Not an exponential function 5.=2/0.2

? Exponential function Not an exponential function 6.=0.530.75

6. Is the function below exponential?

()=(45)3

If so, write the function in the form()=and enter the values you find forandin the indicated blanks below. If the function is not exponential, enterNONEin both blanks below. = =

7. In 2005, Bhutan had a population of about2200000and an annual growth factor of1.0211. Let()be the populationyears after 2005 assuming growth continues at this rate. (a) Write a formula for().

=()=

According to your formula, what will the population of Bhutan be in2008?

8.Put the function()=27618in the form()=+.

()= +( )x

9.

=	0	1	2	3	4
()=	13	11.7	10.53	9.477	8.5293

Determine whether the function whose values are given in the table below could be linear or exponential.

Find a possible formula for this function.

()=

10. Determine whether function whose values are given in the table below could be linear or exponential:

=	0	1	2	3	4
()=	16	11	6	1	-4

Find a possible formula for this function.

()=

9. Find a formula for the exponential function that satisfies

(3)=12and(6)=4.116

()=

10.A car leaves a town at 80kilometers per hour. How long will it take a second car, traveling at 35kilometers per hour, to catch the first car if it leaves 1hour later?

Amount of Time (in hours)=

11. If 32700 dollars is invested at an interest rate of 6 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.

Annual:

Your answer is

Semiannual: Your answer is

Monthly: Your answer is

Daily: Your answer is

Continuously: Your answer is

12.In 2010, the population of a country was 77million and growing at a rate of1.1% per year. Assuming the percentage growth rate remains constant, express the population,, in millions, as a function of, the number of years after 2010.

=()=

13.Rewrite the following statement using exponents instead of logs. Fill in each blanks with the appropriate letter or number in order to correctly complete the expression.

log1040.6021is equivalent to:

The base ?raised to the power of?approximately equals?

13.

Iflog4=2, then=

Iflog7=4, then=

14.Solve the following equation for:

85=90

15.If()=22and()=+4, find()(3)and()(1).

)(3)=

)(1)=

16.Use substitution to compose=22+3+4and=42. Enter your answer as an equation, and simplify your answer as much as possible.

17.Solve the equation4=80(1.1)forusing logs.

x=

18.Find the half-life of an element which decays by 3.401% each day.

The half-life is ? days

19.Decide whether the following table appears to represent a periodic function. If so enter the value of its period in the blank. If the table does not appear to be periodic enter NONE.

	0	2	4	6	8	10	12	14
()	0.9	8.5	-0.5	0.9	8.5	-0.5	0.9	8.5

The period is?

20. Find the arc length corresponding to the given angle (in degrees) on a circle of radius 7.5.

An angle of35has an arc length of? units