**Solve the problem**

1)The growth in the population of a certain rodent at a dump site fits the exponential function A(t)=708e^0.024t, where t is the number of years since 1988. Estimate the population in the year 2000.

**Solve the equation**

2) 4^(x-3)=25 Round to three decimal places.

**Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places.**

3) $2500 is invested at 5% compounded quarterly. In how many years will the account have grown to $4000? Round your answer to the nearest tenth of a year.

**Solve the problem**

4) Wind speed varies in the first twenty meters above the ground. For a particular day, let f(x)=3.6 ln x +7.4 model the wind speed x meters about the ground. At what height is the wind speed 9 meters per second? Round results to the nearest hundredth.

**Predict the end behavior of the graph of the function.**

5) f(x)= -1.42x^4-x^3+x^2+7

**Use factoring by grouping to solve the equation**

6) x^3+2x^2-36x-72=0

**Use synthetic division to find the quotient and remainder**

7) (2x^3+3x^2+4x-10) / (x+1)

**Determine all possible rational solutions of the polynomial equation**

8) f(x)=2x^3-5x^2+7x-7

**Solve the equation exactly in the complex number system**

9) x^3+7x^2+36x+252=0

**Give the equations of any vertical asymptotes for the graphs of the rational functions**

10) f(x)= 5x^3+4x-9

--------------

x^2+3x-54

**Provide an appropriate response.**

11) If Q varies inversely as the square root of R and Q=3 when R=4, what is Q when R is 16?

Use algebraic and/or graphical methods to solve the inequality

12) (x+7)(x^2-16)>0

13) x+15

------- <4

x+5

Subject | Mathematics |

Due By (Pacific Time) | 04/16/2013 12:00 am |

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