Project #4487 - College Algebra

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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