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Algebra Review 1 - Assignment#1 - $2.00 Algebra Review 1 - Assignment#1 - $2.00

Date added: 01/21/2017
Date modified: 01/21/2017
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Option #1 Algebra Review #1

 1.    1.   Rationalize the Denominator



2.       2. Simplify the expression. Write your final answer in terms of positive exponents only


       3.     Multiply and simplify the expression by combining the like terms:


4. 4.   Factor the following: -36x^2 +5x + 24

5. 5.       Solve the following for x: 3x2 – 7 = 0

Alegbra Final Exam part 1 - $4.00 Alegbra Final Exam part 1 - $4.00

Date added: 11/04/2013
Date modified: 11/04/2013
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1.       Find the product: (6-2i)(4-8i)

2.       Divide and express the result in standard form: 2i / (7 – 8i)

3.       Evaluate x2 – 5x + 4 for x = 8 + i

4.       Draw the angle in standard position. State the quadrant in which the angle lies. Work the exercise without converting to degrees. (-7π/6)


5.       Find a positive angle less than 2π that is coterminal with the given angle (10π/3)

6.       Find the measure of the side of the right triangle whose length is designated by a lowercase letter b. Round answers to the nearest whole number.

7.       A tower that is 110 feet tall casts a shadow 130 feet long. Find the angle of elevation of the sun to the nearest degree.

8.       Find the exact value of each of the remaining trigonometric functions of θ.

cos(θ) = (3/4), 270o < θ < 360o

9.       Find the exact value of following expression. Write the answer as a single fraction. Do not use calculator.           sin(5π/6)cos(2π) - cos(5π/6)sin(3π/2)


10.   Because the values of circular functions repeat every 2π, they are used to describe things that repeat periodically. For example, the maximum afternoon temperature in a given city might be modeled by the formula below. In the formula, t represents the maximum afternoon temperature in month x, with x = 0 representing January, x =1 representing February and so on.                                      t = 15 – 10cos(xπ/6)

11.   Find the amplitude, period and phase shift of the function. Graph the function. Show at least one period.                                                 y = 3sin(2x – π)

12.   Use a vertical shift to graph one period of the function.                 y = -3sin(2πx) + 1


13.   Find the exact value of the following expression.                              Cos-1(-1/2)

14.   Use a sketch to find the exact value of the following expression.                              sin[cos-1(1/2)]

15.   Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function. 



16.   Find the length x to the nearest whole number.


17.   Verify the identity          

18.   Verify the following identity.


19.   Find the exact value of the expression cos(α+β), sin(α+β) and tan(α+β) under the following conditions:

sin(α) =40/41, α lies in quadrant I, and  sin(β) = 15/17, β lies in quadrant II

20.   Use the figure to find the exact value of the following trigonometric function.   cos(2α)

21.   Find all solutions to the following equation:  4sin(θ) – 1 = 2sin(θ)

22.   Find all solutions in the interval [0,2π)

MTH133 Unit 4 Group Project - $4.00 MTH133 Unit 4 Group Project - $4.00

Date added: 01/30/2011
Date modified: 01/30/2011
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1) Decide on a name of a rural town.  Name of town:  _______________
2) Decide on an initial population,  , of the town in the year 2010. Choose an initial population between 1000-5000. Use this value of   for each of the scenarios.   P0 =  ___________
3) You will investigate four different scenarios of population growth or decline in this town.
  -Linear growth
  -Growth modeled by a quadratic equation
  -Growth modeled by a radical equation
  -Population decline modeled by a rational equation

Home builder - $4.00 Home builder - $4.00

Date added: 01/26/2011
Date modified: 01/26/2011
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1) Insert the chosen values for "p" and "a" into the formula listed above.
2) Use the formula to find the number of homes built, H, at any three values of time, t, in years that you want. Show your calculations and put units on your final answer!.
3) Provide a written summary of your results explaining them in the context of the original problem. If you were a home builder, would you be interested in continuing to build homes in this market over the long run? Explain why or why not.

Unit 5 - $4.00 Unit 5 - $4.00

Date added: 01/26/2011
Date modified: 01/26/2011
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The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 500 cm3. - Suppose that N=sqrt(x)+3 models the number of cases of an infection, in millions, of a disease x years from now. How many cases of the infection will there be 9 years from now?- Find h, the x-coordinate of the vertex of this parabola F(x) = x^2+6x-2. - Calculate the return (A) if the bank compounds monthly (n = 12).- A commonly asked question is, “How long will it take to double my money?” At 7% interest rate and continuous compounding, what is the answer?

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