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MTH133

Units 3-5 – Individual Project – B

Name:

1) Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work.

Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3.

a)

Answer:

Show your work here:

b)

Answer:

Show your work here:

c)

Answer:

Show your work here:

2) a) Show the steps that you would take to solve the following algebraically:

Show your work here:

b) What potential solution did you obtain? Explain why this is this not a solution.

Answer:

3) 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. Round the answer to three decimal places.

Answer:

Show your work here:

4) Suppose that N=models the number of cases of an infection, in millions, of a disease x years from now.

a) How many cases of the infection will there be 9 years from now?

Answer:

Show your work here:

b) In how many years will there be 5 million cases?

Answer:

Show your work here

5) Consider the function.

a) Find h, the x-coordinate of the vertex of this parabola.

Answer:

Show your work here:

b) Substitute the two integers immediately to the left of h and the two integers immediately to the right of h into the function to find the corresponding y values. Fill in the table below. Make sure your x-values are in increasing order in your table.

x | y |

| |

| |

h=__ | |

| |

| |

c) Use MS Excel or another web-based graphing utility to graph the function by plotting the points found in the table in part b. Read the information in the assignments list to learn more about how to graph in MS Excel.

6) The formula for calculating the amount of money...