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Unformatted text preview: d using calculus. It
can be used to find the minimum amount of time
required for the triathlete to reach the finish line.
Simplify the expression. 8x 342 2 2x
1
1 12 9 313x x 2x
3x 2x Page A76 Review of Fundamental Concepts of Algebra x 56. 58. 34 11 54. 2x
55. 2:22 PM x 3n y 2n 2 68. x n xn yn 2 70. 2n x 2n x 3n
x 3n x 2 x 2n n 2x 2n 2 x 5n
x 3n x2 71. Think About It You are taking a course in calculus,
and for one of the homework problems you obtain the
following answer.
1
2x
10 1 1
2x
6 52 1 32 The answer in the back of the book is
2x 1 3 2 3x 1 . Show how the second answer can
be obtained from the first. Then use the same technique to
simplify each of the following expressions. (a) Find the times required for the triathlete to finish
when she swims to the points x 0.5, x 1.0, . . . ,
x 3.5, and x 4.0 miles down the coast. 1
15 (b) Use your results from part (a) to determine the distance down the coast that will yield the minimum
amount of time required for the triathlete to reach the
finish line. (a) 2
x 2x
3 (b) 2
x4
3 3
x 32 32 2
2x
15
2
4
15 3
x 52 52...
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 Summer '08
 NOONE
 Calculus, Algebra

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