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January 26th, 2009, 07:06 PM   #1
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Help on some questions

Need help on these questions, been working on this assignment for awhile now but have no idea how to solve these. Its due tonight so please respond soon. Also could you help explain how to solve?

1.Find a function whose graph is the given curve.
The bottom half of the circle x2 + y2 = 81

2.According to the Theory of Relativity, the length L of an object is a function of its velocity v with respect to an observer. For an object whose length at rest is 11 m, the function is given below, where c is the speed of light.
a) Find L(0.1c), L(0.62c), and L(0.82c).

3. Use the function to evaluate the indicated expressions and simplify.
f (x) = 15x - 45

f (x/3) =
f (x)/ 3 =

4. Use the function to evaluate the indicated expressions and simplify.
f(x) = -3x - 9

f(x2) =
(f(x))2 =

5.Use the function to evaluate the indicated expressions and simplify.
f(x) = -5x2 + 6

f(x + 2) =
f(x) + f(2) =

6.Complete the table of values for the following function.
f(x) = -(8x) / sq rt x

-2
-1
0
1
2
3
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January 27th, 2009, 11:15 AM   #2
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Quote:
Originally Posted by blackobisk
1.Find a function whose graph is the given curve.
The bottom half of the circle x2 + y2 = 81


Quote:
Originally Posted by blackobisk
2.According to the Theory of Relativity, the length L of an object is a function of its velocity v with respect to an observer. For an object whose length at rest is 11 m, the function is given below, where c is the speed of light.
a) Find L(0.1c), L(0.62c), and L(0.82c).
You didn't give the function, but substitute into it each value given.

Quote:
Originally Posted by blackobisk
3. Use the function to evaluate the indicated expressions and simplify.
f (x) = 15x - 45

f (x/3) =
f (x)/ 3 =
For the first, replace x with x/3 in the equation you were given. You should be able to manage the slight simplification that is then possible.
For the second, divide both sides of the equation you were given by 3.
Question 4 can be done similarly.

Quote:
Originally Posted by blackobisk
5.Use the function to evaluate the indicated expressions and simplify.
f(x) = -5x2 + 6

f(x + 2) =
f(x) + f(2) =
Evaluate f(x + 2) by replacing x with x + 2 in the equation given.
Evaluate f(2) by replacing x with 2 in the equation given. Now f(x) + f(2) is obtained by adding the result to the right-hand side of the equation given for f(x).

Quote:
Originally Posted by blackobisk
6.Complete the table of values for the following function.
f(x) = -(8x) / sq rt x

-2
-1
0
1
2
3
Enter -8(x)/sqrt(x) into Google, replacing x with, successively, each of the values given (except zero).
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