Two angle are supplementary if they add up to 180 degrees

Thus,

Solution:

6. Find the angle t such that t and the angle 150 50' 23'' are supplementary.

Mathcad Solution:

Solution:

5. Find the solution of the equation

Mathcad Solution

Solution:

4. If , find

Therefore, the range is È

or

or

or

Let

Solution:

(Hint: simplify, then factor)

8. Solve for x

Solution:

7. Let x and y be positive real numbers. Write down the following as a single logarithm:

t = 180 00' 00'' - 150 50' 23'' = 179 59' 60'' - 150 50' 23'' = 29 09' 37'''

Table 1

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x

So, in the interval there is on zero at x = 0.

The zero at and are not included since the interval is an open interval.

Figure 1 shows the graph of the function.

zero of the

function are at

Table 1 gives the zeros of the function for some choices of n

The zero of tan(x) is at multiples of p. Thus,

Solution:

1. Find the number of zeros of the function in the interval .

Answer All Questions! Show all your work!

July 17, 2004

Major Quiz 7

Math002-033 A. Farhat

or

Domain = R

Solution:

3. Find the domain and range of the function

What is the period of the function?

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interval of interest

Phase shift =

The actual period is because of the absolute value.

The associated function is:

Solution:

for

2. Graph the function

Figure 1