Part 4
| Test 2
| Time: 2 hours
|
- Given the equation,
find the following:
- Amplitude,
- Period,
- Horizontal Shift (phase shift),
- Vertical Shift,
- Domain,
- Range,
- and four points that have a y-coordinate of -11.
- Given that the point
is located on the
terminal side of the angle t, find a point on the terminal side of
the following angles:
- Write
as an algebraic expression in x.
-
- Convert
to radian measure. - Convert 172.3346 radians to degree measure in the
format.
-
- The graph of
is bounded by what two lines? - Why are these two lines considered boundary lines?
- Graph the function and the two boundary lines.
- A man, standing at the base of a building, looks up, with an
angle of elevation of 42 degrees, to the top of the building across
the street that is 2,000 feet high. How far apart are the
buildings?
- Restrict the domain of the function
to an
interval where the function is increasing, and, - Determine
over that interval. - Then sketch the graphs of both f and
on the same
coordinate system. - What relationship do the graphs of these two functions have to
the graph of the function g(x)=x?
- A total of $40,000 is invested for 10 years at 14% per year
compounded weekly. How much interest will be earned during
the 10 years?
- Solve for x in the inequality
- Solve for x:
. Explain
how you checked your answer, step-by-step. - Assume that the world population at time t is given by
.
- How long will it take the world population to double?
- To triple?
- How long will it take for the population to decrease to
one-half?
- Find the rational zeros of
. - Solve the following system of equations for
, and z:
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Thu Jun 19 21:19:04 MDT 1997
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