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About Scott A Wilson
Expertise
I can answer any question in general math, algebra, complex mathematics, trigonometry, pre-calculus, probability, statistics, ... is there an end to this list?

Experience
Experience in the area; I have tutored people over the years in algebra, basic math, and statistics. I worked at The Boeing Company for over 5 years. Education/Credentials: MS degreee in Mathematics from Oregon State Univeristy; taken well over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors. Past/Present Clients: College Students at OSU, various math people since college, over 700 people in math and calculus.
 
   

You are here:  Experts > Science > Mathematics > Advanced Math > Pre-Calculus

Topic: Advanced Math



Expert: Scott A Wilson
Date: 5/16/2008
Subject: Pre-Calculus

Question
I was wondering if you could help me with a few pre-calc problems that i just
can't seem to get down... the concept to me is more important than the
answers.

1. Given F(X) = [(x-2)(x^2-6x+10)] ÷ 2-x
A) find all points of discontinuity
B) specify the end behavior of F(X) as x approaches infinity and negative
infinity.
C) find the x- and y- intercepts of F(X)
D) Sketch the Graph of F(x)

2. Find all rational irrational and complex zeros : P(x)= 2x^5 + 5x^4-
8x^3-14x^2+6x+9

3. Air pressure (P) decreases exponentially with the height of (h) in meters
above the sea level:

P = P0e^-.00012h             where P0 is the air pressure at sea level.
A) at the top of Mount Mckinley, height 6198 meters, what is the air pressure,
as a percent of the pressure at sea level?
B) The maximum cruising altitude of an ordinary jet is around 12,000 meters.
At that height, what si the air pressure, as a percent of the sea pressure at
sea level


Thanks!  

Answer
1. It almost looks like the problem is
F(X) = [(x-2)(x^2-6x+10)]/(2-x).  

Note that the top and bottom of the fraction can be divided by 2-x, leaving a negative parabola with the criteria that x can't be 2.

2. The first root to be found is 1, so (x-1) factors out.  The next root to be found is 1.5, so factor by (x-1.5).    The next factor to be divided out is (x+3).  Once this has been done, use the quadtratic equation to find the two irrational roots.

3A. Find P0 (air pressure at sea level) and put in 6.198 for h.
3B. Put 12,000 in for h and drop the P0 term.  Multiply by 100 to get the percent.


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