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About Scott A Wilson
Expertise
I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math.

Experience
Experience in the area; I have tutored people in the above areas of mathematics for almost two years in AllExperts.com. I have tutored people here and there in mathematics ever since I received a BS degree almost 25 years ago. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were 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 Oregon State University, various math people since college, over 2,000 people ion the PC from the US and rest the world.

Publications
My master's paper was published in the OSU journal. The subject of it was Numerical Analysis used in shock waves and rarefaction fans. It dealt with discontinuities that arose over time. They were solved using the Leap Frog method. That method was used and improvements of it were shown. The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.

Education/Credentials
Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

Awards and Honors
I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes, I was first. I graduated with well over 50 credits in upper division mathematics.

Past/Present Clients
My clients have been students at OSU, people nearby, and friends with math questions, and several people every day on the PC. Just like you.

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Advanced Math - urgent math

Expert: Scott A Wilson - 11/3/2009

Question
Hey there I have a test tomorrow nigh for Calc and I just can't seem to get the answers for these questions, i've been trying hard, but always come out wrong. Please reply by tomorrow any time if you can it will be GREATLY appreciated. PLEASE IF YOU CAN"T GET ALL SHOW ME HOW TO DO ANY THAT YOU CAN DO. IF YOU THINK ITS TOO MUCH PLEASE DO WHAT YOU CAN.

1.A baseball diamond is a square with side 90 ft. A batte1r hits the ball and runs toward first base with a speed of 22 ft/s.

a)At what rate is his distance from second base decreasing when he is halfway to first base?

b)At what rate is his distance from third base increasing at the same moment?

2.Whats the 30th derivative of cos(2x)?

3. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle x with the plane, then the magnitude of the force is given by the following equation, where μ is a constant called the coefficient of friction.

μW / μsin(x)+cos(x)

a.Find the rate of change of F with respect to x.

b.When is this rate of change equal to 0?

c.If W = 60 lbs and μ = 0.8, draw the graph of F as a function of x and use it to locate the value of x for which dF / dx = 0. (Round the answer to two decimal places.)

4.Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 49 cm^2? (in cm^2/s)

5.Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates 14C through food chains. When a plant or animal dies, it stops replacing its carbon and the amount of 14C begins to decrease through radioactive decay. Therefore, the level of radioactivity must also decay exponentially. A parchment fragment was discovered that had about 74% as much 14C radioactivity as does plant material on Earth today. Estimate the age of the parchment in years.

6.If h(x) is given below, where f(3) = 7 and f '(3) = 5, find h'(3)

h(x)=sqrt(7+6f(x))

7.Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 300 cm3, the pressure is 150 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant? cm^3/min

THANKS SO MUCH! George

Answer
1a) Make one side of a right triangle as the rest of the way to first d.
Make the other side the path to second s. Make the hypoteneuse the distance to second c
Known: d²(t) + s² = c²(t). Differentiate and put in values. Note that the derivativce of s² is 0.

Draw a square with home, 1st, 2nd, and 3rd.
Note the distances as related to a right trianlge.
Use the pythagoream theorm for distances.

Note which distances are functions of t.
The rest of the distances are 0.

2) If f(x) = cos(2Θ), the 30th derivative is -1,073,741,824cos(2Θ) since that number is 2^30.
It is even, so the function would be a cos(). mod(30,4) = 2, so it's negative.

3) I'd have to think awhile on that one.

4) If A is area and s is the length of a side, A = s².
We have A(t) = s²(t), so dA/dt = 2s(t)(ds/dt).
Note thtat s is 7 and ds/dt is 8.

5) 0.74 squared is a little more than a half, so the age is a little less than 5,730.

6) h'(x) = 6f'(x)/(2√(7+6f(x)) - put in the values at x - 3.

7) Since PV = C, it is really P(t)V(t) = C, so take the derivative (product rule).
Put in the three parameters and solve for the 4th.

If you need more help, work on them and write back. That's all I've time for right now.

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