Recent content by jtyler05si

So I am a mechanical engineering student and working on a project. The premise of this project is that there is a mechanical system that outputs anywhere from 300 to 1500 Watts of mechanical power and I want to convert that into electrical power and store it into powerpacks (deep cycle batteries...

haha I agree. My earlier statement about the degree not always being one less is relative to that exact term. The way Mark is explaining is probably more correct in that the degree of the top is always one less than that of the linear polynomial in this case. My explanation was probably...

Use integration of inverse trig functions.

I don't believe so. Again the y and z terms would be constant. So any value for {n} can be chosen. Your point would be (n,-1,2)

Oh and as for the reasoning behind having (x+2)1+...+(x+2)3 in the denominator, as far as I understand it is that we don't know what contributed to get the end product of (x+2)3 so you have to include every possible way (different combination of those three above.) The problem works itself out...

Not necessarily. It is true until you get something with a multiplicity greater than one; as in your case. Normally, yes you would break everything into separate pieces, and if they are all different then the numerator will follow that pattern. Special cases arise when you have more than one of...

To me that would mean the z-value is constant and also the y value. You can pick any point for x

What's the square root of x^2? that will make it a little simpler.

also is that 5sqrt(x^2) or (5sqrt(x))^2 or what? because that should simple things out for you.

Both ways are correct. Either do product rule inside of Quotient or do Product then do Quotient. Both will be potentially messy.

when you took the derivative of the Volume function and set it equal to zero you are finding a critical value. There are a couple ways to test whether it is a local min or max. The second derivative test is one of them. note: I have to check your derivation; not that I am doubting it or anything.

You could use the ratio test on the original problem; remember when using the ratio test you are taking the limit of the abs value of your function. You could also use the squeeze theorem along with the comparison test.

i agree. To find the equation of the curve you will be doing some integration.

Have you tried anything yet?

I don't understand [omega]^2/time. Angular acceleration is the derivative of angular velocity wrt time... knowing that the angular velocity is also the change in angle (theta) wrt time... you can get that our angular acceleration is the second derivative of our position(in terms of...