Recent content by Hogger

Homework Statement If you paint a dot on the rim of a rolling wheel, the coordinates of the dot may be written as (x,y)=(R\theta+Rsin(\theta), R+Rcos(\theta) where \theta is measured clockwise from the top. Assume that the wheel is rolling at constant speed, which implies \theta = \omegat...

thanks, apparently the professor somewhat explained this but I missed it.

Homework Statement Find the inverse Laplace Transform of (9s+5)/(s2-9) given s>3 Homework Equations I have a table of Laplace Transforms. it says "sinh at" goes with a/(s2-a2) and "cosh at" goes with s/(s2-a2) The Attempt at a Solution I know how to split it up and find the...

You went from (tan^2)sec tan to just (tan^2)sec, it should be (tan^3)sec. That doesn't matter though, think about the graph and what the area is doing on the interval (0,1).

I think you need to look at where the arcsin is defined.

I think an even easier way once you find part of the graph is use symmetry. If you can replace theta by negative theta then there is symmetry with respect to the polar axis and the circle is completed.

I don't follow your description of the problem. Is there a picture you can upload? I don't know where the extra triangles are, unless that was a typo in the first line.

can't you just draw an altitude to either side a or c?

could you do 1 + \sum_{i = 2}^{\infty}\left(\frac{i}{3i-1)}\right)^{i} ? I can't think of a series that fits there without just not counting the "first" term.

I think you found the wrong second derivative. What did you do to get that?

is the first term -(4/2)(x^2) or (-4)(x^(2/2))? In both cases you can easily simplify it

This is what I meant.

I meant to compare if one function is equal to another. If you think 2x2 = 2 + x + x, you can check it by letting x = 3. After rereading the op I think I misunderstood what happened. Raizy did you just try simplifying the book's answer or is what you posted an answer you got by yourself?

a quick check is let x = something. I suggest 1 or 0.

While that equation is quadratic in form, for the purpose of the question think of it as x4+ 0*x3+ px2 +0*x+q=0. Do you know any general ways to relate the coefficients of a polynomial with the roots? If you're having trouble try multiplying out (x-a)(x-b)(x-c)(x-d)=0. That will become a...