Recent content by Sczisnad

Homework Statement Ok, I wanted to calculate the sums of the areas of inscribed petagons into an initial pentagon (the smaller pentagon's vertices touch the larger pentagon's midpoints). However, I wanted all of the even pentagons to create negative space, and then the odd # pentagon after...

http://imageshack.us/photo/my-images/101/exly.jpg/ I got the same by estimating

opse sorry, when i was calculating it, I used a factor of 1/2 for shrinking the squares. However if that causes the squares to overlap I would like to find out what the minimum rate of size decrease is.

http://imageshack.us/photo/my-images/835/mathproblem.jpg/ I was thinking of an interesting shape (I drew it in paint for help), and if it would be possible to find the area of it. I started to write a series to represent the area but ran into trouble because I think that parts of the snowflake...

Homework Statement integral ln(2x+1)dx Homework Equations N/A The Attempt at a Solution I tried integration by parts, Let u = ln(2x+1), dv = dx, du = 2/(2x+1)dx, v = x ln(2x+1)dx = ln(2x+1)*x-(integral)x*(2/(2x+1))dx

Ah that makes more sense, so all that I would have to do then is find the limit as x approaches 1 of ax^a-1/bx^b-1 which is a/b. so a/b is my answer.

Homework Statement Use l'Hospital's Rule when necessary (you may not need to use it at all). Find the limit. lim as x approaches 1 of (x^a-1)/(x^b-1) Homework Equations The Attempt at a Solution Ok well, if you sub in 1 for all the x values you get an indeterminate 0/0 i...

Homework Statement * Show that the equation 2x-1-sinx=0 has Exactly one real root. Homework Equations *N/A The Attempt at a Solution *Ok so normally to find the real roots for x I would solve for x when I set the function equals to 0, but with this function there is an x...

I am having some issues with going about finding the max and min of trig functions over a set interval. Normally with finding the max and min of a function over an interval the first thing that I do is find the derivative of that function, Then i set the derivative to 0 and solve to find the...