hi numbergeek

Welcome to the forum.

You cannot do 260 - 260 x 0.25 because it doesn't take account of the bottom square properly. It isn't scaled down. Stick to working out the sloping area first and you should be OK.

Hope that helps,

Bob

Thanks, Bob. That helped me a lot. I hadn't thought about it that way and couldn't figure out what I was doing wrong.

]]>For 2. Bobbym is correct. The mistake you made was to keep track of every single letter when in fact there are a lot of duplicates. In fact, there are four pairs of matching letters, and 2^4 = 16, so you counted each arrangement 16 times. This is why, when you divide your answer by bobbym's, you get 16.

Your method would work if every letter is different, but when there are identical letters you have to divide by the number of identical arrangements..

The best response is can you do it another way and get the right answer?

Well my goal with inifinite limits - actually all limits - is evaluating what happens when you get closer and closer to a certain x and by rationalizing it I get a more basic function which shows me what truly happens at that point.

Maybe the better question is: If I rationalize this function the domain and range of a normal function is lost and a new function appears how can it be that it still hold the proper value that?

]]>I've tried to eliminate them all, and am now getting 2041 as the answer.

Still checking my work, though...

]]>They did not fix the roof, they just moved me across the hall to another apartment. I will be moving my stuff today. Anything left? I will get to it as soon as I get back on online.

]]>Choose B for 8.

]]>I have to emphasize that not only the bases ,but in fact all the 3 sides of the Δs stay parallel . Otherwise if you turn 1 of the smaller Δ by 90 degree anti-clockwisely ( it seems possible ) then only 2 of the 3 sides remain parallel .

]]>for 2c it has to be in equation form, how would i do that ( like variable wise)

For #1 you kind of confused me..

]]>I generated the list of 80730 combinations in M and pasted it into an Excel spreadsheet, which I used for the rest. That was the least time-consuming option for me.

]]>Bamboozled wrote:

2. Find the set of values of k for which the roots of the equation x²+kx-k+3=0 are real and of the same sign.

For real roots we require

For the roots to be of the same sign, their product must be positive. So we want

Hence the set of values we want is