Recent content by BrendanH

The deluge of responses has me chagrined! It is irrelevant that B would be the null set, as the above demonstration is just supposed to exemplify that it CAN be ordered in another way, irrespective of its number of members. The rationals and reals can but be ordered in one way, so in particular...

Homework Statement Find a field that is an ordered field in two distinct ways. Homework Equations The set F of all numbers of form r + s√2 , where r,s ε Q and the operations of addition and multiplication are those of the real number system ℝ of which F is a subset, is an ordered field...

Looks good to me

Okay, I'll warn you that if you don't clean this up you'll get reamed! You're given a function. Let's call it f(x) and define it to be equal to (x+2)^2(x-3) Now you're asked to take the inverse. Do that. There is one REAL value of x for which the inverse is undefined. This should be...

There is an error in the second part e^(ln(2x+1)) = e^((2-ln(x)) 2x + 1 = e^(2/x) These are NOT equivalent. Remember that you can only turn logarithmic expressions into quotients of logarithms in a case like this: ln z - ln x = ln (z/x) Try again using that info.

A few questions for you: 1) What level of study are you at? (This will help the community identify what is likely the desired answer) 2) Were you given any other information in this problem?The reason I ask is that, if one assumes that temperature change in this problem is linear, then the...

The time must be greater, not smaller...

Are you still looking for help on this one? Hint: this is a very straightforward case of sum-to-product substitution

Why would you not be able to get a solution just because this is from the book?

You are definitely correct. As for the facility with which you did this problem, you're just a superstar at this stuff ;) Sometimes profs will toss in easy questions to discern who has, at least, a basic command of the principles involved from those who don't even know what an integrand is.

Tiny Tim is right to point this out. But the explanation for a general rule of a difference of this sort is in line, for learning purposes of course ;) If you have an equation of the above kind e.g. (a+b)^n - (a-b)^n , an expansion shows that there will be n+1 terms for (a+b)^n and (a-b)^n...

Why do you need an integer at the end? Is this a part of the question that hasn't been specified? ?

Besides, we're dealing with polynomials in the case of (a+b)^n

Dick speaks the truth. It is quite common to encounter a system like this that can be solved by 'back-substitution'. Since you've probably not learned about them yet, matrices are how you would normally handle a system of equations such as this one.

119 = 6!/3! - 1 ;)