Recent content by Rosebud

Homework Statement Prove by Strong Mathematical Induction[/B] Homework Equations N/A The Attempt at a Solution The steps to solving this problem are shown below. I understand all steps of the problem until the part where it says 44/49 becomes 49/49 since 44 < 49. Can someone please explain...

Hello, and thank you for the response. I have E-mailed my instructor and he hasn't responded yet.

Homework Statement A small purse manufacturer has a single machine that makes the metal parts of a purse. This takes 2 minutes. Another single machine makes the cloth parts in 3 minutes. Then it takes a worker 4 minutes to sew the cloth and metal parts together. How long will it take to make 6...

Thank you both for your time and effort. I can finally go to sleep now, lol.

Is this logic correct, (-)2^(1+5/2) = (-)2^(2/2)+(5/2) = -2^(7/2)? Can I do that with the negative sign? It doesn't seem like I can.

Homework Statement How does -2^(5/2) -2^(5/2) = -2^(7/2)? Homework Equations I've integrated a problem down to this and I know that the answer is -2^(7/2). Unfortunately, I've forgotten the algebraic steps required to get it into that form. The Attempt at a Solution I'm totally lost.

Yes, I know substitution. You asked me if I knew the method of substitution, which I understood as, you asking if I knew which method of substitution that I should use.

That helped immensely. Thank you so much. I forgot that I could use substitution more than once.

Numerator? There is no fraction here unless you you consider 1 as the denominator.

Thanks for the tip. I did that but I still fail to see the connection. Can you, or someone else, give me the next step?

No.

The derivative of 1+u^2 with respect to u is 2u du. I know the answer is (1/3)(1 + u^2)^(3/2) but I don't know how to find it.

Homework Statement How does one integrate u√(1+u^2) du?Homework Equations Forget what u is being substituted for. It doesn't really matter right now. I just need to integrate what is typed above. The Attempt at a Solution I am completely lost and not sure what to do.

There are eight octants. I'm not sure about quadrants. EDIT: OK, I understand now. Thank you.

How do I find all the different combinations of the point (x,y,z) when x,y, and z can be either positive and negative? For example, what I'm trying to solve is (+,+,+), (+,+,-), (+,-,-), etc. How do I find out how many different points there are and the sign of each variable for each distinct...