Recent content by dietcookie

I can't for the life of me figure out where C_{0} went. I scanned my work here..I've looked back and forth through my book and other texts, it always seems like all the coefficients are accounted for and/or they equal zero. As it stands, I only have C_{1} Thanks! Full size...

Ok maybe I just figured it out, since x2 and x3 are equal to zero, does that mean that x1 is free? That seems to make sense, but how can it be free when it's coefficient is zero?

Homework Statement Find the Eigenvector of the matrix.Homework Equations Ax=λx A= [2 0 1] [0 3 4] [0 0 1]The Attempt at a Solution Ok I'm just having a major brain fart here, been doing this all day. For λ=2, I solved for x and get this solution, [0 1 0][x1] [0] [0 0 1][x2]=[0] [0 0...

Homework Statement Homework Equations The Attempt at a Solution Is this the correct equation to find the current (I)? I setup a free body diagram for bar 2, TCos(24)-(.036kg)(9.8m/s^2)=0 (for y) -TSin(24)+ (Eqtn for force between two parallel wires but with the current squared) (for x)...

Homework Statement Assume that a, b, and c do not equal zero. Let matrix A= 0 a b -a 0 c -b c 0 Prove that Rank(A)=2Homework Equations Definition: The rank of a matrix A is the number of linearly independent rows or columns of AThe Attempt at a Solution I've attempted to get it into reduced...

I'm having a hard time grasping this, am I going about this the right way? In the counterexample, it seems to me that they verified axiom 1 failed, A and B are in the set (of singular matrices) but A+B is not in the same set (because it is singular?). Is that all it is? Because A+B is...

Homework Statement Determine whether the set, together with the indicated operations, is a vector space. If it is not, identify at least one of the ten vector space axioms that fails. "The set of all 2 x 2 singular matrices with the standard operations." Homework Equations...

Another basic question, so the general idea is to stick a 'u' where there is a 't' in the original function and integrate with respect to 'u', and make a secondary substitution as I did if it's needed?

Thanks, basic integration mistake!

Getting the "Arc Length Function" Homework Statement I have two problems scanned, one is an in class example and one is from the homework. The book uses the standard arc length of a curve equation to get the answers. Later in the same chapter they introduce the Arc Length Function, using 's'...

Another ...Representing a curve with a vector valued function Homework Statement Find the vector-valued function that represents the curve of intersection between the following surfaces: 1) z=y6 , x=z1/3 2) z=ex , x=y4 Homework Equations The Attempt at a Solution...

I understand the identity sin(t)=cos[(pi/2)-t], but I really don't see why using either parameters x=2sint or x=2cost is equivalent. The book wants me to use x=2sint, wouldn't the equivalent then be actually x=2cos([(pi/2)-t]) ? Thanks

Homework Statement See attached image Homework Equations The Attempt at a Solution Why use x=2sint?? Would it be incorrect to use the x=2cost (versus the given x=2sint)? My professor instructed us to not use the given parameters in the book and to come up with our own, and I...

Yep that's most definitely embarrassing! Thanks!

Homework Statement Find the derivative of the function. f(x) = \frac{cotx}{sinx}Homework Equations \frac{cotx}{sinx} = \frac{cosx}{sin^{2}x} The Attempt at a Solution I have the solution guide, I think I'm just having a brain fart but this is what I have so far which is the last step before...