Recent content by cathal84

Alright thanks guys for letting me know it was long division anyway least i know what has to be done now! ill try figure it out myself :)

Homework Statement Hello, pretty back to basics with this one. How this came about was I am finding the eigenvalues for a given matrix and after forming the characteristic polynomial of the matrix i get this. x^3 - 2x^2 -15x +36Homework Equations Using the rational root theorem i came to the...

I have two questions for you. Typically when trying to find out if a set of vectors is linearly independent i put the vectors into a matrix and do RREF and based on that i can tell if the set of vectors is linearly independent. If there is no zero rows in the RREF i can say that the vectors are...

even if so not sure how this is going to help me, exam even if that is true i don't know how that helps me

i found a directional vector on the line it is <-1,-2,-4> so if i do dot product of that vector with <1,-1/2,0> (i just came up with in my head thinking what vector do i need to have that will give me dot product equal to 0) this will give me the dot product = 0. so can i conclude that the...

Homework Statement find equation of plane P that is perpendicular to line L which passes through the point (-2,-2,3) Homework Equations ... The Attempt at a Solution [/B]line L passes through the points (1,2,1) and (0,0,-3) I have worked out the parametric equations of line L to be x=1-t...

thanks for your reply, thank you this has answered my question

Homework Statement Let f(x, y) = x^2 + kxy + y^2 , where k is some constant in R. i. Show that f has a stationary point at (0, 0) for every k ∈ R Homework Equations ... The Attempt at a Solution I may have the solution or i may have gone completely wrong I am not entirely sure. i first found...

ah yes sorry ill know for next time to put the brackets in thanks for the advice. I don't see why any other numbers would not be in the range besides 0 but then again I'm just looking at where the function is undefined but that's how you define the domain, so i am not sure, think i am just...

Ah right, that makes a lot more senses haha thanks Ray and Replusz for your contribution.

Homework Statement f(x,y) = 1/y^2-x find the domain of f. Given c ∈ R \ {0} find (x, y) ∈ R 2 such that f(x, y) = c. Finally determine the range of f. Homework Equations I know that the domain of the function is anywhere that the function is defined. The Attempt at a Solution in the case of...

still struggling with the question, i don't believe i have come across the concept of a minimal root and can't seem to find it in my textbook, is it possible you could explain further? thanks

thanks for your reply, since it is possible to find the unknown variable, could you possibly point me in the right direction on how to do so?

Finding length of vector with unknown variable. Purely for study purposes. Find the smallest possible length of the vector →v . Let vector V = (-2/3,b,16/7) Equation for finding length of vector : Sqrt(a^2+b^2+c^2)Question would be quite straight forward had there been no unknown variable but...

Hi Doc Al, I am trying to understand the answer that you posted above. F2 = (const)*(1/(R/2))2 = 4*(const)*(1/R)2 = 4*F1 Could you explain why the squared sign is outside the last bracket. Should it not be inside the bracket as it is the distance squared. F2 = (const)*(1/(R/2)2) Also, how...