Recent content by bizoid

I'm sorry the question does say find Q(C1), Q(C2), Q(C3). It is from Introduction to Mathematical Statistics by Hogg, Mckean and Craig.(1) Sorry your C1 is correct {(x,y): -1 <= x <= 1, -1 <= y <= 1}. I missed typed. (2) C2 is written correctly. Sorry for being stupid. In regards to C2...

Sorry for being dense. It probably so easy that I missing it. >> You are doing an integrated integral. So my integrands are from [-1,1] ∫ [x,y]∫ x2 + y2 dxdy >> One of your integrals is, for example, integral from x to x of (x^2+y^2)*dy. x=y, so I have [-1,1] ∫ [x,x]∫ x2 + y2 dxdy =...

Sorry for the confusion. The question verbatim from the text is as follows: For every two-dimensional set C contained in R2 for which the integral exists, let Q(C) = ∫∫c x2 + y2 dxdy. If C1 = {(x,y): -1 ≤ x ≤ 1, -1 ≤ x ≤ 1}, C2 = {(x,y): -1 ≤ x=y ≤ 1}, C3 = {(x,y): x2 + y2 ≤ 1}, Find C1, C2...

Homework Statement The question verbatim from the text is as follows: For every two-dimensional set C contained in R2 for which the integral exists, let Q(C) = ∫∫c x2 + y2 dxdy. If C1 = {(x,y): -1 ≤ x ≤ 1, -1 ≤ y ≤ 1}, C2 = {(x,y): -1 ≤ x=y ≤ 1}, C3 = {(x,y): x2 + y2 ≤ 1}, Find Q(C1), Q(C2)...

Reply to replies Thank you both for the reply. I appreciate your help. It sounds like you both recommend to have secondary course texts. (i.e. Spivak Calculus and C. Pugh) You both have me slightly concerned now. I am a motivated student, but from your comments I feel unprepared for...

I will be taking Modern Analysis at Columbia University this summer and would like some suggestions on being as prepared as possible. I have taken: Non-rigorous Calc I, II, III Intro to Probability & Statistics Intro to Linear Algebra Discrete Math I, II Various Computer Science courses...

Thank you for the reply. In regards to your comment, "Also eigen vector approach gives one a better idea of the solutions behavior." Please correct me if I am missing something, but I found the following (on 2x2 systems) to be easier then using eigen value / vector approach. Especially for...

My question is in regards to converting a system of differential equations into a higher order differential equation. I am an undergrad taking diff eq and have just learned the wonders of Euler's method of solving 2nd order differential equations with constant coefficients. It is significantly...