Recent content by xipe

Thank you for the timely reply. I like what I have read from that link you posted, but I am unsure how to derive the solutions from a system of 3 DE's. I am just about half-way through my diff eq class and we haven't gotten so far as to attempt something like that. Any pointers would be greatly...

Homework Statement The election for mayor is coming soon in the small town of Ecolopolis (population 5000).The two candidates are Aaron Aardvark and Paula Platypus. Paula Platypus currently has a big lead, with 80% of the population ready to vote for her. As usual, the politics turn ugly. Five...

Homework Statement Use the given info to find matrix B Homework Equations (I + 3B)^-1 = [5 2; 4 2] to make more clear: inv(I + 3B) = this 2x2 matrix: top row = 5 2, bottom row = 4 2 The Attempt at a Solution I tried multiplying both sides of the eqn by I + 3B to get I = [5 2; 4...

Would that length be sqrt(z^2+sqrt(x^2+y^2))? I apologize for all of the questions and greatly appreciate all of your help.

That's what I thought originally, but wouldn't that give you a cubic volume when you integrate it? I'm missing something, otherwise the integrand should just be dxdydz? And to find the average value, the volume of the region of integration is another confusing thing to figure out.

So if I used Cartesian coords, would it just be 0<=x<=8,0<=y<=10,0<=z<=slope of the hypotenuse from the top of the pole to out outskirts of the blanket? My difficulty is accounting for the shape of the area of integration.

Homework Statement A 12 foot light pole stands at the corner of an 8 foot by 10 foot rectangular picnic blanket spread out on the ground. A bee flies in a straight line from a point P on the pole to a point Q on the blanket. Set up a multiple integral whose value represents the average length...

Thank you for the reply. I spend way longer than I should have on this problem. I thought it was more complicated than this, so I am happy that the solution was easier than expected. Cheers! :)

Homework Statement Suppose W is the region inside the cylinder x^2+y^2=a^2 and inside the sphere x^2+y^2+z^2=b^2, where 0<a<b. Set up an iterated integral for the volume of W Homework Equations x^2+y^2+z^2=b^2 x^2+y^2=a^2 0<a<b The Attempt at a Solution I converted to cylindrical coordinates...