Recent content by Tarhead

I am having problems with solving systems of differential equations. x'= [(-3 ) (gamma)]x ...[ ( 6 ) ( 4 ) ] I am supposed tofind the interval of values of gamma for a) stable focus and b) stable node. I started by [(-3-r) (gamma)][x1] = [0] [( 6 ) (4-r ) ][x2]...[0] det(A-rI)...

I am having problems with solving systems of differential equations. x'= [(-3 ) (gamma)]x ...[ ( 6 ) ( 4 ) ] I am supposed tofind the interval of values of gamma for a) stable focus and b) stable node. I started by [(-3-r) (gamma)][x1] = [0] [( 6 ) (4-r )...

the problem is fin the general solution of the differential eq : y''+y=2sect + 3 (-pi/2 < t < pi/2) using variation of parameters. I just needed a check to make sure my answer was correct. r^2+1 = 0 r= -i r= i y1= cost y2= sint g(t)= 2sect+ 3 y(t) = c1cost + c2sint + Y(t)...

How do I express this in polar coordinates? (x-h)^2+(y-k)^2= h^2+k^2 It is a circle with k and h greater than 0.

Thanks for the help. I have problems with finding the intersection and projecting that on the x-y plane. We cannot use graphing calculators. Are there any easy ways to sketch the functions and/or find the intersection?

I have a group of problems that deals with the equations: f(x,y)= x^2+y^2 g(x,y)=20-(x-4)^2-(y+2)^2 Can someone help find the triple integral to find the volume.

I have a group of problems that deals with the equations: f(x,y)= x^2+y^2 g(x,y)=20-(x-4)^2-(y+2)^2. I know that the surfaces z=f(x,y) and z=g(x,y) intersect in a closed curve, C, and the projection of C onto the xy-plane is a circle. However, I am having trouble finding its...