Recent content by franky2727

simple question, for "find the area of the region between the xy-plane between the curves y=x3 and x=y2 where 0<x<1 , 0<y<1 is this the double integral for x3*y2 dy dx or for the double ingeral between x3+y2 dy dx?? i assume the first one? clarification needed please, can do the rest of the...

∇(∇ * q) does this equal the laplacian or something else?

i think if someone told me what exactly is being multiplies when multiplying dx*dy i might be able to get this now

been looking through some more online examples but to no avail, think I'm getting a little bit closer tho, i believe from the limts we get a "domain" such as this one i found x^2+y^2are smaller than or equal to 9 but bigger than or equal to 4 and yis bigger than or equal to zero, so from this i...

does no one understand this or something?

you have to find an (a,2a,3a) in U and an (x,y,z) in V which add to (b,c,d) well isn't that just a+x=b 2a+y=c 3a+z=d

the region is between the line y=root1-x^2 and y=0 for the y integral and between x=1 and x=-1 for the x integral

quoting you from a previous example on this Here's why you have the bounds you show. The region of integration for the iterated integral in rectangular coordinates was the first quadrant, 0 <= x <= infinity, 0 <= y <= infinity. The region of integration won't change in switching to polar...

so by multiplying the two integrals? we will get between root 1-x^2 and zero? I'm sorry i really really don't even know where were supost to be starting here, are we ment to use the formula? r^2=x^2+y^2 and tantheata=y/x?

can you give a few examples using a mix of rational numbers, pi values and infinty/0 to see if i can figure out what's happening from those transformations?

ok so in this case we get integral of infinity squared and 0 or just infinity and zero but i still don't see how this gives us a line which we can use to get an angle from :S sorry i must be being really slow here, is there anyway you can show it graphically?

so both the integrals are changed together? i don't see how i can get an angle when i just have values of one variable, for instance given the x integral with limits 6 and 1 say, what does 6 and 1 show on the first quadrent graph? surely this is just the y=6 line and the y=1 line? no angles

prove R3=Udirect sum V u={(a,2a,3a)} aER v={(x,y,z)} x,y,z ER x+y+z=0 i solved the first bit UnV=0 but I'm having problems with the R3=U+W bit, my notes say i need to be able to "solve" a+x=b,,,2a+y=c,,,3a+z=d but what does this mean? is this simply putting the b,c,d all equal to one of...

ah, zero rad when working up the y-axis positive part and 90degree of pi/2 when working across the positive x-axis, so because the limit is infinity and zero the area is the whole space so pi/2 and zero. Still think I'm a bit lost, like how do we know were working in the first quadrent ? (x>0...

got stuck on this question but had a pritty good bash at it and might possibly be getting close to the answer right so the question in full is let A={(1,2,1),(2,4,2),(3,6,3)} find r and real invertible matrices Q and P such that Q-1AP={(Ir,0)(0,0) where each zero denotes a matrix of zeros...