Question

Compute the weighted surface area Are weighed = 1! (x2 + y){FuxF|| Ilu xlv 'weigthed Of the monkey saddle parameterized by: F(u,v)=(u, v,uº – zuv”) where u’+v’s1 This quantity is also known as the moment of inertia of the surface. Spin that monkey! 215-135(1+5/1)

This is what I have done, but that integral isn't solve-able, what am I doing wrong?

Answer 1

Safuc(u) Cu, u auoë), uw<!. Ran ckle Caleolat Co,), 0-312)) - C1,0, 3-302) tae) -Gu - -Catse : a-ab Cat6)2 bz 3y2 (1 l9(u Then u >y

SS Ce , llaA Aso weightal Now R Cutr) dA Cfm Aca weigh d A Use polas coochnetes to toang feom A l. use Uz BCOBO, anl dA= O CuA also u 4uadsants 6f -plane

C o to 2 Suns е нence Nouo fs Ac weighka 211 cdo - ৭ d(G t 36 10-t t=i 10 2T 31Jt CO ) C1olio-) Asea weighted 27