just a quick question:

Consider the solid that lies above the square (in the xy-plane) R=[0,2]×[0,2],
and below the elliptic paraboloid z=49−x2−2y2.
Using iterated integrals, compute the exact value of the volume.

the R in this...is that my bounds?

Question

just a quick question:  

Consider the solid that lies above the square (in the xy-plane) R=[0,2]×[0,2],
and below the elliptic paraboloid z=49−x2−2y2.
Using iterated integrals, compute the exact value of the volume.

the R in this...is that my bounds?

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

yes

ganeshie8 · Answer

R is the shadow of surface `z = f(x,y)` in xy plane

ganeshie8 · Answer

$$\large  V  = \int\limits_{0}^2\int\limits_0^2 49-x^2-2y^2~dx~dy$$

anonymous · Answer

$$\int\limits_{0}^{2}\int\limits_{0}^{2}49-x^2-2y^2$$

anonymous · Answer

forgot the dxdy.  but yeah.  that is an easy problem.  just wasn't sure what the bounds were

anonymous · Answer

thanks!