ex5_fall11_2313

# ex5_fall11_2313 - Name MAC 2313 Exam 5 Version A SHOW ALL...

This preview shows pages 1–3. Sign up to view the full content.

Name: MAC 2313 Exam 5 Version A 10/31/2011 SHOW ALL YOUR WORK. Answers without procedure will be graded zero. [5] 1.Set up the integral to ﬁnd the volume of the solid bounded by the paraboloid z = 2 - x 2 - y 2 and the planes x = - 1 , x = 1, y = - 1, y = 1 and z = 0. [5] 2. Set up the integral to ﬁnd the volume under a surface z = f ( x,y ) and above the triangle with vertices (0 , 0) , (0 , 1) and (1 , 0). [5] 3. Sketch the region of integration and evaluate (all the way please) the integral Z 1 0 Z 1 y cos( x 2 ) dxdy

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Z 2 0 Z e x e - x f ( x,y ) dydx [6] 5. a) Sketch the polar rectangle R = { ( r,θ ) | π/ 6 θ π/ 3 , 2 r 3 } b) Describe the polar rectangle sketched below, that is, give, α,β,a and b , such that the rectangle is described as: R = { ( r,θ ) | α θ β,a r b } c) Describe the general polar region sketched below, that is, give, α,β,u 1 and u 2 , such that the region is
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

ex5_fall11_2313 - Name MAC 2313 Exam 5 Version A SHOW ALL...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online