Unformatted text preview: MA 242-005, Spring 2011 Practice Test 3 Name: I. Set up but do not solve the integral required to compute each quantity. Be sure to show the limits and order of integration. Note that some problems may have several correct answers. (Give one.) 1. The volume of the cube [ a,b ] × [ c,d ] × [ r,s ]. 2. The area of the region bounded by y = x and y = x 2 . 3. The volume of the solid under the surface z = xy above the region between y = x 2 + 1 and y = 0 from x = 0 to x = 3. 4. The volume of the portion of the sphere of radius 2 centered at the origin inside the cylinder x 2 + y 2 = 1. 5. The triple integral of f ( x,y,z ) = x 2 + y 2 +5 z on the solid region above z = x 2 + y 2 and below z = 4. 6. The triple integral representing the volume inside the unit sphere x 2 + y 2 + z 2 = 1 in (a) rectangular coordinates. (b) cylindrical coordinates. (c) spherical coordinates. II. Calculate the following integrals....
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This note was uploaded on 09/18/2011 for the course PY 208M 87878 taught by Professor George during the Spring '09 term at N.C. State.
- Spring '09