Double Integrals Over Non-Rectangular Regions Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Sketch the region and compute the iterated integral over the non-rectangular region given

(2) Sketch the region and compute the iterated integral over the non-rectangular region given

(3) Sketch the region and compute the iterated integral over the non-rectangular region given

(4) Sketch the region and compute the iterated integral over the non-rectangular region given

(5) Sketch the region and compute the iterated integral over the non-rectangular region given

(6) Sketch the region and compute the iterated integral over the non-rectangular region given

(7) Sketch the region and compute the iterated integral over the non-rectangular region given

(8) Sketch the region and compute the iterated integral over the non-rectangular region given

(9) Sketch the region and compute the iterated integral over the non-rectangular region given

(10) Sketch the region and compute the iterated integral over the non-rectangular region given

(11) Sketch the region and compute the iterated integral over the non-rectangular region given

(12) Find the volume of the solid bounded by (Setup but do not evaluate the double integral)

(13) Find the volume of the solid that lies inside both the cylinder and the sphere . (Setup but do not evaluate the double integral).

(14) Sketch the region of integration and write an equivalent integral with the order of integration reversed for

(15) Sketch the region of integration and write an equivalent integral with the order of integration reversed for

(16) Sketch the region of integration and write an equivalent integral with the order of integration reversed for

(17) Sketch the region of integration and write an equivalent integral with the order of integration reversed for

(18) Sketch the region of integration and write an equivalent integral with the order of integration reversed for

(19) Evaluate where is the triangular region in the -plane with vertices and

(20) Evaluate where is the triangular region in the -plane bounded by the lines and

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Double Integration Over Nonrectangular Regions Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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