In the following exercises, evaluate the triple integrals over the indicated bounded region \(E\).

\(\iiint_{E} y \ d V\), where \(E=\left\{(x, y, z) \mid-1 \leq x \leq 1,-\sqrt{1-x^{2}} \leq y \leq \sqrt{1-x^{2}}, 0 \leq z \leq 1-x^{2}-y^{2}\right\}\)

Text Transcription:

E

\iiint_{E} y d V

E=\left\{(x, y, z) \mid-1 \leq x \leq 1,-\sqrt{1-x^{2}} \leq y \leq \sqrt{1-x^{2}}, 0 \leq z \leq 1-x^{2}-y^{2}\right\}

NORTHCENTRAL UNIVERSITY ASSIGNMENT COVER SHEET Student: THIS FORM MUST BE COMPLETELY FILLED IN Follow these procedures: If requested by your instructor, please include an assignment cover sheet. This will become the first page of your assignment. In addition, your assignment header should include your last name, first initial, course code, dash, and assignment number. This should be left justified, with the page number right justified. For example: Save a copy of your assignments: You may need to resubmit an assignment at your instructor’s request. Make sure you save your files in accessible location. Academic integrity: All work submitted in each course must be your own original work. This includes all assignments, exams, term papers, and other projects required by your instructor. Knowingly submitting another person’s work as your own, without properly citing the source of the work, is considered plagiarism. This will result in an unsatisfactory grade for the work submitted or for the entire course. It may also result in academic dismissal from the University. JTB70138 Gisela Salas, PhD Global Marketing Environment Assignment 8 Faculty Use Only 2 Introduction The changes taking place in the inter