Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Evaluating triple integrals: Each of the triple integrals that follow represents the volume of a solid. Sketch the solid and evaluate the integral.

15-20-13dzdydx

Short Answer

Expert verified

The obtained integral is 32.

Step by step solution

01

Step 1. GIven information.

Consider the given information.

15-20-13dzdydx

02

Step 2. Graph the solid.

By using the limits, sketch the given solid.

-1z3-2y01x5

And,

03

Step 3. Calculate the integral.

Integrate by using limit and solve.

15-20-13dzdydx=15-20z-13dydx=15-203--1-13dydx=415y-20dx=4150--2dx=8x15=85-1=32

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free