/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q44P Find the mass of the solid in Pr... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q44P (page 248)

Find the mass of the solid in Problem 42 if the density is proportional to y.

Short Answer

Expert verified

The required Mass of the solid is73K .

Step by step solution

01

Definition of Mass

Double integraloff(x,y)over the areaA in theplane (x,y)as the limit of this sum, and write it as鈭�Af(x,y)dxdy .

02

Finding the Mass

The given planes are,z=2x+3y+6aand z=2x+7y+8.

Consider the density to be蚁=Ky and find the value of the mass.

M=鈭�V蚁dV=K鈭�01dx鈭�01ydy鈭�2x+3y+62x+7y+8dz=K鈭�01dx鈭�01ydy(4y+2)

The final value is obtained use it for further calculation.

M=K鈭�01dx鈭�01dy4y2+2y=K43y3+y201=73K

Therefore, the value of the Mass is 73K.

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 91影视!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

In Problems 17 to 30, for the curve y=x, between role="math" localid="1658830478813" x=0and x=2,

find:

The centroid of the surface area.

鈭�(9+2y2)-1 over the quadrilateral with vertice(1,3),(3,3),(2,6),(6,6)

In Problems 17 to 30, for the curve y=x, between x=0and x=2, find:

The mass of the solid of revolution if the density (mass per unit volume) is |xyz|.

In Problems 17 to 30, for the curve y=x, betweenx=0and x=2,

find:

The curved area of this solid.

In Problems 17 to 30, for the curve y=x, betweenx=0andx=2, find:

The moments of inertia about the x axis of a lamina in the shape of the plane area under the curve;
See all solutions

Recommended explanations on Physics Textbooks

Mechanics and Materials

Read Explanation

Energy Physics

Read Explanation

Fluids

Read Explanation

Classical Mechanics

Read Explanation

Thermodynamics

Read Explanation

Solid State Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.