/*! 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} Q33P Verify that (3.10) gives the sam... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q33P (page 257)

Verify that (3.10) gives the same result as (3.8).

Short Answer

Expert verified

The given equation is verified.

Step by step solution

01

Representation of the equations

Write equation 3.10.

V=鈭�x=01鈭�(z=-x2x2鈭�y-(x4-z2)(x4-z2)=dydzdx

Write equation 3.8.

V=鈭�01蟺y2dx=鈭�01蟺x4dx=蟺5

02

Verification of the given equation

Simplify equation 3.10.

V=鈭�01dx鈭�-x2x2dz鈭�-x4-z2x4-z2dy=鈭�01dx鈭�-x2x22x4-z2=2鈭�01dx鈭�-x2x2x4-z2dz

It is known that z=x2sinu,anddz=x2cosuduSubstitute the values in the above expression.

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

Find the area of the part of the conez2=3(x2+y2)which is inside the spherex2+y2+z2=16

鈭�x=04鈭�y=0xxydydx

For a thin rod of length and uniform densityfind

(a) M,

(c)lmabout an axis perpendicular to the rod,

(d)labout an axis perpendicular to the rod and passing through one end (see Problem 1).

For a square lamina of uniform density, findabout

(a) a side,

(b) a diagonal,

(c) an axis through a corner and perpendicular to the plane of the lamina. Hint: See the perpendicular axis theorem, Example 1f.

Find the volume between the surfaces z=2x2+y2+12and z=x2+y2+8, and over the triangle with vertices (0,0), (1,0) and (1,2).
See all solutions

Recommended explanations on Physics Textbooks

Medical Physics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Energy Physics

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Fluids

Read Explanation

Translational Dynamics

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.