Prepare for your exams
Get points
Guidelines and tips
Sell on Docsity
Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips

Sell on Docsity

Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents

20 Points

For each uploaded document

Answer questions

5 Points

For each given answer (max 1 per day)

All the ways to get free points

Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Math 2B Worksheet 1/31, Exercises of Mathematics

University of California - Los Angeles (UCLA)Mathematics

Math 2B Worksheet 1/31 6.2 & 6.5

Typology: Exercises

2022/2023

Uploaded on 02/01/2023

apbreloaded 🇺🇸

(1)

1 document

1 / 2

This page cannot be seen from the preview

Don't miss anything!

Karl Zieber 1/31/2023

Math 2B Worksheet 1/31

Volumes of Revolution (§6.2)

1. Find the volume of the solid formed when the region between the curves y=px1,

y=0,andx=5is rotated about the x-axis.

2. Find the volume of the solid formed when the region between the curves xy =1,

y=0,x=1,andx=2is rotated about x=1.

rout xFi Vin x1 0

Ait is 2oZdx

x5it fxidt

jXy 1x22g is yiz

xI41

Éarates iing

in ly Iiiit 2

AF it tti 2dy

It log14 112

vinyl I1f11 2

A2tThug 4it

AH132 2dy

Discover Exercises of Mathematics University of California - Los Angeles (UCLA)

Partial preview of the text

Download Math 2B Worksheet 1/31 and more Exercises Mathematics in PDF only on Docsity!

Karl Zieber 1/31/

Math 2B Worksheet 1/

Volumes of Revolution (§ 6.2)

Find the volume of the solid formed when the region between the curves y =

p x 1 , y = 0, and x = 5 is rotated about the x-axis.

Find the volume of the solid formed when the region between the curves xy = 1, y = 0, x = 1, and x = 2 is rotated about x = 1.

rout

x Fi^ Vin^ x1^0

A it^ is

o Zdx

x (^5) it f x^

i (^) dt

(^1) x (^2) 2g is (^) y iz

x (^) I 4 1

É

a rates i^

i ng

in (^) ly I^ i^ i^ it^2

AF it^ tti 2 dy

It log

14 112

I

vinyl I^1 f^11

A 2

t

Thug

A H^ 1 32 2 dy

Find the volume of the solid formed when the region between the curves y = sin(x), y = cos(x), x = 0, and x = ⇡ 4 is rotated about^ x^ =^ ^1.

Average Value (§ 6.5)

Calculate the average value of f (x) = x sec 2 (x) on the interval [0, ⇡ 4 ].

rout cos^

x costxt^ f il^

co x

F

rin sinin^ sinext^ t^ it^ sink i

g V TS six^ ti^

Sinixtt^ it de

o

co tix^ t^2 o^ lx^

t (^) l (^) sin ext (^2) si ext l (^) dx

if

six int^

Fiosex asi ex ax

u 2x^

jaggy

f

costxt^2 sinex dx

du Lax

EFFI 2

94 (^112) p sinin^ to^

2 sink (^2041154)

Gffcostulan (^252)

3 2

want

tf fo^

secy ax gig I^

see (^) at

St (^) xse an (^) ax (^) x tanks 15 Sitara

axqie.IE

tanthal (^) o tanto (^) fo ax

f

single

an I (^) f Ian^ I truly

I th^ cosexy^

ft I dulco^ tall^ bn^ woot

talk