Description

will take place on 5/20/2021 (Thursday).#2. There will be 6 pages.#3. 40% of course grade#4. will be AVAILABLE at 5:00 PM and DUE by 10:00 PM.

MATH 193 (8792)

FINAL EXAM STUDY GUIDE

5-15-2021(SAT)

STUDY ALL THE NOTES, HOMEWORK PROBLEMS, & QUIZZES!

1.

THE USUAL!

2.

Series (Converge/Diverge)

(nth-Term Test for Divergence, Geometric Series Test, p-Series Test, Absolute Convergence, Alternating

Series Test, Integral Test, Direct Comparison Test, Limit Comparison Test, Ratio Test, and Root Test)

Write several complete simple sentences about how each series is convergent or divergent, including which test is applied !

(Hypothesis (Criteria), Conclusion (Converge/Diverge), & EXACT Test Name! )

3.

Power Series (Radius of Convergence & Interval of Convergence)

Be sure to include a check for convergence at the endpoints of the interval and write a complete simple

sentence to conclude your result!

1 Ratio Test — Open Interval

○

2 Check for Convergence at the Endpoints of the Open Interval

○

3 Complete Simple Sentence to Conclude

○

4.

5.

Taylor Series & Maclaurin Series

SHOW at least first 5 nonzero terms with the correct use of

Integration Methods

(1)Integration by Parts

(2)Trig Integral

(3)Partial Fraction

(4)Trig Substitution

(5)Completing the Square

(6)Weierstrass Substitution

6.

Definite Integral Applications

(1)Area of a Region between Two Curves

(2)Volume of Revolution Solid (Disk, Washer, & Shell)

(3)Centroid

THE END!

or

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

PROBLEM #1

Just Write Down Each Answer!

FIND each integral or derivative (EXACT!).

1 of 6

5-20-2021(TH)

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

5-20-2021(TH)

Show EACH Step CLEARLY!

PROBLEM #2 (

)

Write several complete simple sentences about how each series is convergent or divergent, including which test is applied !

nth-Term Test for Divergence, Geometric Series Test, p-Series Test, Integral Test, Absolute Convergence, Alternating-Series Test,

Ratio Test, Root Test, Direct Comparison Test, & Limit Comparison Test

(Hypothesis

(Criteria), Conclusion (Converge/Diverge), & EXACT Test Name!)

1.

2.

3.

2 of 6

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

4.

5.

6.

3 of 6

5-20-2021(TH)

MATH 193 (8792)

7.

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

FIND the radius of convergence and the interval of convergence of the following power series.

1 Ratio Test — Open Interval

○

2 Check for Convergence at the Endpoints of the Open Interval

○

3 Complete Simple Sentence to Conclude

○

1

n 1

5-20-2021(TH)

n 1

2 x 1

n

5n n

4 of 6

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

SHOW at least first 5 nonzero terms with the correct use of

or

8.

FIND the Maclaurin Series of f ( x) cos2 3x .

9.

FIND the Taylor Series of f ( x) cos x centered at a 1.

5 of 6

5-20-2021(TH)

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

10.

FIND the following integral:

d

sin tan

11.

Find the total EXACT area of the shaded region enclosed by the following given curves.

y sin 2 x and y cos x 6 x 32

6 of 6

5-20-2021(TH)

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

5-20-2021(TH)

PROBLEM #1

Just Write Down Each Answer!

FIND each integral or derivative (EXACT!).

7

21

–

3 h ( 2)

,

i

呥

–

5( 万

4

不

e

成了

–

1

–

1

0

0

1

t

x

e

10

–

主

业

2

3》 ⽐

x

1)

4 万

5

–

–

–

–

3

41

6

1 7⼒

L

⼀

⾄

zx.ie ⽐

⼀

2万 ⽐

”

北

–

–

就不 劧 㲞

3

–

1 of 6

15 e

–

古

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

5-20-2021(TH)

Show EACH Step CLEARLY!

PROBLEM #2 (

)

Write several complete simple sentences about how each series is convergent or divergent, including which test is applied !

nth-Term Test for Divergence, Geometric Series Test, p-Series Test, Integral Test, Absolute Convergence, Alternating-Series Test,

Ratio Test, Root Test, Direct Comparison Test, & Limit Comparison Test

(Hypothesis

(Criteria), Conclusion (Converge/Diverge), & EXACT Test Name!)

1.

Sina

n

品

出品

砉

=

0

,

and

兽

是

isdecreas.gl

汇

器

了

器

conergesbyAlternating-seniestest.cn

2

2.

⼆点2.hn ⾼ ⼆点

=

Simecfztzand 器 ⾼ conegesyp-se.ie

s

conergestobDi

nectamparismTestH.ae

竁

嵓有

2

1)

(

ci conergesabsoluteg.hn

,

3.

⼆

⼼

!别

管

,

Unti

嘉

⼆点

剿 垬剃 器 .tk 551

嵓 ⻘ diverga.by

蚍

Test

2 of 6

Testuith p

=

2 >

1

,

‘

=

楍

i

2

0)

,

MATH 193 (8792)

FINAL EXAM (120 PTS)

MUST SHOW ALL YOUR WORK!

4.

⼝

(

–

4)

”

嵓 贰 谎簽 器 术 的

( 4)

叫

5-20-2021(TH)

⼗

”

–

㮺 ==

Itiageometicseniesuitha-j.ir =_= ⼀本

制

器 譽

今

isconwgata

14

sine

=

,

5.

⼆点

,

a

型

+,

⼆

(h

别签

1 1)

–

监

⼼

!

1噐 前

⼆

品品

‘

=

0

Purchase answer to see full

attachment

Order your essay today and save **15%** with the discount code: VACCINE