Quiz 3 - Math XXXXXXXXXX)Instructions:• The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your scoreon the quiz will be converted to a percentage and posted in your...

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Quiz 3 - Math 141 (7380) Instructions: • The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your score on the quiz will be converted to a percentage and posted in your assignment folder with comments. • This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. • You must show all of your work to receive full credit. If a problem does not seem to require work, write a sentence or two to justify your answer. • Please write neatly. Illegible answers will be assumed to be incorrect. • Please remember to show ALL of your work on every problem. Read the basic rules for showing work below BEFORE you start working on the quiz: 1. Each step should show the complete expression or equation rather than a piece of it. 2. Each new step should follow logically from the previous step, following rules of algebra. 3. Each new step should be beneath the previous step. 4. The equal sign, =, should only connect equal numbers or expressions. • This quiz is due at 11:59 PM (Eastern Time) on Tuesday, November 15. *********************** At the end of your quiz you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero. I have completed this quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz. Name: Date: 1 Quiz 3 - Inverse Functions 1. Chapter 7-0, Problem 12. 2. Chapter 7-1, Problem 6. 3. Chapter 7-1, Problem 18. 4. Chapter 7-2, Problem 18. 5. Chapter 7-2, Problem 34. 6. Chapter 7-2, Problem 54. 7. Chapter 7-3, Problem 20. 8. Suppose f is a one-to-one and (twice) differentiable function. Let g be the inverse of f . Find an expression for g′′(x) in terms of derivatives of f . 9. Let f(x) = 3 + x2 + tan (πx 2 ) , where −1 < x="">< 1. find (f−1)′(3). 10. let f(x) = ∫ x 3 √ 1 + t3 dt. find (f−1)′(0). 2 1.="" find="" (f−1)′(3).="" 10.="" let="" f(x)="∫" x="" 3="" √="" 1="" +="" t3="" dt.="" find="" (f−1)′(0).="">
Answered Same DayNov 11, 2022

Answer To: Quiz 3 - Math XXXXXXXXXX)Instructions:• The quiz is worth 100 points. There are 10 problems,...

Baljit answered on Nov 12 2022
51 Votes
evyineh function f(I)=9r+b one to One?
Let ,TER such th
f()= fC)
a+b= 9o+b
Nous we know that
1f :XY
be a functhion
fisome to ome if amd o if fu eveny
evey
EY hete is at most
one xEX such that
ftx)=y. 1f omd ony f fCx)=f(>2)
impRies X272.
So ouh Sinea funchion is One toome fuv
evey x)= artb.
.Fia shows 3aph of .Sketch cthe 2aabh aaoph
Ah
Let OCo,0), PC,,b), OCab) omd RCasb)
Pomf on gaph of a ashown m
o0ouoiny araph
Nou aph of wiu pas through Teflected
o'Co,o), rCba), s(b»,) nd boimta
s(b3s) So araph of a'
Nou O qmd R ies
on ine y
s0 pom
O * .e (o o)
R 0 ba9a
p
3 1f fks)LO fot allVaves of , whad can be said
abou (f')) what does his meam about the
g2aph of f amd ?
As
Now we mow that
bf(a) , i i> differentiabe at point (4, b)
Tmd fca)o then Qfb), fT is difterentabe
at boint (bja) svch thad
a)
(Yb)(sa)
Now aiven f'x)o
Now From em O
()a sed)
Now &ince S6'a)) 2O ,ho (f)a) Lo
(JG)=_ 20.
Ond )) 2o ain ce )Lo So
1...
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