Question

HELP URGENT! LAST QUESTION OF SEMESTER

Answer 1

wait i uploaded wrong one, i already did that one lol

Answer 2

hold on

Answer 3

ok

Answer 4

@jim_thompson5910 if i get this right i wont have to take the final and my extra credit will give me an A help?

Answer 5

@MathematicsNerd help:)

Answer 6

Do you remember how sigmas work?

Answer 7

I have 13 minutes to do it:(

Answer 8

yes

Answer 9

will 13 minutes be enough? AHHH :0

Answer 10

Okay so now think about square binomials.
\[(i - 1)^2\]

Answer 11

What is that equal to?

Answer 12

it cancels:)

Answer 13

no wait it doesn't

Answer 14

\[(i - 1)^2 = -1 - 2i +1 = -2i\]

Answer 15

@jim_thompson5910 this is my exam that i took yesterday lol this one is not exam

Answer 16

I gotcha

Answer 17

thanks!:)

Answer 18

Just to make sure you got it correct, what was your answer?

Answer 19

well this is what I get when I graph f(x) on that restricted interval 0 <= x <= pi/9

Answer 20

if you reflect the graph over the line y = x, you get this blue curve

Answer 21

i still dont have answer @MathematicsNerd

Answer 22

based on the graph, we see that the tangent line at x = 1, for the blue inverse curve, is a vertical line. So the slope is undefined here.

This means

\[\Large (f^{-1})'(1) = \text{Undefined}\]

Answer 23

Some books would probably use DNE for "Does not exist"

Answer 24

you sure? its DNE?

Answer 25

it depends on how your book states it

some say "undefined" or "UND"

others say "DNE"

Answer 26

they all essentially say the same thing

Answer 27

me personally, I like UND better

Answer 28

i meant are you sure its undefined?

Answer 29

yes because the tangent line for the blue curve at x = 1 is a vertical line

Answer 30

at first, it's horizontal on the red curve

but then it reflects over y = x to become a vertical line

Answer 31

yes, its DNE!!

Answer 32

ok great

Answer 33

THANKS !! I WON'T TAKE MY FINAL AND HOPEFULLY GET AN A!! MY TEACHER WILLAVERAGE MY GRADE OUT SHORTLY!! Thanks:)

Answer 34

you're welcome