• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Identities theorem problem

I need help on the following problem. (attached)

Thanks
 

Attachments

55
0
sitedesigner said:
I need help on the following problem. (attached)

Thanks
Draw a picture of some curve (i.e. make a guess about what the curve looks like), shade the regions given, then think about what they are asking -- perhaps the answer will become obvious...
 
176
0
hello there

well
f '(5)-f '(2) =11
f '(11)-f '(8) =27
f '(5)-f '(8)+f '(11)-f '(2)=f '(5)-f '(2)+f '(11)-f '(8) =11+27=38
I hope you do know what i have done, take care

steven
 
SteveRives said:
Draw a picture of some curve (i.e. make a guess about what the curve looks like), shade the regions given, then think about what they are asking -- perhaps the answer will become obvious...
I'm not sure if 38 is the correct answer though
 
steven187 said:
hello there
f '(5)-f '(8)+f '(11)-f '(2)=f '(5)-f '(2)+f '(11)-f '(8) =11+27=38
steven
can you explain how you got to that part? :cool:
 
176
0
hello there

sitedesigner said:
I'm not sure if 38 is the correct answer though
why arnt you sure, what are you having doubts about? explain your thoughts?

steven
 
even though i scanned it in there, it was a mere guess.
 
176
0
hello there

well I have basically given you the answer all you have to do now is interpret it, you must have some prior knowledge of knowing the basics of how to understand this question, by the way they were suppose to be capital F's

F(5)-F(2) =11
F(11)-F(8) =27
F(5)-F(8)+F(11)-F(2)=F(5)-F(2)+F(11)-F(8) =11+27=38

steven
 
can you state the theorem or definition that makes that true? I understand the format it's in, but not why it works. Even visualizing it doesnt make sense :(
 
actually, i drew myself a picture, and now i understand it now :)
 
guess a picture is worth a thousand words... here it is attached
 

Attachments

i really appreciate the quick response... that's what makes physicsforums a great place!!!!
 
176
0
you welcome

well we are happy for you to be part of this forum, by the way you havnt told us what your answer was?
 
When i was doing that problem, I had originally put the answer as 38 because somewhere in the back of my mind i had recalled reading about adding and subtracting integrals.

I didnt understand what the answer was, but after i drew the picture, it became more clear :) The answer is 38.
 
147
1
can you state the theorem or definition that makes that true? I understand the format it's in, but not why it works.
[tex]\int_a^b f(x) dx =\int_a^c f(x) dx +\int_c^b f(x) dx[/tex]
[tex]\int_a^b f(x) dx =-\int_b^a f(x) dx[/tex]
Do you know these identities?
These 2 make given problem almost formal.
 

Related Threads for: Identities theorem problem

  • Posted
Replies
7
Views
2K
  • Posted
Replies
3
Views
2K
  • Posted
Replies
5
Views
575
  • Posted
Replies
2
Views
2K
Replies
1
Views
447
  • Posted
Replies
6
Views
5K
  • Posted
Replies
3
Views
2K
  • Posted
Replies
2
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top