scottjohns
scottjohns scottjohns
  • 04-03-2017
  • Mathematics
contestada

Find the exact coordinates of the centroid for the region bounded by the curves y=x,y=x, y=1/x,y=1/x, y=0,y=0, and x=2

Respuesta :

maxday
maxday maxday
  • 04-03-2017
i) The x coordinate of the centroid is given by: (1/A)∫{x*f(x)}dx in [x = a to b] 

ii) And y coordinated of the centroid is given by: (1/A)∫[f(x)]² dx in [x = a to b] 

iii) And A is the area which is given by ∫f(x) dx in [x =a to b] 

iv) Here, f(x) = 1/x; a = 1 and b = 2 

Substituting these and evaluating we get the coordinates as: ( 1/ln|2|, 1/4ln|2| ) 
Answer Link

Otras preguntas

ICS facilitates the ability to communicate by using: a. ICS-specific codes. b. NIMS lexicon. c. Acronyms. d. Common terminology.
Which option in the Control Panel can you use to change the time zone in both Windows XP and Vista?
Warning signs of suicide are much different than those of depression. TRUE or FALSE
a spider and tick evolved from the same ancestor, the fact that they evolved into different organisms, how can that be explained by?
which part of the eukaryotic cell contains information throughout the cells functions
2. mLTE (3y 36) Find the measure of supplement of LT.O (144 3y)(134 3y)(116 3yO (216-3)
How do you work out 4/5 of 65
Metamorphosis is a type of homeostasis. a. True b. False
Describe the fluid theory of intelligence; then explain your views on this theory.
Who, what, when, where, and why are elements of _____. nature a long novel historic events?