#Area under curve

72 messages · Page 1 of 1 (latest)

flat oak
#

so we are supposed to find the area bounded by y^2=8x , x=2 and y=x

fb056749-aed9-4d50-b0ca-7e3c962209ac-9887686.png
lapis roverBOT
#
  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with:
+close
  1. Feel free to nominate the person for helper of the week in #helper-nominations
  2. Do not ping the mods, unless someone is breaking the rules.
  3. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
flat oak
#

what i dont understand is why didnt we consider the area b/w
x=0 and x=2

marble plover
#

cuz thats not the area painted???

#

u dont even understand the problem. U dont have to find area between y=x, x=2 and y^2=8x

#

u have to find the area between y=x and y^2=8x between 2 and something (where they intersect)

#

and clearly ur intersection point isnt x=0

heady shuttle
crude stump
flat oak
#

i just gave you the diagram for better understanding

flat oak
flat oak
#

i"ll have a look at other similiar questions if i find any

#

i"ll keep this post open tho

marble plover
#

there is some arena like

#

with lines

#

isnt that what u wanna calculate?

heady shuttle
#

but the diagram tells you what you need to find

#

probably someone not being paid enough made a description and did not look at it carefully

marble plover
#

assuming it is what i colored, wouldnt if be integral from 2 to where they intersect of sqrt(8x)-x?

flat oak
#

im saying this again

#

There wasnt a shaded region in the question

#

this is the actual question

Capture.PNG
heady shuttle
#

larger region

#

so you find them both and see which is greater i guess

flat oak
#

well its numerical , icant guess that always

marble plover
#

oh

#

i guess u gotta do from 0 to 2 and from 2 to whatever

#

and see which one is bigger

#

and then do 3 times that

flat oak
#

yea but that kind of wastes time i cant give on the question

#

its a question on a entrance paper

marble plover
#

?

#

there is not waste of time since u only have to integrate once

#

lol

#

only the boundings change

flat oak
#

i mean yeah , but still it would be better to get a concrete reason as to why only took it from x=2 to x= sqrt 8x

marble plover
#

actually, cant u guess which area will be bigger by optimizing it? :D

#

would be fun

#

u could try

#

ah no, it wont work

#

nvm, just do it

flat oak
#

i did solve from x=0 to x= 2 first and got the answer to be around 10 [3 alpha]
the area from x=2 to x=sqrt 8x was 112 [ 3 alpha]

#

so what you are saying is true

#

they indeed took the bigger area

marble plover
#

then dont complain that much, is easy exercise

flat oak
#

i could see which area is larger is i could draw the diagram with good scale

#

yeah it is easy

marble plover
#

if u find no reason to do so, ask ur teacher

#

and then tell me

heady shuttle
#

nah just solve both idk

flat oak
#

wish it wasnt that ambigious

marble plover
#

idk why would someone ask that

#

or any real scenario

#

so ask him/her, and tell me after

#

idk, maybe a robot trying to draw shapes on certain surface

#

and it wanna optimize the space so all the pieces fill?

flat oak
marble plover
#

maybe on that case u will want some apporach like this

#

idk

flat oak
#

plus i cant draw it to the exact scale , its a CBT test

marble plover
marble plover
flat oak
#

yeah the question itself is fine

#

hmm anyway. i"ll take what i can
take the larger area whenever in doubt

#

thank you

#

+close