#Can someone please help me with figuring out the perimeter and area of these sections? PLEASE

1 messages · Page 1 of 1 (latest)

deep compassBOT
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wary kraken
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are you supposed to approximate the lengths and areas?

arctic birch
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yeah

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i have the functions and everything i just need to figure out how to do it

wary kraken
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i'd advise replacing the curves with line segments so all the regions become polygonal, the more segments you use the more accuracy you get

arctic birch
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can't i just use integrals

wary kraken
# arctic birch can't i just use integrals

you could, except that would require solving for the intersection points, which is probably not possible, and furthermore you cannot find the arc length of a cubic or quartic function in general

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i mean, if you have a calculator

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yes

noble goblet
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well lets see

arctic birch
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i'll send the functions here

noble goblet
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Ah you are trying to find the area of the each section of the graph

wary kraken
arctic birch
wary kraken
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so where are you stuck

arctic birch
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these are the black borders around the areas

image.png
noble goblet
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I wonder,

Red section:

Approximate a rectangle then calculate the area. Then abstract the missing piece of the graph to a shape with a known area. Subtract that abstracted piece by the rectangle.

Repeat for all 4

arctic birch
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idk how tf to figure out district b and c, which are orange and purple respectively

wary kraken
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well you only need 3 districts to find the fourth

arctic birch
wary kraken
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orange and purple look to be about the same difficulty

wary kraken
arctic birch
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i can find district a and d ezpz but b and c are getting me in a twist lowk

arctic birch
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could you show me how to do b so i can figure it out

wary kraken
arctic birch
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😭 HOW

noble goblet
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u got this

arctic birch
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FOR B THE AREA IS ABOVE THE GRAPH WHICH MEANS IDK HOW TO USE THE INTEGRAL TO FIND THE AREA

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BC IT CALCULATES THE AREA UNDERNEATH

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WHICH MEANS TECHNICALLY I CAN DO C

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BUT IDFK HOW TO DO B

wary kraken
arctic birch
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how

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do i even calculate that

wary kraken
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i divided it into 3 regions depending on what the upper curve is

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well try to figure out what the information you need is

arctic birch
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does anyone have a calculator on them

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i just used my big brain to figure it out

wary kraken
arctic birch
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yeah but its being a pain and this is for my investigation meaning i can use a calculator

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except

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my calculator

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is lost

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:)

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so would someone do me the marvellous favour to punch in a couple of dozen numbers

wary kraken
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you can probably look up a calculator emulator if you don't want to use desmos calculation

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if you are going to need to do this on a test i would recommend recovering your calculator or obtaining another