Calculating the Area of a Circle in the First Quadrant | Integration Homework

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Homework Help Overview

The discussion revolves around calculating the area of a circle in the first quadrant using integration, specifically the integral -8∫03√(9-x²)dx.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the interpretation of the integral as representing the area of a quarter circle and question the validity of the initial answer provided. There is also a discussion about the tone of responses and whether they are supportive or sarcastic.

Discussion Status

The conversation includes attempts to clarify the interpretation of the integral and the correctness of the area calculation. Some participants provide affirmations while others express confusion regarding the tone of the responses. There is no explicit consensus on the correctness of the initial interpretation.

Contextual Notes

Participants are navigating the nuances of communication and interpretation in the context of mathematical reasoning, with some questioning the assumptions made about the integral's representation.

gtfitzpatrick
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Homework Statement


-8[itex]\int^{3}_{0}\sqrt{9-x^2}dx[/itex]

Homework Equations


The Attempt at a Solution



am i right in thinking this the area of a circle in the first quadrant so my answer is-8([itex]\frac{9\pi}{4})[/itex] = -18[itex]\pi[/itex]

Thanks for reading?
 
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gtfitzpatrick said:

Homework Statement


-8[itex]\int^{3}_{0}\sqrt{9-x^2}dx[/itex]


Homework Equations





The Attempt at a Solution



am i right in thinking this the area of a circle in the first quadrant so my answer is-8([itex]\frac{9\pi}{4})[/itex] = -18[itex]\pi[/itex]

Thanks for reading?

Sure it is.
 
Dick said:
Sure it is.

Hi Dick.
thanks for reply but...
are you saying "it sure is" or are you asking "are you sure it is?"

"sure it is" is the way my friends would sarcastically say "your wrong":confused:
 
gtfitzpatrick said:
Hi Dick.
thanks for reply but...
are you saying "it sure is" or are you asking "are you sure it is?"

"sure it is" is the way my friends would sarcastically say "your wrong":confused:

It's the not sarcastic 'it sure is'. The integral is -18*pi and you can deduce that from its being a quarter circle. You could also do it with a trig substitution and get the same thing.
 
thanks a million Dick. :smile:
 

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