Area of Limacon Loops How to find the area of inner loops and between loops inside limacons.
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- Опубликовано: 21 авг 2024
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This Math Help Video Tutorial is all about the Area of Limacon Loops and How to find the area of inner loops and between loops inside limacons.
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This is so helpful!! I finally got through my stucked math hw, thank you so much!!
My pleasure! Please subscribe, like, and share! Take good care:)
Great lesson, great energy
Thanks so much for the kind words! Please consider sharing with others and subscribing to my channel. Be well!
For the second problem on the second option for the integral why was the top bound 3pie/2?
did you figure it out? if yes, could you please help me? I have the same doubt
Thanks so much for your question! I was showing there is another option to use symmetry of the inner loop. By finding half the area of the inner loop which takes you from 7pi/6 to 3pi/2 and then doubling the result, you get the area of the entire inner loop. Hope this helps and thanks for watching!!!
@@problemsolvedmathtutoring883 so the top bound is 3pi/2 not pi/2 because r values are negative?
Correct, it has nothing to do with the negative r value but that 3pi/2 will sweep around half the inner loop. Great question! Be well!
How did you get the 2pie/3 and 4pie/3
Hi. How do you find the value of theta by drawing a circle for sin and cosine? Thanks
I am sorry, but I am not quite sure what you mean by this question. Thanks for asking it, though!
At 5:47, you found the value of theta by drawing a circle.
@@mady-son he set 2 + 4sin(theta) equal to 0 and solved for theta. I think he just drew the circle to help us visualize the unit circle!
at 8:02 why was the top bound 3pie/2?
Hi, he just simplified the bound from 9pi/6
he added both points of 11pie/6 and 7pie/6 then divided over 2 to find the midpoint
are you sure about the final answer?? because i got 35.5
Thanks for your comment! Yup! The answer in the video checks out, but I will triple check and get back to you if I get something different. Thanks again!