Author Topic: section 2.1 practice problem 35  (Read 652 times)

Suheng Yao

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section 2.1 practice problem 35
« on: September 19, 2020, 04:52:11 PM »
I had solved this equation to this implicit form, but I don't know how to simplify to a simpler form as the answer shown. Could someone help me? Thanks.

kavinkandiah

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Re: section 2.1 practice problem 35
« Reply #1 on: September 19, 2020, 05:17:56 PM »
Add all those terms on both sides so they're all positive instead (just make to make it easier), and then combine the ln|x| and ln|y/x+1| using product rule for logarithms (i.e., log(a)+log(b)=log(ab)).

Suheng Yao

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Re: section 2.1 practice problem 35
« Reply #2 on: September 19, 2020, 05:45:09 PM »
Thanks, and in tests, could we leave the answer in the implicit equation form? Or is it necessary to transform it into a parametric form as the professor taught in the class?

kavinkandiah

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Re: section 2.1 practice problem 35
« Reply #3 on: September 20, 2020, 10:17:53 AM »
I asked Victor and he said either is fine, depending on which is more convenient.