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**Julieeeee****Guest**

I'd like to check my result. I have to find area between

axis. I got**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,856

Hi Julieeeee;

Is the purple shaded area what you want?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**Julieeeee****Guest**

Yes, I also got this picture

**TheDude****Member**- Registered: 2007-10-23
- Posts: 361

That's the answer I get Julie.

Wrap it in bacon

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,856

Hi Julieeeee;

Welcome to the forum.

This is what I did:

What did you do?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**Julieeeee****Guest**

Thank you guys.

I did

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,856

Hi Julieeeee;

That is correct and nice and simple.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**Julieeeee****Guest**

What about tangent touching graph of

at a pointI get

And also...

But wolfram alpha says

Why is that so?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,856

Hi Julieeeee;

I am getting that for a tangent also. How did you get yours?

For that integral, Maple gets the first answer too. Might be that an absolute value is wrapped around each term and they have both left it out...

When I do it by hand I do not get Alpha's answer either.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**Julieeeee****Guest**

by implicit differentiation I get

Hence

Thank you bobbym

**Julieeeee****Guest**

bobbym wrote:

When I do it by hand I do not get Alpha's answer either.

Do you get my answer?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,856

Hi;

Have you seen an implicit plot of that equation?

Yes, I get your answer when I do the integration.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**Julieeeee****Guest**

did you also do it like me?

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,856

The tangent problem? No I used geogebra to get the tangents for me. But when I look at the graph I am not so sure of the answer we are all getting.

Question: Are you satisfied with your tangent line?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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