Why is the following function such a problem to differentiate?

A := 1/(8*cos(`θ`)*(sin(`θ`))(sin(`θ`)+cos(`θ`))^2)

Here is a worksheet:

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I posed an integration problem and Maple solved it so easily I decided I would like to get Maple.  I'm waiting to hear whether Maplesoft will sell me the student version.  While I'm waiting, I would like to ask this group a question I've always had about systems like Maple.  I will start by posing a problem:

Let C be a unit circle and let P be a point on C.  Draw a bigger circle B with P as center which crosses C at two diametrically opposed points of C.  What is the area of the crescent-shaped region inside C and outside B?

Hello Everyone:

The e-mail notification feature that was previously available before the last update to the site has been re-enabled.

Please post any issues with this feature as comments on this blog entry. If you have comments about any other features, please add them to the MaplePrimes Suggestions forum

I used to receive emails each time when a comment/reply was made to my questions on mapleprimes. Very convenient. Now this service either stopped to exist or something else, as I receive nothing. Can it be resumed somehow? Thanks.

I am thinking about buying Maple, but I would like to know how it does with the following problem:

f(x):=log(2-cos(x)+sqrt(3+cos(x)*(cos(x)-4))) ;
r(n,p):=(1/%pi)*integrate((1-exp(-abs(n)*f(x))*cos(p*x))/sinh(f(x)),x,0,%pi) ;
r(1,3) ;

These are Maxima commands--let me know if it is not clear what they are doing.  I am wondering if someone with Maple could translate these commands into Maple-ese and try them. (Maxima just gives up on this integral.)

The following give very different answers.

> evalf( int( ln(2+2*cos(t)^2+cos(t)^4), t = 0 .. Pi));

   -8.710344354+19.73920881*I;

> evalf( Int( ln(2+2*cos(t)^2+cos(t)^4), t = 0 .. Pi));

Hello to All,

I am just in testing process of new version Mechanics of Materials 2.0 ToolBox.

Some of Maple pictures are so good that I decided to put here one from them.

What a great Maple...

Sorry for my some immodesty...

Hello,

I have a question about e-mail notification from Mapleprimes. Some month ago when somone answered my post it was generated an e-mail notificaion, but now it is not (I think).

I looked for notification e-mails in Spam bin as well, but it was empty.

Does Mapleprimes still create notifications?

Thank you very much.

Vladimir

Hello All,

     In Document Mode, I entered the following 2 lines and observed 2 different behaviors from Maple 10,

       sin(4.5)=-.9775301177         I can NOT enter anything after ..177, the output.  Here = is ctrl+=.

I have been trying to change the signature on the account settings on MaplePrimes. I did make a change in the last couple of weeks, but need to make another change to remove some extraneous characters from the end of the signature. I have gone through the steps to make this change several times (at least 10) in the last couple of days, from work and home. But, the change is never saved. I make the change to the signature, click Submit, and see a message that "The changes have been saved." But, when I try to make another post, the changes have NOT been saved. I have tried entering my password as part of this process, but that makes no difference. I have tried to re-click the Accept box for the Terms and Conditions but this box is inactive.

Curious about something. In Maple 10 I was able to find the inverse Fourier transform of a product of transforms (a linear filter actually) by definition.  For example, Maple 10 would evaluate:

1/sqrt(2*Pi)*int(LF*exp(I*lambda*t),lambda=-infinity..infinity) where LF is was a product of two Fourier transforms.

Maple 11 on the other hand will not evaluate the integral and I am left having to use:

with(inttrans): sqrt(2*Pi)*invfourier(LF,lambda,t);

I have come across an integral that behaves badly/oddly for specific forms of the limits.

The integral is

Can anybody tell me how to plot a family of indexed curves without having to type each one in the plot command?

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I'd like to see anything anybody would do differently.

The New York Times has a really interesting article ``They criticized Vista.  And they should know.'' (you might need to register to see the article, I am not sure).  It shows why Vista isn't really an upgrade to XP, mostly through emails between senior Microsoft executives.  Basically, they knew it was a dud, and instead of going with the more honest approach they were at first planning, went with really misleading advertizing that made things much worse.