I got an interesting question about integration yesterday. The question was about the integral of the rather innocuous looking function f := sqrt(1+sin(x)). The inside of the square root is always non-negative so the function is continuous (and bounded!) so it must have a continuous integral.
The question I was asked, was if the following result was a bug in Maple:
Int(sqrt(1+sin(x)),x) = (2*(sin(x)-1))*sqrt(1+sin(x))/cos(x)
since the right-hand side is definitely not continuous at x=-Pi/2 + 2*n*Pi!

My apologies if this has been posted before, but a quick search didn't turn it up. I'd like to have a simple, "clickable" way, preferably in the "PlotBuilder", to shade in the region *between* two 2D curves or two 3D surfaces. I know that there are packages to do this, but I'd like my students to be able to do it without learning any new commands or loading any new packages --- it's just too useful when you are teaching calculus.
Thanks for listening!
----Josh

So I am taking multi variable calculus this semester and we have been asked to use maple to complete an assignment. I have never used maple before so I tried to read the tutorial we were given. Anyway, it was written by some incompetent fool as I am now more confused than when I started. The concepts are appallingly illustrated and I have no idea what to do. I have attempted to do most questions and I will probably get part marks for most, but I am completely clueless regarding this one.
The Question is as follows: "Determine the distance from the plane 2x + y - z = 1 to the plane 2x + y - z = 6"

So I am taking multi variable calculus this semester and we have been asked to use maple to complete an assignment. I have never used maple before so I tried to read the tutorial we were given. Anyway, it was written by some incompetent fool as I am now more confused than when I started. The concepts are appallingly illustrated and I have no idea what to do. I have attempted to do most questions and I will probably get part marks for most, but I am completely clueless regarding this one.
The Question is as follows: "Determine the distance from the plane 2x + y - z = 1 to the plane 2x + y - z = 6"

... I doubt that there has ever been a better way to learn the relationship between numbers - and even mathematics in general - than the slide-rule from days-gone-by, and the ability to plot functions using modern computer technology. For the young people here who may not have ever used a slide rule, below is a link to a virtual slide rule: virtual slide rule

I wish, and think...

Consider a sum:
Sum((-1)^(i+1)*Sum(1/j,j=1..i)*x^i,i=1..infinity);
value(%);
The result given by Maple 11 is:
sum((-1)^(i+1)*(Psi(i+1)+gamma)*x^i, i = 1 .. infinity)
However, from an calculus book I know the answer is:
log(1+x)/(1+x).
How can I get this result from Maple? Whether should I give some assumptions?
Best wishes.

Hello:
I just bought this maple sofware last week, and I need some help with that. I am tryingto do my homework from college, "calculus and trig" I need to know how I can erase after I have bee done an exercise in the little window going to: maple 11, untitle, tools, tutor, single variable?
I this is very good but I jsut can not erase anyting after I did an exercise , please I need help!! thank you!

Unless calculus has changed, when evaluating a definite integral, i.e., one with limits, first one performs the integration on the expression and then one evaluates the result for the upper limit and subtracts the result evaluated for the lower limit. That of course means that the indefinite integral (without limits) has to be produced before evaluating the result using the limits. Considering that, here is the confusing situation I have run into. Maple returns an answer, complicated to be sure, but an answer to
int(sin(x)*sin(x^3+x), x = 0 .. infinity)
suggesting that it CAN integrate sin(x)*sin(x^3+x)

i have a project due in my calculus class on simple harmonic motion. i have to imput the equation of s=8cos((sqrt(2)/5)*pi*t) into maple, which i can do but then i am asked to solve the equation when t is equal to 0. now i know the answer is 8 but i have no idea to make maple do that using the equation already typed in. in addition to this, i then need to differentiate the s function in order to find v and a. i am also having a hard time doing this. if anyone knows how to put these in so they will work that would be a big help.

I am a high school math teacher with a subject degree. I have enrolled in a Calculus on the computer class and the course requirements required me to get maple 10. I was excited to get it. As I went through my calculus classes I don't believe maple was around. Anyway, the math of the subject is extremely easy as it should be. The hardest thing is getting the syntax of the commands. Remembering to put the ; at the end and stuff like that but im trudging through.
The reason for this email is this. I am highly considering Maple 11 in the fact that it allows text and stuff on the plots. So with this in mind I am also not seeing the way that I can learn this program well enough to make it useful in my classroom. I would absolutely love to use it for my classroom. I just don't see how to make it look good with the combination text and math in the worksheet view or even getting the document view going. I am a real newbie to this program and want to do so much more with this program. Is there anything that you'll can suggest?

Another pesky student question.
Is the speed of light an asymptotic, or limiting value that no other body can perfectly attain ?
Does light travel at exactly this value or very very close to it?
Would it make sense to try to exactly attain the value of c with something other than EM energy, or would our attempts be similar to taking a limit like in simple calculus ?
v/r,

Get this Quaternion Package from Maple's Application Center. Make sure you get the March 2007 version not the March 2005 version.

Overview on Hamilton Quaternions

A Hamilton Quaternion is a hypercomplex number with one real part (the scalar) and three imaginary parts (the vector).

This is an extension of the concept of numbers. We have found that a real number is a one-part number that can be represented on a number line and a complex number is a two-part number that can be represented on a plane. Extending that logic, we have also found that we can produce more numbers by adding more parts.

Quaternion --> a + b*i + c*j + d*k, where the coefficients a, b, c, d are elements of the reals

Download 1826_zernike.docView file details
Can you help me to create a code that calculate zernike moments, Zpq, with an image of 100x100, p=q=70? The formula is indicate in the file.
the objective is to use the symbolic calculus!! The problems are the time and the memory!!!
thanks for your help

February 06 2007
bobic 56
Hello, my problem is the memory!!
I have a P4 3.20GHz, with 2.00GB of RAM.
I must evaluate a 1296x10000 matrix that consists of complex number that derive from many calculus!
Maple software tell me that there isn't enough memory and the kernel connection is lost.
How can I solve the problem?
Marco