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Find the derivative of f(x)=|(x^3)-8*(x^2)+5*x+4|-0.5*x;x in [-1,7]

Find critical points of f(x) and dertimine the local maxima and local minima.

Output: Two lists of points (x,y), a list of local minima and a list of local maxima.

Hint: you may use Maple package Student[Calculus1]]

     use first derivative test to avoid 'kink' point i.e. undifferentiable point

     set delta=0.0001, test derivative around critical point x+delta and x-delta...

Hello,

 

I am quite new to Maple and require some help on vector calculus. I have a differential operator in matrix form C that has to be applied to a column vector B.

C = [d/dx   0    d/dy]

      [0     d/dy  d/dx]  

and

B = [

I have been unable to get Maple Player to perform as I thought it would.  Actually I can only get it to work with the default functions.  Anytime I type in a function I get the following error message: "There was an error trying to generate the plot." or "There was an error during the differentiation of the input function." or "The input value "x

2

+4x+2" should be an algebraic expression." or "There was an error during the execution of finding the root."

I have a curve Tractrix: x(t)=1/cosht,y(t)=t-tanht

how I do?

  • Find the length of the tangent line from the tangent point to the asymptote
  • find the area between the curve and its asymptote
  • find the length of the curve from x-axis to a point on the curve
  • find the slope of the tangent line at any point along the curve

I hope you can help , its very important to me

kawakib

I've submitted an application to the Application Center: An Epidemic Model (for Influenza or Zombies).  This is an interactive Maple document, suitable for instructional use in an undergraduate course in mathematical biology or differential equations, or a calculus course that include differential equations. ...

Hey

I'm trying to solve this trigonometric equation:

e := 4·cos(t)+2·cos(2·t)=0. In the interval 0..2·Pi

However when i try: 

solve([e, 0 <= t <= 2 Pi], t, AllSolutions, explicit)

I won't give my a straight answer.

I have also given Student:-Calculus1:-Roots a try:

Student:-Calculus1:-Roots(e, t=0..2·Pi)

But it will only give me an answer when i use the numeric...

trig_integrals_prime.mw

if you put these integrals into Tool...Tutors...Calculus SV ....Integration methods, you get simpler "nicer" answers than when you integrate them directly in a worksheet (even after simplification).

why the difference?

 

Hi,

I am trying to simplify the expression s as given below. (I am not sure why it comes up with all the vector caclulus notation in it but it should display okay when you enter it)

Because of the presence of the exponential imaginary fucntions I thought evalc might be useful but when I use it I get a huge expression with csgn appearing in it. To my knowledge csgn appears when assumptions are not correctly specified - is this so? I can't see any assumption...

Hello!

I have a problem that has to do with the function dsolve in Maple 14.

This is my code:

I want to make a numerical approximation of the number Pi to a defect that is not more than 0.0001

Hello.

I was thinking about how I have used Maple for making animations. Thinking about it, I remembered an animation that I made to motivate the students of a calculus course. With this animation, I was searching to show the students the power of Maple.

I would like to see other animations for getting new and interesting ideas to show the students.

If you want to upload some animations, we could do a funny post with many animations.

This is for a calculus lab.  I need to show my students how to do this with Maple.

 

int(int(int(VectorCalculus[`*`](VectorCalculus[`+`](r^2, VectorCalculus[`*`](r, cos(theta))), r), z = 0 .. sqrt(VectorCalculus[`+`](a^2, VectorCalculus[`-`](r^2)))), r = 0 .. a), theta = 0 .. VectorCalculus[`*`](2, Pi))

It only does the inner integral and gives  ...

ans:=CompleteSquare(x^2+2*x)

                                             ans := (x+1)^2-1

ans1:=CompleteSquare(x^4+2*x^2, x^2)

Error, (in Student:-Precalculus:-CompleteSquare) arguments after the 1st should be a name, function, or a list or set of names or functions...

why won't VectorCalculus[Jacobian] accept vectors?

... to prevent me from frying my system? or is it an unnecessary restriction?

Here's what I mean:
Fvec := Vector([x[1]*x[2],3*x[3]]);
Xvec := Vector([x[1],x[2]]);
Flst := [x[1]*x[2],3*x[3]];
Xlst := [x[1],x[2]];
VectorCalculus[Jacobian](Fvec,Xlst);
VectorCalculus[Jacobian](Flst,Xlst);
VectorCalculus[Jacobian](Flst,Xvec);

Error, invalid input: too many and/or wrong type...
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