Maple 17 Questions and Posts

These are Posts and Questions associated with the product, Maple 17

I have the following sequence: n2/n2+31n+228.The question asks me to use an appropriate conditional statement to find N such that absolute (xn-x0)<epsilon for every n>=N. I found N but i don't know how to find it using Maple17.Can you please help me?

 

Hi. I'm hacing trouble writing a maple procedure for the question below, can anyone help?

 

Write a maple procedure which takes as its input the vectoeat u1 and u2 and the eigenvectors lambda1 and lambda2 where u1,u2 are element of R^2 and the lambdas are real numbers.

If u1,U2 is linearly independent then the output is the matrix A an element of R^2x2 with the property that Au1= lambda1u1 and AU2=lambda2u2;

if u1,u2 is linearly dependent then the output is the statement "not an eigenbasis".

 

I I then have two inputs which I have to do but I'm not sure on how to write the procedure. Any help will be much appreciated.  

 

Thanks :)

 

 

Dear all,

I developed a program to solve f(x, y) = 0 and g(x, y) = 0, I obtained as results (x=2.726, y=2.126) . running the same program another time it gives (x=2.762, y=1.992). how to explain this?

> fsolve({f(x, y) = 0, g(x, y) = 0}, {x = 0 .. infinity, y= 0 .. infinity});

Thanks in advance.

So have to calculate frequency response of RLC-circuit
Long story short - I can't get how to solve something like this
solve(abs(I+x) = 1)
Obv - the answer is 0 or -I, but i get 1-I, -1-I instead

It's been a couple of years since I last used the Excel add-in for Maple 17. It was working before, but now it isn't.

When I click any of the Maple icons in the Excel Add-Ins -> Custom Toolbars tab, I get a Visual Basic run-time error 453, "Can't find DLL entry point vbLoadMapleCursor in WMIMPLEX". The only choice in the dialogue is End, after which none of the Maple icons respond.

When I quit Excel after trying this, I get the same error dialogue except the message refers to vbMapleQuit. I select End, and then Excel exits. (If I don't touch the Maple icons during an Excel session, then of course no VB error dialogue referring to Maple pops up.)

An answer to a ten year old MaplePrimes question on the Excel add-in suggests editing the Excel 2010 32-bit path registry entry. Indeed my HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\App Paths\Excel.exe Path key has no reference to Maple. However that info is so old, for Maple 9.5, that I hesitate to use it. I tried though. As suggested in that question, updated for Maple 17, I tried adding ";C:\Program Files (x86)\Maple 17\Excel\" to the end of the existing Path key entry, but I still get the same VB error. I also tried adding ";C:\Program Files (x86)\Maple 17\bin.win\", and both: "C:\Program Files (x86)\Maple 17\bin.win\;C:\Program Files (x86)\Maple 17\Excel\". I tried disabling and reloading the add-in from the Excel Add-Ins menu. Interestingly, even when I disable the add-in, the toolbar icons still show.

Anyway I'm at a loss how to proceed. Any help is appreciated. --Graham

So im trying to solve multiple ODES using dsolve(numeric) but I jsut cant get it to work.

I kep getting this one error: 

Error, (in f) unable to store '-HFloat(0.020918994979034728)-HFloat(0.09184018333019917)*I' when datatype=float[8]

 

This is my uploaded file 

(for some reason the uploaded file didnt show the error at the bottom so i just pasted it in the spot it would appear.

Download CHE504_HW5.mw

> 

Given:

> 

restart

> 

dt := 2.07*0.254e-1

0.52578e-1

(1)
> 

dto := 2.38*0.254e-1

0.60452e-1

(2)
> 

ho := 5000

5000

(3)
> 

``

> 

Ltube := 5

5

(4)
> 

``

> 

Po := 2.5

2.5

(5)
> 

To := 350

350

(6)
> 

dp := 0.3e-2

0.3e-2

(7)
> 

tau := 3

3

(8)
> 

dpore := 5.2*10^(-9)

0.5200000000e-8

(9)
> 

kfluid := 0.485e-1

0.485e-1

(10)
> 

ksolid := 1.67

1.67

(11)
> 

kpipe := 17

17

(12)
> 

Cpair := 1.01

1.01

(13)
> 

`&mu;_air` := 3.16*10^(-5)

0.3160000000e-4

(14)
> 

rho := P(z)*(28.9*(1/1000))/(Rgas*(T(z)+273.15))

0.2890000000e-1*P(z)/(Rgas*(T(z)+273.15))

(15)
> 

``

> 

Rgas := 8.2057*10^(-5)

0.8205700000e-4

(16)
> 

``

> 

``

> 

density calculation n/v = (P/RT)*mw_air, kg/m^3

> 

``

> 

`&rho;i` := (2.5*28.966)/(0.82057e-1*(350+273.15))

1.416186012

(17)
> 

NULL

> 

Volumetric flow, m^3/s

> 

((1/60)*((1/300)*((1/1000)*(180*1000000)*.4535)*(1/24))*(1/60))/(1.416)

0.2224085844e-2

(18)
> 

``

> 

NULL

> 

Superficial velocity, m/s

> 

NULL

> 

Vsi := evalf(%/((1/4)*Pi*(2.07*0.254e-1)^2))

1.024362190

(19)
> 

Gs constant, kg/m^2-s

Error, missing operator or `;`

 
> 

Gsi := `&rho;i`*Vsi

1.450687405

(20)
> 

Gs := 1.45

1.45

(21)
> 

``

> 

``

> 

NULL

> 

Void fraction, epsilon,b

> 

`&epsilon;b` := .38+0.73e-1*(1+(0.525e-1/(0.3e-2)-2)^2/(0.525e-1/(0.3e-2))^2)

.5102677551

(22)
> 

hi

> 

hi := 3.6*kfluid*(dp*Gs/(`&mu;_air`*`&epsilon;b`))^.365/dp

448.9928888

(23)
> 

kinetic parameter

> 

K := ln(19.837-13636/(T(z)+273.15))

ln(19.837-13636/(T(z)+273.15))

(24)
> 

radial disperssion Coeff

> 

Dr := Vs*dp/(9*(1+19.4*(dp/dt)^2))

0.3135309899e-3*Vs

(25)
> 

thermal conductivity calculations

> 

Kbs := kfluid*(`&epsilon;b`+(1-`&epsilon;b`)/(2/3*(1+kfluid/ksolid)))

0.5937050269e-1

(26)
> 

``

> 

Kbd := `&epsilon;b`*Cpair*Gs*dp/(9*(1+19.4*(dp/dt)^2))

0.2342976727e-3

(27)
> 

KB := Kbs+Kbd

0.5960480036e-1

(28)
> 

Heat of reaction (deltaH), Find heat of formation for each reactant and product--> dHrxn = heat of formation(product)-heat of formation(reactant)

Error, missing operator or `;`

 
> 

heat of formation = A + B*T + C*T^2

> 

Hfacrolein := -7.076*10+(-5.59*10^(-2))*(273.15+350)+3.86*10^(-5)*(273.15+350)^2

-90.60509039

(29)
> 

Hfwater := -238.41-0.122e-1*(350+273.15)+2.76*10^(-6)*(273.15+350)^2

-244.9406781

(30)
> 

Hfpropylene := 3.62*10+(-6.49*10^(-2))*(273.15+350)+3.049*10^(-5)*(273.15+350)^2

7.59731748

(31)
> 

`&Delta;Hrxn` := Hfacrolein-Hfwater-Hfpropylene

146.7382702

(32)
> 

Solving nodified Ergun Equation

> 

f := (1-`&epsilon;b`)*(1.75+(150*(1-`&epsilon;b`))*`&mu;_air`/(dp*Gs))/`&epsilon;b`

2.191735176

(33)
> 

``

> 

Determining U of the wall and Ueffective

> 

``

> 

``

> 

Uwall := 1/(1/hi+ln(dto/dt)/(2*ksolid)+1/ho)

22.61972270

(34)
> 

``

> 

Ueff := 1/(1/Uwall+(1/2)*dt/(4*KB))

6.473624190

(35)
> 

ode1 := Gs*(diff(Cprop(z), z))/rho = -K*Cprop(z)

0.4117046714e-2*(T(z)+273.15)*(diff(Cprop(z), z))/P(z) = -ln(19.837-13636/(T(z)+273.15))*Cprop(z)

(36)
> 

ode2 := Gs*Cpair*(diff(T(z), z)) = -K*Cprop(z)*`&Delta;Hrxn`-4*Ueff*(T(z)-350)/dt

1.4645*(diff(T(z), z)) = -146.7382702*ln(19.837-13636/(T(z)+273.15))*Cprop(z)-492.4968000*T(z)+172373.8800

(37)
> 

ode3 := diff(P(z), z) = -f*Gs^2/(rho*dp)

diff(P(z), z) = -4.361346783*(T(z)+273.15)/P(z)

(38)
> 

Ics1 := Cprop(0) = 0.3e-1

Cprop(0) = 0.3e-1

(39)
> 

Ics2 := T(0) = 350

T(0) = 350

(40)
> 

Ics3 := P(0) = 2.5

P(0) = 2.5

(41)
> 

NULL

> 

dsolve({Ics1, Ics2, Ics3, ode1, ode2, ode3}, {Cprop(z), P(z), T(z)})

Error, (in f) unable to store '-HFloat(0.020918994979034728)-HFloat(0.09184018333019917)*I' when datatype=float[8]

 

 
> 

NULL

> 

NULL

> 

``

Hello everyone, how can this error be corrected

pde.mw

Thanks.

I'm not really an expert in maple. I'm stuck with a problem that could be related to the precision of the computational engine...

I defined a function which is relatively complicated as follows:

m := proc (x, l, T) options operator, arrow; (exp(l*(x-T)/(1-exp(-l*T)))*exp(l*T/(1-exp(-l*T)))*(1-exp(-l*T))+(2-exp(-l*T)-exp(l*T))*exp(l*(x-T)/(1-exp(-l*T))))/(exp(l*T)-1)-(l*(x-T)*exp(l*(x-T)/(1-exp(-l*T)))-2*exp(-l*T)+4-2*exp(l*T))/(exp(l*T)-1) end proc

whenever i simplify the equation or factor some of the terms, I get completely different results.

As an example, you can define this function as follows

m := proc (x, l, T) options operator, arrow; (exp(x*l/(1-exp(-l*T)))*(1-exp(-l*T))+(2-exp(-l*T)-exp(l*T))*exp(l*(x-T)/(1-exp(-l*T))))/(exp(l*T)-1)-(l*(x-T)*exp(l*(x-T)/(1-exp(-l*T)))-2*exp(-l*T)+4-2*exp(l*T))/(exp(l*T)-1) end proc

 

By drawing the function, you can see how things get messy.

plot(m(450, (1/250)*x, 250), x = 0 .. 100)

 

I know the problem occurs as a results of computation round-off. How could I ameliorate that? I have already increase the precision in the option menu, but that didn't help. By the way, how can I be sure that the anwers maple gives me is correct, except using my intuition?

 

Hello everyone!

i want to make a triangle which height's is a. Sorry, my English is not very good!

And I writed it by C language, but It is not right in maple. and I don't know. Can you help me? thank you very much! triangle.mw

with sin(x) and cos(x). how to draw  this graph:

 

question.mw

``


thanks you!!!

Download question.mw

why the the software can't plot the function like x^(4/3)*sin(1/x) or x^(1/3)

it could only plot where x>0,but the value is does exist where x<0.

Thanks in advance for your help.

Hi Everyone,

I want to draw a 3D cylindrical object with follwoing constraint:

(1) For z=0 to 5, it should be a cylinder with radius 2 units

(2) For z = 10 to 20, it should be a cylinder with radius 8 units

(3) Connecting piece between z=5 to 10 is a type of cylinder such that its radius increses from 2 to 8 as z moves from 5 to 10.

 

I know how to draw (1) and (2) individually, but can't make a connecting object.

Can anyone help me drawing that object?

Thanks in advance.

hello

I have recently install Maple17 on my computer (Windows10) and I need to use some Greece alphabet such as ß but I look everywhere in maple's icon and I just could find capital Greece alphabet.

does anybody know how can I find those?

 

 

The plot command outputs a graph of symbols where the line is made up of "H"s, vertical lines on the axes are "+"s, horizontal lines on the axes are "-"s, and intercepts are "*"s.

 

How do I fix this problem so that the graph displays a graph normally?

I have several *.mw files which I have built seperately. Now, for readability reasons, I would like to create a Master document, which will ues the first files, and then generate a PDF document.
I tried the read command, but it does not recognize the files.

Any help is appreciated.

 

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