Maple 2019 Questions and Posts

These are Posts and Questions associated with the product, Maple 2019

I have some more questions, now i get some more odd situations where an obvious answer cannot be given by solve. And a funtion cannot be plotted somehow. 

Here is the file. I tried to understand why, but it is not happening. They did it on purpose (i guess) to get simple questions, and show you that Maple sometimes does not have the answer right away. So you run into the "limitations" of the program right away so you are aware what could go wrong.

Find x with the help of a graph from: 2^x<1/2*x^2+2  

smartplot([2^x, (1/2)*x^2+2])

 

solve(2^x = (1/2)*x^2+2, x)

Warning, solutions may have been lost

 

RootOf(_Z^2-2*2^_Z+4)

(1)

"f(x):=2^(x)"

proc (x) options operator, arrow, function_assign; 2^x end proc

(2)

"g(x):=1/(2)x^(2)+2"

proc (x) options operator, arrow, function_assign; (1/2)*x^2+2 end proc

(3)

evalf(solve(f(x) = g(x), x))

Warning, solutions may have been lost

 

.8841764608-2.067784075*I

(4)

While the answer is obviously x=2 to be equal, and thus for values of x= (infinity;2> g(x) is larger, even if you would manually fill in the equetions,you get a value of 2. Both sides would get a solution of y=4. Somehow Maple does not give a straight answer.

``

2nd question
I have to plot this function, and it wont let me plot it..

"f(x):=(-2)^(x)"

proc (x) options operator, arrow, function_assign; (-2)^x end proc

(5)

plot(proc (x) options operator, arrow, function_assign; (-2)^x end proc)

 

I am not seeing a line, it is so odd.

``

Download Applied_Math_Part_1_questions_part_two.mw

The function

Hello, ive got some trouble calculating this problem. Ive been looking at it for quite some time. I suspect you first need to differentiate to get the minimum value and then make it back to p. Time is ticking away, and i can just cant get it right. Its 2 questions out of some Dutch mathbook from 2007. It has a lot of Maple in it too. Just so to get a broad a view on maple as possible. I must say these maplebooks have quite the repertoirs. The other book "Advanced Problem Solving Using Maple" book turns you into some British chap. And this book:"toegepaste Wiskunde voor het hoger beroepsonderwijs deel 1"(translated applied math for higher job education part 1), turns you into the odd obnoxious Dutch mathematician... Well what can i say??

Here are the questions: 

1st Question:
For which values of p does the graph of the function: y=f(x)=(p*x^2)+3*p*x+1 have one intersection with the x-axis? When does it have two intersections with the x-axis? When does it have no intersections with the x-axis. 

2nd Question:
Given functions are: y=f(x)=(x^2)-6x+p+3, and y=g(x)=(4x^2)-(p-8)x+7. When do these functions have the same minimum value. Calculate p and the minimum value.

Greetings,

1st Question:
For which values of p does the graph of the function: y=f(x)=(p*x^2)+3*p*x+1 have one intersection with the x-axis? When does it have two intersections with the x-axis? When does it have no intersections with the x-axis.  

f(x) = p*x^2+3*p*x+1

f(x) = p*x^2+3*p*x+1

(1)

NULL

restart

2nd Question:
Given functions are: y=f(x)=(x^2)-6x+p+3, and y=g(x)=(4x^2)-(p-8)x+7. When do these functions have the same minimum value. Calculate p and the minimum value.

f(x) = x^2+p-6*x+3

f(x) = x^2+p-6*x+3

(2)

g(x) = 4*x^2-(p-8)*x+7

g(x) = 4*x^2-(p-8)*x+7

(3)

``

Download Applied_Math_Part_1_questions.mw

the function

Hello, There seems to be a bug in the int() routine when CPV is being used i.e.

restart;
f1 := (int(t^(2*a - 1)/(-t^2 + 1), t = 0 .. infinity, CPV = true) assuming (0 < a, a < 1));

the result given is

f1 := Pi/(2*sin(Pi*a)*(-1)^(1 - a))

but the correct result is

f1 := Pi/2*cot(Pi*a).

 

Dear everyone, ive been trying to get to learn Maple, and i am using the book: Advanced Problem
Solving Using Maple. 

I am having issues with not getting the same results as the examples. Although i am using the same imput as the examples. So to me that is really odd. I also noted to get the same results as the examples, i had to change the imput to get there. Now this is a bit more complex problem, and i cant figure out where it went wrong. 

Can you help me?

It did seem to produce the answers, however not in the same fashion as the example in the book. I still had to add the values together. No the solution i got is not what i am looking for. 

Greetings,

 

The Function 


 

DDS := a(n+1) = (1+.12*(1/12))*a(n)+1000

a(n+1) = 1.010000000*a(n)+1000

(1)

rsolve({DDS, a(0) = 0}, a(n)); a := unapply(%, n)

proc (n) options operator, arrow; 100000*(101/100)^n-100000 end proc

(2)

plot([-100000+100000*(101/100)^n], n = 0 .. 100, a = 0 .. 200000)

 

pts := {seq([k, a(k)], k = 0 .. 24)}; plot(pts, style = point, title = "Savings Account with Monthly Deposit")

 

rsolve({a(0) = 497.5124378, a(n+1) = -1.01*a(n)+1000}, a(n))

-(11/1005000000)*(-101/100)^n+100000/201

(3)

plot([-(11/1005000000)*(-101/100)^n+100000/201], n = 0 .. 20, a = 0 .. 1000)

 

solve(ev = -1.01*ev+1000, ev)

497.5124378

(4)

rsolve({a(n+1) = .5*a(n)+16}, a(n))

a(0)*(1/2)^n-32*(1/2)^n+32

(5)

rsolve({a(0) = 10, a(n+1) = .5*a(n)+16}, a(n))

-22*(1/2)^n+32

(6)

smartplot(-22*(1/2)^n+32)

 

rsolve({a(0) = 20, a(n+1) = .5*a(n)+16}, a(n))

-12*(1/2)^n+32

(7)

smartplot(-12*(1/2)^n+32)

 

rsolve({a(0) = 32, a(n+1) = .5*a(n)+16}, a(n))

32

(8)

rsolve({a(0) = 50, a(n+1) = .5*a(n)+16}, a(n))

18*(1/2)^n+32

(9)

smartplot(18*(1/2)^n+32)

 

solve(ev = .5*ev+16, ev)

32.

(10)

solve(ev = .5*ev+64, ev)

128.

(11)

rsolve({a(0) = A, a(n+1) = .5*a(n)+64}, a(n)); a := unapply(%, [A, n])

A*(1/2)^n+128-128*(1/2)^n

(12)

inits := [0, 50, 100, 150, 200]

gen := proc (i, j) options operator, arrow; evalf(a(inits, i)) end proc

proc (i, j) options operator, arrow; evalf(a(inits, i)) end proc

(13)

DrugConcTable := Matrix(10, 5, gen)

Matrix(%id = 18446746425282593366)

(14)

help("matrix")

``

``


 

Download Discrete_Dynamical_Models_2.mw

 

This research work demonstrates the use of the MapleSim and Python scientific packages for the correct use of differential equations for engineering students, in the face of the pandemic generated by COVID-19. The main objective is to visualize the teaching and learning process of the subject presented. The methodology used is block diagrams using graphic programming and the one-dimensional symbolic structure. The results are totally optimal since automation was achieved in the differential equations applied to different engineering cases. The applications generated by the scientific software are fully upgradeable and available in the cloud.

Ponencia_CIMAC_2021.pdf

Lenin AC

Ambassador Maple

hello everyone, i have an idea how to implement adomain decomposition method manually but want to transform the whole method on maple for any kind of non-linear ode.

Respected administration I already posted the same question for the other method, pls do not delete my question

 

help_adomian_decomposition_method.mw

how to delete account from this site?

 

 

 How to insert legends in the surfdata?

plots:-surfdata({Mat1}, ll1 .. ul1, ll2 .. ul2, dimension = 2, colorscheme = ["Blue", "Green", "Yellow", "Red"], axes = boxed, axesfont = [TIMES, BOLD, 16], axis = [thickness = 2], labelfont = [TIMES, BOLD, 16], labels = ["R", "Ma"])

Hello everyone,

I am presently carrying out some computation of which I intend to solve some equations and get the preceeding values. But it would appear that my maple software just keeps showing evaluating without actually producing any results for hours even days. Is this due to my low laptop specs? 

I would love if the community can take a look at the code, and possibly run it to see if it's ok. I have attached the code for reference. 

Thank you.

 


test.mw

 

Please help me to solve the system of nonlinear ordinary differential equations with the help of the Homotopy perturbation method in MAPLE. I have attached a worksheet please check.  Please please help me.

Thank you

HELP.mw

I need the non-dimensional form of PDE with given non-dimensional variables. I have attached a worksheet please check it. 

Thank you nondimensional.mw

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/nondimensional.mw .
 

Download nondimensional.mw

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/nondimensional.mw .
 

Download nondimensional.mw

 

 

Hi, Can one have look at my attached picture of the problem then solve in maple to get the required results mentioned in the picture.

help.mw

Hi experts, I need your help to find higher-order prolongation(extended infinitesimals) with the help of infinitesimals. rhelp1.mw

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/help1.mw .
 

Download help1.mw

in MAPLE. I have attached a worksheet please check it.

Kindly help me to find it

Thank you.

I have attached a maplework please check it. I want to solution graph by using RK 4th order with shooting technique or RK Fehlberg method. help.mw

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/help.mw .
 

Download help.mw

 

Hello there, 

While I was trying to calculate the complex (i.e., P and Q) power equations, I got this question. 

Thus, I wonder if I can have a chance to ask the question here:

a. When the voltage and current are defined as functions, taking the t (time) as a input variable, I was not able to get the proper outcome from the operation. Those attempts are labeled as '#1' and '#2' in the attached worksheet. 

b. When the voltage and current are defined as simple complex expression, I was able to see what I wanted. The expression is named as 'ideal' in the attached worksheet. 

c. Therefore, my question is to see if there is a way to make the operaion using the functions in the same way as done by the simple expressions. 

d. Any insight would be appreciated. 

Thank you. 

Q20210617.mw

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