Advanced Search

Question: Complex Plots without a variable made me wonder.

Question:Complex Plots without a variable made me wonder.

The function 110 Maple
complex plotting
September 12 2022
0

Hello everybody, im at it again. Math with maple. I should be picking up some speed again to plow through this Dutch math book that explains Maple. It creeps me out.. But hey, im learning Maple in the process, and that is what its all about!

The example shows what is done. I made question a. happen, and the answer was right. The thing is with question b. they ask to plot the phase vectors alpha of f(t), g(t), and s(t), although there is no variable t in the phase vector. So how on earth will i plot it in the complex plane?

The literal translation of quesion b is: "check graphically the answer of part a. by drawing the phase vectors f(t), g(t), and s(t) in the complex plane."

I cant get it done. 

Would anyone know the right question. There were no graphs displayed at the answers in the back of the book. 

Thank you!

Greetings,

The Function

> 

Opdracht 2
> 

a.
> 

"f(t):=3*cos(2*t-Pi/(4))"

proc (t) options operator, arrow, function_assign; 3*cos(2*t-(1/4)*Pi) end proc

 (1)
> 

"g(t):=4*cos(2*t+Pi/(6))"

proc (t) options operator, arrow, function_assign; 4*cos(2*t+(1/6)*Pi) end proc

 (2)
> 

f(t)+g(t)

3*sin(2*t+(1/4)*Pi)+4*cos(2*t+(1/6)*Pi)

 (3)
> 

smartplot(3*sin(2*t+(1/4)*Pi)+4*cos(2*t+(1/6)*Pi))

 
> 

3*sin(2*t+(1/4)*Pi)+4*cos(2*t+(1/6)*Pi)

3*sin(2*t+(1/4)*Pi)+4*cos(2*t+(1/6)*Pi)

 (4)
> 

3*exp(I*(0-(1/4)*Pi))

(3/2)*2^(1/2)-((3/2)*I)*2^(1/2)

 (5)
> 

4*exp(I*((1/6)*Pi))

2*3^(1/2)+2*I

 (6)
> 

NULL
> 

3*sqrt(2)*(1/2)-(1/2)*(3*I)*sqrt(2)+2*sqrt(3)+2*I

(3/2)*2^(1/2)-((3/2)*I)*2^(1/2)+2*3^(1/2)+2*I

 (7)
> 

evalf(%)

5.585421959-.121320343*I

 (8)
> 

arctan((2-3*sqrt(2)*(1/2))/(3*sqrt(2)*(1/2)+2*sqrt(3)))

arctan((-(3/2)*2^(1/2)+2)/((3/2)*2^(1/2)+2*3^(1/2)))

 (9)
> 

evalf(%)

-0.2171747628e-1

 (10)
> 

5.585421959*cos(2*t-0.2171747628e-1)

5.585421959*cos(2*t-0.2171747628e-1)

 (11)
> 

smartplot(5.585421959*cos(2*t-0.2171747628e-1))

 
> 

b.
> 

"fc(t):=3*(e)^(I*(0-Pi/(4)))"

proc (t) options operator, arrow, function_assign; 3*exp(-((1/4)*I)*Pi) end proc

 (12)
> 

"gc(t):=4*(e)^((I*Pi)/(6))"

4*exp(((1/6)*I)*Pi)

 (13)
> 

"sc(t):=(3 sqrt(2))/2-(3 ⅈ sqrt(2))/2+2 sqrt(3)+2 ⅈ"

proc (t) options operator, arrow, function_assign; (3/2)*sqrt(2)-((3/2)*I)*sqrt(2)+2*sqrt(3)+2*I end proc

 (14)
> 

``

Download Mapleprimes_Question_Book_2_Paragraph_3.9_Question_2_b.mw
Please Wait...