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Tokoro

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These are questions asked by Tokoro

How to solve the length of AB by Maple?...

Tokoro 115 Maple
geometry
December 13 2022
3 1

Find the minimum length, l, of role pape...

Tokoro 115 Maple
puzzles
September 26 2022
0 0

I make new cone puzzle. However, I cat't make function l(θ). Can maple solve this puzzle?

θ=90 degree is a YouTube problem I found. 

 

How to solve ODE?...

Tokoro 115 Maple
ode differential-equations
June 13 2022
1 4

:RLC circuit I want to solve.

restart

with(DynamicSystems); with(inttrans)

E := 1; J := 3; R := 3; L := 1; C := 1/2

(1/s-6/s^2)/(s+3+2/s)

(1/s-6/s^2)/(s+3+2/s)

 (1)

i__RL := proc (t) options operator, arrow; invlaplace((1/s-6/s^2)/(s+3+2/s), s, t) end proc

proc (t) options operator, arrow; invlaplace((1/s-6/s^2)/(s+3+2/s), s, t) end proc

 (2)

"(->)"

-4*exp(-2*t)-3+7*exp(-t)

 (3)

e__C := proc (t) options operator, arrow; E-i__RL(t)*R-L*(diff(i__RL(t), t)) end proc

proc (t) options operator, arrow; E-i__RL(t)*R-L*(diff(i__RL(t), t)) end proc

 (4)

"(->)"

10+4*exp(-2*t)-14*exp(-t)

 (5)

plot([-4*exp(-2*t)-3+7*exp(-t), 10+4*exp(-2*t)-14*exp(-t)], t = 0 .. 10, color = [red, blue], thickness = 3, labels = ["t", "i(t)_red and vc(t)_blue"])

  

NULL

(1/s-6/s^2)/(s+3+2/s)

(1/s-6/s^2)/(s+3+2/s)

 (6)

"(->)"

[diff(x1(t), t) = x2(t), diff(x2(t), t) = -(1/3)*x3(t), diff(x3(t), t) = 6*x2(t)-3*x3(t)-3*u1(t), y1(t) = -6*x1(t)+x2(t)]

 (7)

How to solve this by Maple? The answer I want to solve is the plot shown above.

Download DynamicSystem-How_to_ODE.mw

How to plot the intersections of Zc and...

Tokoro 115 Maple
optimization intersection plotting
June 04 2022
2 4

How to plot  the intersection of Zc and Zs?

restart; with(plots)

m := 1; n := 2

``

Zc := proc (x, y) options operator, arrow; m*cos((1/180)*x*Pi)+n*cos((1/180)*y*Pi) end proc

Zs := proc (x, y) options operator, arrow; m*sin((1/180)*x*Pi)+n*sin((1/180)*y*Pi) end proc

plot3d([Zc(x, y), Zs(x, y)], x = 0 .. 180, y = 0 .. 180)

  

Z := proc (x, y) options operator, arrow; `intersect`(Zc(x, y), Zs(x, y)) end proc

proc (x, y) options operator, arrow; `intersect`(Zc(x, y), Zs(x, y)) end proc

 (1)

"How to plot intersect of Zc and Zs"?""

Download plot-15.mw

Why plot(F(R), R = 0 .. 100) doesn't wor...

Tokoro 115 Maple 2021
2dmath plotting
May 26 2022
2 0

How to plot F(R) for R=0..100 ?

Maple 2021 sheet attached.

restart; i := I``

with(LinearAlgebra)

E := 100

100

 (1)

"Z(R):=((5+5 i)*(R-10 i))/((5+5 i)+(R-10 i))"

proc (R) options operator, arrow, function_assign; (5+5*i)*(R-10*i)/(5-5*i+R) end proc

 (2)

"`I__R`(R):=E/(Z(R))"

proc (R) options operator, arrow, function_assign; E/Z(R) end proc

 (3)

"F(R):=|`I__R`(R)|"

proc (R) options operator, arrow, function_assign; abs(I__R(R)) end proc

 (4)

"plot(F(R),R=0..100)->"

  

NULL

Download How_to_plot_IR.mw

plot(F(R), R = 0 .. 100)

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