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Question: Problem with the assume and UseAssumptions

Question:Problem with the assume and UseAssumptions

Prof. Vicky Houle 20 Maple 2020
solve assumptions assume integral-equation
January 27 2022
3

I do not understand why what I do in my first example does not work in the problem of integral. Can anyone help me? Thank you very much!

 
> 

restart
> 

assume(x > 0)
> 

solve(x^2+3*x-4 = 0, x)

Warning, solve may be ignoring assumptions on the input variables.

  

1, -4

 (1)
> 

solve(x^2+3*x-4 = 0, x, UseAssumptions)

1

 (2)
   

Download First_example_Maple.mw

 
 
 
> 

f := proc (x) options operator, arrow; sin(100/(x+13)) end proc

proc (x) options operator, arrow; sin(100/(x+13)) end proc

(2.1.1)
> 

g := proc (x) options operator, arrow; 10/(10*x+3) end proc

proc (x) options operator, arrow; 10/(10*x+3) end proc

(2.1.2)
   
 
> 

A := fsolve(f(x) = g(x), x = 1.1)

1.049742001

(2.2.1)
> 

B := fsolve(f(x) = g(x), x = 1.7)

1.676209051

(2.2.2)
> 

C := fsolve(f(x) = g(x), x = 20)

19.35519742

(2.2.3)

 

 
> 

assume(E > C)

> 

solve(int(f(x)-g(x), x = C .. E) = 3, E, UseAssumptions)

Error, (in depends) too many levels of recursion

 
> 

fsolve(int(f(x)-g(x), x = C .. E) = 3, E)

12.00027508

(2.3.1)
> 

fsolve(int(f(x)-g(x), x = C .. E) = 3, E = 30)

28.05987548

(2.3.2)

La valeur de E cherchée est donc d'environ 28,06 unités.

Download Problem_of_integral.mw
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