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9
: . 7404 . .
: . .
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: "MathCAD".
:
1)
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f(x) = √3sin(x) + cos(x) g(x) = cos(2∙x + π/3) 1
a) f(x) = g(x).
b) h(x) = f(x) g(x) [0;(5∙π)/6].
2) , , Vx Vy.
: f(x) f1(x), .
cspline(Vx,Vy), pspline(Vx,Vy), lspline(Vx,Vy) interp(Vk,Vx,Vy,x).
.
(, , , , .) .
1
: f(x) = g(x) h(x) = f(x) g(x) [0; (5∙π)/6].
1.1 f(x) = g(x)
( f(x) = g(x))
: f(x) = g(x) = 
.
1.2 h(x) = f(x) g(x) [0; (5∙π)/6]
, (0;1), (1; 
).
( , h(x) )
( h(x))
:
((5*π)/6; 0)
(1,047; 4)
:
[0; 1,047)
(1,047; (5*π)/6)
:
f(x)≠f(-x), , .
:
( h(x))
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, h(x) . (0,111 1,983) [0; (5∙π)/6]. .
(0,111;1,983).
2
: , , Vx Vy ( 1).
: f(x) f1(x), .
cspline(Vx,Vy), pspline(Vx,Vy), lspline(Vx,Vy) interp(Vk,Vx,Vy,x).
| 5,0 | |
| 0,5 | 4,7 |
| 1,4 | 5,7 |
| 2,25 | 5,333 |
| 3,5 | 4,667 |
x = 2,6. x = 1,6
cspline, pspline, lspline:
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(, )
(, )
( 1,6)
( , )
( cspline)
( pspline)
( lspline)
: lspline.
3
: [5].
(, , , , .) .
: n 1, 2,..., n m : , , . i -o j - . ij. , , - i. j, j - . , , .
| , i | , i | ||||
| 1 | 2 | 3 | 4 | ||
| , j |
(- . I )
(- . II )
(- . III )
(- . IV )
