1-Mavzu: Mapleda Differentsiallash va integrallash buyruqlari Reja

optionsfeasible=(color=red) – ichki soha rangini o’rnatadi;

optionsexcluded=(color=yellow) – tashqi soha rangini o’rnatadi;

optionsopen(color=blue, thickness=2) – ochiq chegara chizig’ining qalinligi va rangini o’rnatadi;

o ptionsclosed(color=green,thickness=3) – yopiq chegara chizig’ining qalinligi va rangini o’rnatadi;

Misollar
1.Oshkora berilmagan (giperbola) funksiya grafigini chizing: .
Quyidagilarni tering.
> with(plots):
> implicitplot(x^2/4-y^2/2=16, x=-20..20, y=-16..16,color=green, thickness=2);


2. Bitta rasmda ellipsga ichki chizilgan astroidalar grafigini yasang .Astroida va Ellips o’qlari nomlarini yog’li

shriftda hosil qiling. Buning uchun quyidagilarni tering:

> with(plots):
> eq:=x^2/16+y^2/4=1: el:=implicitplot(eq, x=-4..4, y=-2..2, scaling= CONSTRAINED,color=green, thickness=3): as:=plot([4*cos(t)^3,2*sin(t)^3, t=0..2*Pi], color=blue, scaling= CONSTRAINED, thickness=2):
> eq1:=convert(eq,string): t1:=textplot([1.5,2.5,eq1], font=[TIMES,ITALIC, 10], align=RIGHT):
> t2:=textplot([0.2,2.5,"Ellips:"], font=[TIMES, BOLD,10], align=RIGHT):
> t3:=textplot([1.8,0.4,Astroida], font=[TIMES, BOLD,10], align=LEFT):
> display([as,el,t1,t2,t3]);

3. x + y > 0, x – y <= 1 chiziqlar bilan chegaralangan sohani hosil qiling. Quyidagi satrlarni tering:
> with(plots): inequal({x+y>0, x-y<=1, y=2}, x=-3..3, y=-3..3, optionsfeasible = (color=red), optionsopen= (color= blue,thickness=2), optionsclosed= (color = green, thickness=3), optionsexcluded=(color=yellow) );

2. Uch o’lchovli grafika.
Animasiya. Aniq ko’rinishdagi funksiya bilan berilgan sirt grafigi.
z = f(x,y) funksiya grafigi chizish uchun plot3d(f(x,y), x=x1…x2, y=y1…y2, options) buyrug’idan foydalanish mumkin. Bu buyruqning parametrlari plot buyrug’i parametrlari bilan mos tushadi.
style=opt parametri tasvir stilini beradi: POINT –nuqtalar, LINE – chiziqlar, HIDDEN – ko’rinmas chiziqlardan iborat to’r, PATCH – to’ldiruvchi, WIREFRAME – ko’rinmas chiziqlarni chiqaradigan to’r, CONTOUR – chiziq darajasi, PATCHCONTOUR – to’ldiruvchi va chiziq darajasi.
shading=opt parametr to’ldiruvchi intensivlik funksiyasini beradi, jimlik bo’yicha uning qiymati xyz ga teng, NONE – rangsiz.