Maple7 dasturi yordamida Oliy matematika masalalarini yechish

> taylor( cos(x), x=0 ,8);

Yoyilmadagi yaqinlashmalar:
> with(Student[Calculus1]):
> TaylorApproximation(cos(x) , x = 0, order = 1..5);

x=0 nuqtadagi yoyilma bo‘yicha yaqinlashmalarni ko‘rsatuvchi grafik:
> with(Student[Calculus1]):
> TaylorApproximation(cos(x),0,outut=plot,order=1..5,
view = [-5..5, -2..2], thickness=2);

Funktsiyalarning yoyilma funktsiyalari bo‘yicha yaqinlashmalar grafigini animatsion jarayonni muloqat oynasida ko‘rsatish:
> with(Student[Calculus1]):
TaylorApproximationTutor();
TaylorApproximationTutor(sin(x), 0);
TaylorApproximationTutor(cos(x), 0);
TaylorApproximationTutor(ex(x), 0);


8 – MUSTAQIL ISHLASH UCHUN TOPSHIRIQLAR

1.Quyidagi tenglamalar bilan berilgan egri chiziqlarning ko‘rsatilgan nuqtasidagi urinma, urinma osti, normali va normal osti uzunliklarini hisoblang	2. Quyidagi tenglamalar bilan berilgan chiziqlarning kesishish burchagini toping.	3. Quyidagi funktsiyalarni ko‘rsatilgan nuqtadagi Teylor formulasi bo‘yicha yoyilmasini toping
1. y=tg2x, O(0;0) 2. , y=0 3. y=arccos3x, x=0 4, y=lnx, y=0 5. , (2;2) 6. x=tcost, y=tsint, t=π/4 7. x^3+y^2+2x-6=0, y=3 8, x^5+y^5-2xy=0, (1;1) 9. y=(x-1)(x-2)(x-3), y=0 10. y^4= 4x^4+8xy, (1;2)	1. y=(x-2)^2, y=-4+6x-x^2 2. y=3x^3-4x+2, y=2-x 3. x^2+y^2=2, x+2y=2 4. x^2+y^2=2, y=x^2 5. x^2+y^2=2, x^2-y^2=1 6. x^2/4+y^2/9=1, y^2=4-x 7, x^2/9+y^2/4=1, y=x^2 8. x^2/9+y^2/4=1, y=x^2 9. x^2+y^2=2, (x-1)^2+y^2=1 10. y=x^2, y=-x^2+1	1. y=lnx, x=1 2. y=1/x, x=1 3. y=1/(x^2), x=-1 4. y=1/(x^2+3x+2), x=-4 5. y=1/(x^2+4x+7), x=-2 6. y=e^x, x=-2 7. y= , x=4 8. y= , x=1 9. y= , x=0 10. y= , x=0

.7. 5. Funktsiyani tekshirish va grafigini qurish