Kompyuterli matematik tizimlar fanidan mustaqil ta’lim

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Предмет	Информатика и ИТ

Kompyuterli matematik tizimlar fanidan mustaqil ta’lim

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Contents
LaTex tizimida ishlashMathCAD dasturidan foydalanish
MatLab dasturidan foydalanish
Mapledan foydalanib, aniq integrallarni hisoblash: Maple dasturidan foydalanish Reja

1. MathCAD dasturidan foydalanib, berilgan funksiyalarning
integrali va hosilasini toping:

1.f(x)= X 3
-9X 2
+24x-15
f’(x)=3x 2
-18x+24
F(x)=x 4
/4-(9*x 3
/3)+(24*x 2
/2)-15x
2.f(x)=x 3
-12x 2
-45x+51
f’(x)=3x 2
-24x-45
F(x)=x 4
/4-(12*x 3
/3)-(45*x 2
/2)+51x
3. f(x)=x 3
-3x+2
f’(x)=3x 2
-3
F(x)=x 4
/4-(3*x 2
/2)+2x 4.f(x)=-x 3
+9x 2
-24x+21
f’(x)=-3x 2
+18x-24
F(x)=-x 4
+9*x 3
/3+(24*x 2
/2)+21x
5.f(x)=x 3
+3x 2
-2
f’(x)=3x 2
+6x
F(x)=x 4
/4+(3*x 3
/3)-2x1. MathCAD dasturidan foydalanib, berilgan
funksiyalarning integrali va hosilasini toping:

Company Logo2.MatLab dasturidan foydalanib, quyidagi topshiriqlarni bajaring: -
matritsani shakllantirish; - berilgan matritsaning determinantini
hisoblash; - berilgan matritsaning teskarisini topish

1.MatLab dasturidan foydalanib, quyidagi topshiriqlarni
bajaring: Berilgan tenglamalar sistemasini matritsa usulida yeching 2- MUSTAQIL TA’LIM TOPSHIRIQLARI

3.Derive 6 dasturidan foydalanib, quyidagi funksiyalarning 1-,
2-, 3- tartibli hosilalarini toping va grafiklarini yasang: 1. ( ) ?????? ??????
= 2. ( ) = 3. ( ) = x
???????????????????????? ?????? ?????? ???????????????????????? ?????? ?????? ????????????

3- Mustaqil ta’lim topshiriqlari 1.Maple dasturidan foydalanib, quyidagi
topshiriqlarni bajaring: Ko‘phadlarni ko‘paytuvchilarga ajrating:

3.LaTex tizimida quyidagi formulalarni yozing:

$1. sin(x) - sin(y) = 2 sin((x - y)/2) cos((x + y)/2) \begin{aligned} \sin(x) - \sin(y) &= 2 \sin((x - y)/2) \cos((x + y)/2) \\ &= 2 \cdot \frac{1}{2} (\cos(x - y) + \cos(x + y)) \\ &= \cos(x - y) + \cos(x + y) \end{aligned} 2. cos(x) + cos(y) = 2 cos((x + y)/2) cos((x - y)/2) \begin{aligned} \cos(x) + \cos(y) &= 2 \cos((x + y)/2) \cos((x - y)/2) \\ &= 2 \cdot \frac{1}{2} (\cos(x - y) + \cos(x + y)) \\ &= \cos(x - y) + \cos(x + y) \end{aligned} 3. cos(x) - cos(y) = -2 sin((x + y)/2) sin((x - y)/2) \begin{aligned} \cos(x) - \cos(y) &= -2 \sin((x + y)/2) \sin((x - y)/2) \\ &= -2 \cdot \frac{1}{2} (\cos(x - y) - \cos(x + y)) \\ &= -\cos(x - y) + \cos(x + y)$ $\end{aligned} 4. cos(x) ± sin(x) = √2 sin( π/4 ± x) \begin{aligned} \cos(x) \pm \sin(x) &= \sqrt{2} \sin(\pi/4 \pm x) \\ &= \sqrt{2} (\cos(\pi/4) \sin(x) \pm \sin(\pi/4) \cos(x)) \\ &= \sqrt{2} (\cos(\pi/4) \sin(x) \pm \cos(\pi/4) \cos(x)) \\ &= \boxed{\sqrt{2} (\cos(\pi/4 + x) \text{ or } \cos(\pi/4 - x))} \end{aligned} 5. A cos(x) + B sin(x) = √(A^2 + B^2) sin(x + φ) \ begin{aligned} A \cos(x) + B \sin(x) &= \sqrt{A^2 + B^2} \sin(x + \varphi) \\ \frac{A}{\sqrt{A^2 + B^2}} \cos(x) + \frac{B}{\sqrt{A^2 + B^2}} \sin(x) &= \ sin(x + \varphi) \\ \cos(\alpha) \cos(x) + \sin(\alpha) \sin(x) &= \sin(x + \varphi) \\ \cos(x - \alpha) &= \sin(x + \varphi) \end{aligned}$

Kompyuterli matematik tizimlar fanidan mustaqil ta’lim

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