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1
Numerical Method Analysis :
Solve the following system using Gauss seidal iterative method with initial guess (0, 0, 0) and tolerance 0.001. $\left\{\begin{matrix} 2x_{1}-3x_{2}+x_{3} = 5\\ x_{1}+4x_{2}+12x_{3} = 10\\ 6x_{1}+x_{2}+5x_{3} = 9 \end{matrix}\right.$
Solve the following system using Gauss seidal iterative method with initial guess (0, 0, 0) and tolerance 0.001.$\left\{\begin{matrix} 2x_{1}-3x_{2}+x_{3} = 5\\ x_{1}+4x_...
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2
LU decomposition
Use LU Decomposition method to solve the following system. $\left\{\begin{matrix} & x_{1} +x_{2}-x_{3} =1 \\ & x_{1} +2x_{2}-2x_{3} =0 \\ & -2x_{1} +x_{2}+x_{3} =1 \end{matrix}\right.$ ...
Use LU Decomposition method to solve the following system.$\left\{\begin{matrix} & x_{1} +x_{2}-x_{3} =1 \\ & x_{1} +2x_{2}-2x_{3} =0 \\ & -2x_{1} +x_{2}+x_{3} =1 \end{ma...
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3
Numerical Method Analysis : Help...
Solve the following system using Gauss elimination with partial pivoting. $\left\{\begin{matrix} &2x_{1}+x_{2}+x_{3}=10\\ & 3x_{1}+2x_{2}+3x_{3}=18 \\ & 5x_{1}+4x_{2}+2x_{3}=9 \end{matrix}\right.$ ...
Solve the following system using Gauss elimination with partial pivoting.$\left\{\begin{matrix} &2x_{1}+x_{2}+x_{3}=10\\ & 3x_{1}+2x_{2}+3x_{3}=18 \\ & 5x_{1}+4x_{2}+2x_{...
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4
Numerical Method Analysis : Help...
Use Secant method to find roots of: $x^3-2x^2+3x-5=0$ $x+1 = 4sinx$ $e^x = x + 2$
Use Secant method to find roots of:$x^3-2x^2+3x-5=0$$x+1 = 4sinx$$e^x = x + 2$
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5
Numerical Method Analysis : Help....
Use NR method to find a root of the equation with tolerance x=0.00001. $x^3-2x-5=0$ $e^x-3x^2=0$
Use NR method to find a root of the equation with tolerance x=0.00001.$x^3-2x-5=0$$e^x-3x^2=0$
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6
Numerical Method Analysis : Help...
Use Bisection method to find all roots of $x^3 – 5x + 3 = 0$
Use Bisection method to find all roots of $x^3 – 5x + 3 = 0$
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Numerical Method Analysis : Help...
Use Bisection method to find the root of the following equation with tolerance 0.001. $x^4 - 2x^3 - 4x^2 + 4x + 4 = 0$ $x^3 – e^x + sin(x) = 0$
Use Bisection method to find the root of the following equation with tolerance 0.001.$x^4 - 2x^3 - 4x^2 + 4x + 4 = 0$$x^3 – e^x + sin(x) = 0$
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8
Linear Algebra, Vectors
What is the equation of the plane that contains point (-2, 4, 5) and the vector (7, 0, -6) is normal to the plane? And check if this plane intersects the y-axis.
What is the equation of the plane that contains point (-2, 4, 5) and the vector (7, 0, -6) is normal to the plane? And check if this plane intersects the y-axis.
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9
Linear Algebra, Vectors
Find equation of a line passes through the points = (0, 1, 2) and = (-1, 1, 1).
Find equation of a line passes through the points = (0, 1, 2) and = (-1, 1, 1).
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10
Operating System
1. Write clearly the dinning philosopher and reader-writer classical problem of process synchronization
1. Write clearly the dinning philosopher and reader-writer classical problem of process synchronization
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11
Computer organization and architecture
1. In memory hierarchy the fattest memory type is cache memory next to register. So describe mapping process(transformation data from memory to cache memory)
1. In memory hierarchy the fattest memory type is cache memory next to register. So describe mapping process(transformation data from memory to cache memory)
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14
Mathematics for Natural Science
Sketch the graph of $f(x) = \frac{x^{3}-1}{x^{2}-1}$
Sketch the graph of $f(x) = \frac{x^{3}-1}{x^{2}-1}$
1 answer
16
Mathematics for Natural Science
Simplify $(A\cup B)\cap (A\cup B')\cap (A - B)$ for a given non empty sets $A$ and $B$, where $(A\cap B) = \varnothing .$
Simplify $(A\cup B)\cap (A\cup B')\cap (A - B)$ for a given non empty sets $A$ and $B$, where $(A\cap B) = \varnothing .$
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17
Mathematics for Natural Science
Let y in the form of $a + bi$, where $a$ and $b$ are real numbers, be the cubic roots of complex number $z^{20},$ where $z=\frac{2}{4 + 3i}.$ Find $a + b.$
Let y in the form of $a + bi$, where $a$ and $b$ are real numbers, be the cubic roots of complex number $z^{20},$ where $z=\frac{2}{4 + 3i}.$ Find $a + b.$
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19
Discrete Mathematics and Combinatorics
Solve the recurrence relation $a^{2}n-5a^{2}_{n-1}+4a^{2} _{n-2}=0$, if $a_{0}=4, a_{1}=13, n>1$
Solve the recurrence relation $a^{2}n-5a^{2}_{n-1}+4a^{2} _{n-2}=0$, if $a_{0}=4, a_{1}=13, n>1$
1 answer
20
Applied Mathematics Derivative
Please find derivation of the following equation. Let $f(x)=e^{x^{2}}\ln x,$ then find, ${f}'(x)$.
Please find derivation of the following equation.Let $f(x)=e^{x^{2}}\ln x,$ then find, ${f}'(x)$.
2 answers
21
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
2 answers
22
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow \infty} \frac{2x^{3}+3x-5}{5x^{3}+1}$
Evaluate the question of the following limits. $\lim_{x\rightarrow \infty} \frac{2x^{3}+3x-5}{5x^{3}+1}$
3 answers
23
Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$
Let $f(x) = e^{x^2},$ then find $f''(x).$