Advanced Math Archive: Questions from October 03, 2022
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Complex Analysis
Ex 3. Given the curve \( C: z(t)=e^{i t} \), evaluate \( \int_{C} f(z) d z \), where; (i) \( f(z)=1+z^{2} \) (ii) \( f(z)=\frac{1}{z^{2}} \).2 answers -
slove problem 4 only please
In 1-12, find the solution \( y(t) \) of the given IVP. \( 1 \quad y^{\prime \prime}+2 y^{\prime}+5 y=0, \quad y(0)=1, \quad y^{\prime}(0)=-5 \). \( 2 y^{\prime \prime}-4 y^{\prime}+13 y=0, y(0)=3, y^2 answers -
In Problems 2I-30, determine the volume of the solid bounded by the graphs of the indicated equations. 21. \( 2 x+y+z=6, x=0, y=0, z=0 \), First octant 22. \( z=4-y^{2}, x=3, x=0, y=0, z=0 \), First o2 answers -
Use el método de Newton para encontrar soluciones precisas dentro de \( 10^{-5} \) \( (x-2)^{2}-\ln x=0 \) para \( 1 \leq x \leq 2 \) y \( e \leq x \leq 4 \)2 answers -
Use the bisection method to find precise solutions within 10^-5 for the first positive value of x with x = 2 sin x.
Use el metodo de biseccion para encontrar soluciones precisas dentro \( 10^{-5} \) para el primer valor positivo de \( \mathrm{x} \) con \( \mathrm{x}=2 \) sen \( \mathrm{x} \).2 answers -
2 answers
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Directions: Select the differential equation that represents each graph and write them on the lines
Actividad Ecuaciones Diferenciales Nombre: Equipo: Fecha: Instrucciones: Selecciona la ecuación diferencial que representa cada gráfica y escríbelas en las líneas a) \( y^{\prime \prime}-3 y^{\pri1 answer -
Homework 2.12. Find the solution of the following initial value problems 1. \( y^{\prime \prime}+4 y=5 \sin (x), y(0)=y^{\prime}(0)=0 \) 2. \( y^{\prime \prime}+4 y=5 \sin (2 x), y(0)=y^{\prime}(0)=02 answers -
Given the following matrices, if possible, determine \( 4 A+2 B \). If not, state "Not Possible". \[ A=\left[\begin{array}{rrr} 1 & -2 & 6 \\ 4 & -1 & 0 \end{array}\right] \] \[ B=\left[\begin{array}{2 answers -
2 answers
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Solve intial value \[ \begin{array}{c} \frac{d}{d x} y(x)+3 y(x)=e^{(-3 x)} \times(-3-4 x) \\ y(0)=3 \quad \therefore \quad y(x)=? \end{array} \]2 answers