prove that set of all non zero rational numbers is a group with respect to product
Question : Prove that set of all non zero rational numbers is a group with respect to product. Proof : We shall prove that set of all non zero rational…
real and imaginary part of log(z)
Introduction : Here we shall find real and imaginary part of log(z). Real and imaginary parts of sin(z) are obtained by expanding this function. Question : Find real and imaginary…
solve dy/dt=yt^3-1.5y subject to y(0)=1
Introduction : Here we shall solve dy/dt=yt^3-1.5y subject to y(0)=1 which is a ordinary differential equation of first order with a condition on solution. Question : Solve \[\frac{dy}{dt}=yt^3-1.5y , y(0)=1\]…
Newton’s method matlab to solve 3*x^3-2*x^2-3*x+12=0
Introduction : In this solution, we apply Newton's method matlab to solve 3x^3-2x^2-3*x+12=0 and find the root that lies in the interval [-2, -1] such that error is less than…
solve 3*x^5-2*x^4+4*x^3+5*x^2-16=0 by Newton’s method matlab
Introduction : In this solution, we apply Newton's method matlab to solve equation 3x^5-2x^4+4x^3+5x^2-16=0 and find the root that lies in the interval [1, 2] such that error is less…
find Gamma of 2
Introduction : In this solution, we write general formula of gamma function and tell what is find Gamma of 2 it's step by step answers are given below Question :…
what is gamma function of 1
Introduction : In this solution, we write general formula of gamma function and tell what is gamma function of 1 it's step by step answers are given below Question :…
prove that the integral -1 to 1 of 1/(x^2) is divergent
Introduction : In this solution, we will explain what is convergence of an integral and prove that the integral -1 to 1 of 1/(x^2) is divergent. Question : prove that…
convergence of the integral example 1
Introduction: In this solution, we have explained what is convergence of the integral example 1. We will test the convergence of the integral 0 to a 1/(sqrt(a-x)dx. Qestion : Examine…
Secant method iteration formula to solve 3x+e^x-tan(x)-2=0
Introduction: In this article, we use Secant method iteration formula to solve 3x+e^x-tan(x)-2=0 unless the error is less than 0.005%. Question: use Secant method iteration formula to solve \[3x+e^{x}-\tan\left(x\right)-2 \]…