how to Write following propositions in logical notation
Question : Write in logical notation of the following propositions. For every nonnegative integer n the value of n^2 + n +41 is prime. The equation a^4 + b^4 +…
What is a proposition in computer Science?
Question : What is a proposition in computer Science? Solution : Definition of Proposition : A proposition is any statement that is either true or false. A proposition is denoted…
Find the truth value of P(1) → P(-1) and P(0)∧P(1)
Question : Let P(x) : 5x<x be a statement. If U be universal set of all real numbers then Find the truth value of P(1) → P(-1) and P(0)∧P(1) Solution…
how to use polyfit matlab to fit a polynomial of order 4
Question : Use polyfit matlab to fit a polynomial of order 4 to the following data and plot the polynomial x1 1.06 1.17 1.32 1.55 1.89 2.41 2.963 3.575 y4…
how to Find sinh(x+iy) formula
Question : Find sinh(x+iy) formula Solution : Let the complex number as \[z=sinh\left(x+iy\right)\] We know that \[\sin{\left(iz\right)}=isinh\left(z\right)\] So we shall multiply and divide by i we get \[z=\frac{isinh\left(x+iy\right)}{i}=\frac{\sin{\left(i\left(x+iy\right)\right)}}{i}=\frac{\sin{\left(ix-y\right)}}{i}\] Now we…
real and imaginary part of e^(sin(x+iy))
Question : Find the real and imaginary part of e^(sin(x+iy)) Solution: Let \[z = e^(sin(x+iy))\] We shall write it as \[z = e^{Sin\left(x+iy\right)}=e^{Sin\left(x\right)Cos\left(iy\right)+\cos{\left(x\right)}\sin{\left(iy\right)}}\] Since \[Cos\left(iy\right)=\cosh{\left(y\right)}\ ,\ \ \sin{\left(iy\right)}=isinh\left(y\right)\] we shall…
How to plot direction field and solution curves of the logistic model dP/dt =(1/3)*(P-2)*(3-P) with initial conditions P(0)=1, P(0)=2,P(0)=5
Introduction: In this article , we present the solution of the question How to plot direction field and solution curves of the logistic model dP/dt =(1/3)(P-2)(3-P) with initial conditions P(0)=1,…
How to write function method in matlab
Introduction : In this solution, we answer a question how to write function method in matlab. We will write function method in matlab to solve the following problem. Question :…
Identify the smooth function whose graph given below and evaluate area under curve for x=-infinity to infinity
Introduction : In this question, we will Identify the smooth function whose graph given below and evaluate area under curve for x=-infinity to infinity Question : Identify the smooth function…
Use Euler method in Excel sheet to solve Initial value problem dy/dt=-y/3+t
Introduction : In this question, we will use Euler method in Excel sheet to solve Initial value problem dy/dt=-y/3+t. Question : Using Excel sheet to solve Initial value problem \[\frac{dy}{dt}=-\frac{y}{3}+t,…