Mathematics Homework: Solutions for Tasks 1, 2, 3, and 4

This document contains the solutions to a mathematics homework assignment. Task 1 involves calculating frequency, period, and amplitude of sinusoidal functions, along with trigonometric identities. Task 2 presents solutions using the bisection and Newton-Raphson methods to solve equations. Task 3 covers optimization problems, including finding the maximum area of a rectangular field and calculating volumes of revolution using integration, and Euler's method. Task 4 focuses on probability, including binomial and Poisson distributions, and linear regression analysis, providing formulas and calculations for each. The assignment covers a range of mathematical concepts and problem-solving techniques.