Calculus Assignment - Differentiation, Integration, and Applications

This assignment provides detailed solutions to a variety of calculus problems. The solutions cover differentiation using product and chain rules, integration of various functions, and finding areas under curves using definite integrals. The problems include calculating angular velocity and acceleration, determining the maximum volume of a box created by cutting squares from the corners of a sheet, and solving population growth problems using integration. Furthermore, the assignment demonstrates integration by parts. The solutions are presented step-by-step, making them easy to follow and understand. This resource is designed to aid students in their calculus studies, offering clear explanations and practical examples to reinforce their learning.