Chapter 4.6, Problem 2DQ

Enter the largest critical point of this function

A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given that the available materials for the fence are good for 24m, what dimensions will produce a maximum area for the fence? What is/are the function's critical point/s

Provide a detailed solution and conclusion (without the use of piecewise function): The rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, Given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.

Find an interval in which the initial value problem given below has a unique solution without solving the problem.

Define the fixed point iteration method to obtain a root of f(x) = 0. When does the method converge?

Give the solution of the initial value problem using the parameter variation method. If it is not possible to explain the solution, justify it.

Solve for y2 by using reduction of order  And for nonhomogeneous using undetermined coefficients    linear mathematics

To facilitate rapid delivery, Samurai Van Logistic Company requires that all baggage must bein box-shaped with a sum of the length, width, and height not exceeding 120 inches. Whatare the dimensions and volume of a square-based box with the greatest volume underthese conditions?

Please help to solve this integration problems