# Quiz Chapter 09.02: Newton’s Method

 MULTIPLE CHOICE TEST NEWTON’S METHOD OPTIMIZATION

1. Which of the following is NOT required for using Newton’s method for optimization?

2. Which of the following statements is INCORRECT?

3. For what value of $x$, is the function $x^{2} - 2x - 6$ minimized?

4. We need to enclose a field with a fence. We have $500$ feet of fencing material with a building on one side of the field where we will not need any fencing. Determine the maximum area of the field that can be enclosed by the fence.

5. A rectangular box with a square base and no top has a volume of $500$ cubic inches. Find the length, $l$ of the edge of the square base and height, $h$ for the box that requires the least amount of material to build. Conduct two iterations using an initial guess of $l=5$ in.

6. A rectangular box with a square base with no top has a surface area of $108$ ft2. Find the dimensions that will maximize the volume. Conduct two iterations using an initial guess of $l=3$ ft.