SOLUTIONS TO PRACTICE PROBLEM SET 10
- The area is 32.
First, let’s draw a picture.The rectangle can be expressed as a function of x, where the height is 12 − x^2 and the base is2 x. The area is: A = 2x (12 − x^2 ) = 24x − 2x^3 . Now, we take the derivative: = 24 − 6x^2.Next, we set the derivative equal to zero: 24 − 6x^2 = 0. If we solve this for x, we get x = ±2. A