A (x,74 - x?) x The figure above shows a rectangle inscribed in a semicircle with a radius of 2. The area of such a rectangle is given by A (2) = 2.0V4 - 12 where the width of the rectangle is 22. It can be shown that A' (*) = -2+24 - 2 and A has critical values of 2, V2, V2, and 2. It can also be shown that A' () changes from positive to negative at x = . Which of the following statements is true?
The figure above shows a rectangle inscribed in a semicircle with a radius of 2. The area of such a rectangle is given by A (xx) = 2xV4 – x2, where the width of the rectangle is 2x. It can be shown that A' (x) = +2V4 – x2 and A has critical values of —2, –V2, V2, and 2. It can also be shown that A' (x) changes from positive to negative at x = V2. Which of the following statements is true? - 2x2 ✓4-22 The inscribed rectangle with maximum area has dimensions V2 by V2. The inscribed rectangle with minimum area has dimensions V2 by v2. The inscribed rect with maximum area has dimensions 2V2 by v2. The inscribed rectangle with minimum area has dimensions 2V2 by V2.