Use the method of lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse startfraction x squared over 4 endfraction x2 4plus+startfraction y squared over 25 endfraction y2 25equals=1 with sides parallel to the coordinate axes.

The stem-and-leaf plot shows the heights in centimeters of teddy bear sunflowers grown in two different types of soil. soil a soil b 5 9 5 2 1 1 6 3 9 5 1 0 7 0 2 3 6 7 8 2 1 8 3 0 9 key: 9|6 means 69 key: 5|8 means 58 calculate the mean of each data set. calculate the mean absolute deviation (mad) of each data set. which set is more variable? how do you know?