(793,#29) The length and width of a rectangle are measured as 30 cm

(793,#29) The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measurement of at most 0.1 cm in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.
Solution:
Area of a rectangle
where l = length=30cm
w = width=24cm
Applying the definition of the differential dz,

The differential of A is:

To find the largest error in the area we take the largest error in measurement of l and h. Therefore,

This gives,

No Maple Code for this problem.

by: sh