Use a programmable calculator or computer (or the sum command on a CAS) to estimate 1 + xe−y R dA where [0, 1] × [0, 1]. Use the Midpoint Rule with the following numbers of squares of equal size: 1, 4, 16, 64, 256, and 1024. (Round your answers to six decimal places.)

A1-megabit computer memory chip contains many 27 ff capacitors. each capacitor has a plate area of 3.09 × 10−11 m 2 . determine the plate separation of such a capacitor (assume an empty parallel-plate configuration). the characteristic atomic diameter is 10−10 m = 1 ˚a, and the permittivity of a vacuum is 8.8542 × 10−12 c 2 /n · m2 . answer in units of ˚a.