[infinity] 1 n2 n = 1 (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) s10 = 1 (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) sn + [infinity] f(x) dx n + 1 ≤ s ≤ sn + [infinity] f(x) dx n 2 ≤ s ≤ 3 (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s ≈ sn is less than 0.001. n > 0 n > −1000 n > 100 n > 1000 n > 5

Miguel is setting up his new classroom with total floor space of 1,600 ft. the classroom must contain two square tables that are 4 ft by 4 ft, a 2 ft walkway between desks not against the wall or each other, a 2 ft space between the chalkboard and the first row of desks, and miguel's desk, which is 10 ft by 4 ft and is always on the opposite side of the classroom from the chalkboard. click here to see the current configuration of the classroom with desk space for 28 students. miguel needs to redesign the classroom to accommodate 8 more students, and he wants to let the students work in groups. should he place the desks in equal groups of 2, 3, or 4 desks pushed together? explain he should move the desks to groups of because