Select the true statements about Orthonormalization and Least Squares Approximation 1 2 3 4 5 In the orthonormalization process, the third vector will have the it's projections on the preceding two vectors removed (subtracted) Least-squares approximations can be used for data fitting using polynomial curves. The matrix ATA can be rectangular, depending on the size of A (number of rows and columns in ^) Least-squares approximations are often used for overdetermined systems that have no solutions To use the least-squares approximation techinque, the matrix ª must be square (same number of rows and columns) A

Consider the mathematical program below for the remaining questions: max 18x122x2 + 7x3 + 14x4 +9x5 s.t. 3x14x2 + 2x3 - 3x4 + x5 < −2 x1, x2, x3, x4, x5 € {0,1}

3) Jim rides a second Merry-Go-Round shown below. The distance, d, that Jim is from the wall can be described by the equation d = 38 + 22sin(8t), where t is the number of seconds since Jack was at the Start point. Answer the questions below (just enter the numbers), show ALL work, AND upload your work paper (or show your work) in the next question. The Merry-Go-Round makes one rotation every 45 seconds. Start 22 m 38 m Wall meters a) What is Jim's distance from the wall when t = 41 seconds? Round your answer to the nearest hundredth of a meter. b) The owner of the Merry-Go-Round decides to make the ride more exciting by tripling the rotational speed. Rewrite the equation for d given above to reflect this change. sin(