Let p3 have the inner product as in exercise 9, with p0, p1, and q the polynomials described there. find the best approximation to by polynomials in span . reference: let p3 have the inner product given by evaluation at

a) compute the orthogonal projection of p2 onto the subspace spanned by p0 and p1.
b) find a polynomial q that is orthogonal to p0 and p1, such that is an orthogonal basis for span scale the polynomial q so that its vector of values at .

Which graph shows a function with a range of all real numbers greater than or equal to -1

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Anumber cube is rolled two times in a row. find the probability it will land on 2 on the first roll and a number greater then 4 on the second roll