Let P3 have the inner product given by evaluation at -3, -1, 1, and 3. Let p0(t)=1,p1(t)=t and p2(t)=t2 Required: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 {p0,p1,q} is an orthogonal basis for Span {p0, p1,p2 }. Scale the polynomial q so that its vector of values at (-3, -1, 1, 3) is (1, -1, -1, 1).

Problem melissa is her dad build a walkway in their backyard. the walkway will be 54 feet long and 1.5 feet wide. the local hardware store sells tiles which are 1.5 by 1.5 feet and come in boxes of 12. how many boxes of tiles do they need?

Select the lengths in centimeters that would form a right triangle

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.