Use the inner product ⟨f, g⟩=∫10f(x)g(x)dx
in the vector space C0[0,1] of continuous functions on the domain [0,1] to find the orthogonal projection of f(x)=6x2+3 onto the subspace V spanned by g(x)=x and h(x)=1. (Caution: x and 1 do not form an orthogonal basis of V.)

projV(f)=

Sherrie is baking a pie for her family. she leaves the room and comes back to 35% of the pie having been eaten before she can put the topping on. how much 1 square inch strips of dough will she need for the top, now that a portion is missing? round your answer to the nearest while nimber.