In V = C[0,1], with the inner product given by the integral = 10 ∫ f(x) g(x) dx a.) Compute , where p(t) = 5t -3, q(t) = t3 +t2
b.) Compute ||p|| and ||q||
c.) Find cosine angle between p and q

The pyraminx is a rubik's cube-type toy in the shape of a tetrahedron. the pyraminx shown below has edges 15\,\text{cm}15cm long and vertical height h=12.2\,\text{cm}h=12.2cm. the triangle drawn with dashed lines is a right triangle. what is the distance rr? round your answer to the nearest tenth.