The speed of blood, v, flowing along the central axis of an artery of radius R is given by Poiseuille's law, v(R)= CR2, where c is a constant. If you wish to know the speed accurate to within 2%, then (using a linear approximation) how accurately must your measurement of the artery's radius be? Answers = 1. a) f(x)=cosx f'(x)=-sinx = ƒ"(x)=-cosx; hence, f(x)=-1, f'(x)=0, ƒ"(x)=1 Therefore, Q(x)= f(x)+ f'(x)(x−)+±ƒ"(л)(x−n)² ⇒ Q(x)=-1+(x-7)² 1 1. b) k(t) == (1-1) ⇒ k'(t)=(1-1)² = k(t)=2(1-1); hence, k(0)=1, k'(0) =1, k"(0) = 2 Therefore,