Winter 1998Math 21Test #4b(50 pts)NameShow all your work in answering each question.1. (8) Solve the diﬀerential equationy0+xy=0,y(0)=2.2. (5) Set up, but do not evaluate, the integral for the length of the curvey=x3for 0≤x≤π2.b) (3) How is the “arclength function” for this curve deﬁned?s(x)=3. (6) Calculate the moment about thex-axis for the region enclosed by the curvesy=√xandy=x.Assume a uniform density of 1.4. For this question, consider the curve represented by the parametric equationsx=t-1y=t3-3tfor0≤t≤2.(a) (3) Sketch this curve.(b) (5) Eliminate the parameter,t, to ﬁnd a corresponding Cartesianequation involving onlyxandy.5. Given the parametric equationsx= cos
This is the end of the preview. Sign up
access the rest of the document.