Probler X MATH X @ Lec 10. X re EU1 - C X calorim X Ch6Pr3 X Factori X C Solved: X G if det(a X @ 2023-N X IM Area of X IM Definite X + X F -> C eclass.srv.ualberta.ca/pluginfile.php/9159924/mod_tab/content/217164/2023-MATH101-A11.pdf * IA 2023-MATH101-A11.pdf 1 / 1 209% 4. Consider the surfaces z = r2 and tan 0 = 2 given in cylindrical coordinates. (a) Find Cartesian equations of both surfaces. (b) Find parametric equations for the curve of intersection of these surfaces. Sketch the surfaces and the curve. (c) Find the length of the arc of the curve in part (b) that lies below the plane z = 1/4. 5. Consider the surface cos o - psin ocos 20 = 0 given in spherical coordinates. (a) Find a Cartesian equation of the surface and identify the surface. (b) Show that the intersection of this surface and the plane 4x - 2y - z - 3 = 0 consists of two lines. Find the point of intersection of these lines. Find parametric equations of these lines. - 4.C Low visibility Q Search ENG 5:22 AM LO US 2023-04-03