3. You're so thrilled by your geometric and designing capabilities (see problems 1 and 2) that...
3. You're so thrilled by your geometric and designing capabilities (see problems 1 and 2) that you decide to design a thin dinner plate that on your blueprint covers the region between the r-axis and the curve To impress the friends, you decide to make two versions of the plate and exhibit them by holding them up on a single finger. In order to do this, you need to calculate the center of mass of each. (a) (5 points) One...
4. Tired from the long week, with the amusement park and the wok and dinner plate designs, you retreat to be in peace and study parametric equations. A curious leaflike curve called the "folium of Descartes" catches your eye; it is defined by the parametric equations 3t 3t2 (a) (4 points) Show that if the point (a, b) lies on the curve, then so does (b, a); that is, the curve is symmetric with respect to the line y a....