1. Find the maximum height above the x-axis of the cardioid r = 2(1 + cos 0). 2. Find the total area enclosed between the large loops and small loops of the curve r = 1 + 2 sin 30.3. A solid 5 lies within the sphere 3:2 + 372 + 22 = 4, above the Qty-plane, and below the cone 2 = 1:122 + 3?. Write a description of the solid 5 using spherical coordinates. Your descrip- tion should include bounds on each of p, a, and F). 5. (a) Find the length of the curve defined by parametric equation x = In(1 + +2) y = 2 arctan(t) (b) Find the total length of the cardioid r = a(1 + cos 0).4. (a) What is the general equation of the plane that contains both of lines :r=1+t 3::32t 1: y222t ,tER and 2: yzlt ,tEwE z=t z=1t (b) What is the parametric equation of the line which is the intersection of the planes :r+yz=4and2:r3z=4