MAT 273 Homework Set #1 Sections 10.4, 10.5 FA2016 Submit your solutions on engineering paper. 10.4 1. For the given point in rectangular coordinates, find two sets of polar coordinates for the point for 0 2 . 8 3,8 2. Convert the rectangular equation to polar form. 7x y 6 0 3. Convert the polar equation to rectangular form. r 12sin 10.5 4. Find the area of one petal of r 8cos3 . Sketch the graph of r and shade the chosen petal. 5. Find the area of the inner loop of r 3 - 6sin . 6. Find the area of the common interior of the polar equations r 2 1 cos and r 2 1 cos by sketching the graph of the equations and shade the region. 7. Find the length of the curve over the given interval. 8. Find the area of the surface formed by revolving about the interval. r e 2 , 0 2 2 axis the following curve over the given \f