12. This question is worth 20 points. You must complete both parts. Parts (a) and (b) are not related and should be answered as separate, distinct problems. (a) (10 points) Find the area between the z axis and the curve given by the parametric functions r = 6cost + cos 6t y = 6 sint - sin 6t from t = 0 to t = . (b) (10 points) Find the length of the curve x = * + 7 from y = 1 toy = 4. i U Font Family - AAA DE. BE DSETTINGS X O Linging Song 14. (10 points) A swimming pool is constructed so that the sides consist of a rectangle 12 feet deep and 12 feet wide, along with a right triangle 12 feet deep and 20 feet wide. What is the force due to fluid pressure on the side of the pool if it is full and the weight density is 62 lb per cubic foot? 32ft 12 ft 12 ft U