the rod casts on the ceiling decreasing when the flashlight is ten inches from the rod? (5) A cat spots a bird at the top of a 40 foot tall pole and runs directly toward the pole, always keeping her eyes on the bird. The cat runs at ten feet per second. Consider the triangle whose vertices are the bottom of the pole A, the bird B, and the cat C, so the angle at C represents the angle of elevation of the cat's eyes. How rapidly is the angle at C changing when the cat is 30 feet from the pole? (6) Find the following limits, if they exist Justify the steps you