CALC Derivatives - Related Rates

For each problem your work must include the equation used, its derivative and how it is used to solve a problem. Answers can be rounded to thousandths or as exact values. ALL CALCULUS WORK IS EXPECTED TO BE SHOWN CLEARLY FOR CREDIT. Include Units.3. A 25-foot ladder rests against a vertical wall. The bottom of the ladder slides away from the wall at a rate of 2.1 /t/s. (a) How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 7 feet from the wall? (b) How fast is the angle between the ladder and the ground changing when the ladder is 7 feet from the wall? 4. Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 8 ft high