A particle is moving along the curve 3; = 3V 41 + 9. As the particle passes through the point (4, 15), its wcoordinate increases at a rate of5 units per second. Find the rate of change of the distance from the particle to the origin at this instant. c I, A trough has ends shaped like isosceles triangles, with Width of 'W=2' meters and height 'h=6' meters, and the trough is 'L=1 1' meters long. Water is being pumped into the trough at a rate of 10 cubic meters per minute. At what rate does the height of the water change when the water is 5 meters deep? \" a" m/min. help (numbers) Two buses are driving in opposite directions along parallel freeways that are d : 5 miles apart. Assuming that each bus drives at a constant 60 miles per hour, nd the rate at which the distance between the buses is changing when the distance between them is z : 13 miles, heading toward each other. mph help (numbers) Show hint Some good steps to follow for related rate problems: Read through the problem at least two times. Draw a picture and label appropriately. {things that are changing over time should be labeled with variables) Write out what you know and what you don't know (given rates, given values, etc.) Find an equation that relates the rates. Differentiate that equation with respect to time. Plug in what you know to solve for what you don't know