A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn in over a pulley 5 feet higher than the bow at the rate of 4 feet per second, as shown in the figure below. How fast is the boat docking when the length of the rope from bow to pulley is 10 feet? Pulley Rope When the rope is 10 feet long, the boat is docking at of ____ feet per second

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is…

A:

Q: At a given moment, a plane passes directly above a radar station at an altitude of 6 km. (a) The…

A:

Q: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its…

A: Refer to the figure shown below: [Note that we have to consider the depth of 5 ft to solve the…

Q: Sketch the situation If necessary and use related rates to solve. Kvita A 14 ft ladder is leaning…

A:

Q: A 10ft ladder is leaning against a vertical wall(see figure) when Jack begins pulling the foot of…

A:

Q: A boat is pulled into a dock by a rope attached to the bowof the boat and passing through a pulley…

A: Let the distance of the boat B from the dock D be x meter. And the length of the rope is r passing…

Q: Stephanie is standing atop a 13 ft ladder. The ladder is leaning against a vertical wall. The ladder…

A: Given dx/dt = 3 ft / sec Lentgh of ladder = 13 ft

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is…

A: Given that :- x=9 feetdzdt=20 ft/minwhen z=110 ft then dydt=?

Q: The top of a 30-foot ladder is sliding down a wall at a rate of 9 feet per second. How fast is the…

A: In the question it is asked to calculate the speed at which the base of ladder is going away from…

Q: . A conical paper cup 3 inches across the top and 4 inches deep is full of water. The cup springs a…

A:

Q: A fifteen-foot ladder leans against a wall and slides down, with the base of the ladder observed to…

A:

Q: oil

A: We will find how much oil is left in the rank after 3 hours.

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A: Given Length of rope = 10 feet speed at pulley = 5 feet  per second Height of pulley from bow = 5…

Q: A 25-foot ladder is leaning against a house. The base of the ladder is pulled away from the house at…

A: Given information- Length of the ladder = 25 foot Base of the ladder is moving away with the rate =…

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A:

Q: epot at the rate of 10 in3/min.

A: The volume of cone is given as, V=13πR2h. Here, R is the radius of the cone and h is the height of…

Q: The base of a 45-foot ladder is being pulled away from wall at a rate of 12 feet per second. How…

A:

Q: The base of a 35-foot ladder is being pulled away from a wall at a rate of 7 feet per second. How…

A: Given data: The length of the ladder is L=35 ft. The rate at which the base of the ladder pulled…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Assume that y is the horizontal distance from the dock to the boat and x be the length of the rope…

Q: A sailboat is sitting at rest near its dock. A rope attached to the bow of the boat is drawn in over…

A:

Q: The base of a 20-foot ladder is being pulled away from a wall at a rate of 11 feet per second. How…

A: application of derivative

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: A ladder 15 feet long is leaning against a vertical wall. The top of the ladder slides down the wall…

A:

Q: A 10​-footladder is leaning against a vertical wall​ (see figure) when Jack begins pulling the foot…

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: We will apply derivative to find rate of change Rate of change in y w.r.t. x is given by dy/dx

Q: The radius of a circular oil slick expands at a rate of 8 m/min. (a) How fast is the area of the oil…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Here we will find dh/dt,

Q: A rope is attached to a boat at water level, and a personon a dock is pulling the rope at the rate…

A: Let's find speed of boat.

Q: Water is flowing into a conical reservoir 20 ft. deep and 10 ft. across the top, at the rate of 15…

A:

Q: A spherical balloon is inflating with helium at a rate of 80 pie ft^3 /min. How fast is the balloons…

A:

Q: Search this book ✔ Q 5. A 10-ft ladder is leaning against a wall. If the top of the ladder slides…

A:

Q: 0. A plastic container in the shape of a cylinder is being filed with coconut juice at the rate of…

A:

Q: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at theshallow end, and 9 ft deep at its deepest…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A:

Q: A weight W is attached to a rope 50 ft long which passes over a pulley at P, 20 ft above the ground.…

A: x is the distance the weight has been raised = 6 ft y is the is the horizontal distance from point A…

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A:

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A:

Q: olve a Related 12 foot ladder is leaning against a wal. If the top of the ladder slides down the…

A:

Q: A conical paper cup 3 inches across the top and 4 inches deep is full of water. The cup springs a…

A: The formula for the volume of the cone is V=π3r2hWe will have to differentiate it with respect to…

Q: A boat is being pulled into a dock by means of a winch 12 feet above the deck of the boat (see…

A: Given that:- A boat is being pulled into a dock by means of a winch 12 feet above the deck of the…

Q: Sand is being dropped at the rate of 5 63/min onto a conical pile. If the height of the pile is…

A:

Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes.…

A:

Q: In a AABC, the sides AB and AC are 12 and 15 units long, respectively. the ZA changes at a rate of…

A: Note :- the all options are given wrong. I am solving it in proper way and giving you right…

Q: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point…

A:

Q: An observer is located on the ground, 3 miles from a balloon that is ready to fly. The balloontakes…

A:

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A: Given: The rope is drawn in over a pulley 5 feet higher than the bow at the rate of 2 feet per…

Q: A Ferris wheel with a radius of 15 m is rotating at a rate of one revolution every two minutes.…

A: Follow the procedure given below.

Q: The base of a 45-foot ladder is being pulled away from a wall at a rate of 6 feet per second. How…

A: Use Pythagoras theorem

Q: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A: As per given by the question, There are given that 25 foot ladders is leaning against a vertical…

Q: Grain is lifted on a conveyor belt at a rate of 34 ft/min and dumped into a pile that forms a cone…

A: