Ladder against the wall again A 12-foot ladder is leaningagainst a vertical wall when Jack begins pulling the foot of theladder away from the wall at a rate of 0.2 ft/s. What is the config-uration of the ladder at the instant that the vertical speed of the topof the ladder equals the horizontal speed of the foot of the ladder?

Q: Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional…

A:

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A:

Q: A kite 100 feet above the ground moves horizontally at a speed of 6 t/s. Denote by z the horizontal…

A: To determine the rate of decrease of the angle that the string make with the horizontal, first we…

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

A:

Q: A construction crane lifts a bucket of sand originally weighing 110 lb. at a constant rate. Sand is…

A:

Q: 29. Sports A baseball diamond has the shape of a square with sides 90 feet long (see figure). A…

A: topic - application of derivatives

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

A:

Q: A ball is dropped from a height of 20 meters, 12 meters away from the top of a 20-meter lamppost.…

A:

Q: Water leaking onto a floor creates a circular pool with an area that increases at the rate of 5…

A:

Q: a distance of 15 m from the pad, a man observes a helicopter taking off from a heliport. If the…

A: Given query is to find the rate of change distance between the man and helicopter.

Q: A feather dropped on the moon On the moon, a feather willfall to the ground at the same rate as a…

A: Given:

Q: Devin set up a toy rocket. For safety, he stands 6 meters from the rocket. He sets off the rocket…

A:

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

A:

Q: Rope on a boat A rope passing through a capstan on a dock is at-tached to a boat offshore. The rope…

A: Consider the distance between the capstan on a dock and boat is given by "y". The distance from boat…

Q: 8) A boat is being pulled into a dock by means of a winch 12 feet above the deck of the boat (see…

A:

Q: Ladder against the wall again A 12-foot ladder is leaning against a vertical wall when Jack begins…

A:

Q: A police helicopter is flying due north at 100 mi/h and at a constant altitude of ; mi. Below, a car…

A: Let the car be at a distance x from the point where helicopter crosses highway. The height at which…

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

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

A:

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A:

Q: 20. A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first…

A: To find the rate of decreasing and also the rate of increasing

Q: Jason and the kid watch the balloon rise straight up, find the rate at which the balloon was rising…

A: Note: According to Bartleby guidelines; for more than one question asked only the first one is to be…

Q: A streetlight is 8m from a wall and 4m from a point along the path leading to the wall. The light is…

A:

Q: A frozen cube of water with sides 2 ft is hanging from the ceiling and is melting into a cylindrical…

A: Volume of water is V=V(t) Depth of water is h=h(t) The volume of the tank, V=13πr2h

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

A:

Q: Rope on a boat A rope passing through a capstan on a dock is attached to a boat offshore. The rope…

A: How fast is the boat traveling when it is 10 ft from the dock?

Q: A bag of sand originally weighing 144 lb was lifted at a constant rate. As it rose, sand also leaked…

A:

Q: A crowd gathers around a movie star, forming a circle. The radius of the crowd increases at a rate…

A:

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. A14t/ sec 12…

A:

Q: The weight w of an astronaut (in pounds) is related to her height h above the surface of the earth…

A:

Q: struction worker pulls a five-meter plank up the side of a bullding under construction by means of a…

A: Given:- construction worker pulis a five-meter plank up the side of a building under construction by…

Q: 8. A dock is 6 feet above water. Suppose you stand on the edge of the dock and pull a rope attached…

A: Let AB=t      BC=x

Q: Draining a pool Water is drained from a swimming pool at a rate given by R(t) = 100e-0.05t gal/hr.…

A: Rate of water draining from a swimming pool is  To find the amount of water drain from the pool if…

Q: Water is running into an inverted cone at the rate of t cubic metres per minute. The height of the…

A: Find the the rate of change of h with respect to t

Q: A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

Q: A car traveling at the rate of 20m/s is approaching an intersection. When the car is 100 meters from…

A: Situation can be easily understood by using the figure:

Q: Shrinking isosceles triangle The hypotenuse of an isosceles right triangle decreases in length at a…

A: Definition used-              Area of a right angle triangle =12×base×height              In the…

Q: Mr. Maranan is filling an ice cream cone. The cone is 12 cm tall and has a radius of 4 cm. If the…

A:

Q: Gravel is being unloaded from a truck and falls into a pile shaped like a cone at a rate of 20…

A: Gravel is being unloaded from a truck and falls into a pile shaped like a cone at the rate of 20…

Q: A man flies a kite at a height of 50 m. The wind carries the kite horizontally away from him at a…

A: Given, dx/dt is 10 dD/dt is what you're looking for.    D=130 Height of triangle = 50 So distance…

Q: A ladder 25 feet 1ong is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: The melted ice-cream filling an ice cream cone is dipping out at a rate of 0.5cm^3/second. The cone…

A:

Q: Physical Sciences 23. Sliding Ladder A 17-ft ladder is placed against a build- ing. The base of the…

A: Given:  Length of the ladder: 17 ft dydt = 9 ft/min We have to find dxdt at x=8 ft

Q: The ladder 7.5 meters long is leaning agains the wall of a house.  The base of the ladder is being…

A:

Q: A 25-foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away…

A:

Q: A boy released a balloon vertically in the middle of a hemispherical dome at a velocity of 5 m/s.…

A:

Q: Growing sandpile Sand falls from an overhead bin and accumu- lates in a conical pile with a radius…

A:

Q: The weight w of an astronaut (in pounds) is related to her height h above the surface of the earth…

A: topic - application of derivatives

Q: A boat is pulled in by means of a winch on the dock 4 meters above the deck of the at. The winch…

A: