Car B starts 30 miles directly east of car A and begins moving west at 90 mph. At the same moment car A begins moving north at 60 mph. At what rate is the distance between the cars changing after t=1/3 hr?

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A: Given that: Rate of increase of distance from radar station = 2000 mi/hDistance between radar…

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A: The given data can be expressed in a right triangle as shown below.

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Q: James is pumping air into a spherical balloon at a rate of : бст3 What is the rate of change of the…

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A: Shown below

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A: Given the height in which the hot air balloon placed above the ground is 140 ft. Velocity of the…

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Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: First I have draw the graph of given problem and then solved them using Pythagoras theorem. The foot…

Q: A ​13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Given  Length of ladder = 13 foot  Rate of movement of ladder from wall = 4ft/second

Q: A 10-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

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Q: 7. A 6ft tall human is walking away from a 20ft lamppost. Given that the length of the shadow of the…

A: Let the distance of the person from the bottom of the light post be x. Let the length of the shadow…

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Q: A metallic ball with a diameter of 12 cm is covered with a layer of ice, so if the ice begins to…

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Q: At noon Person A is 15 km east of person b. person A is walking west at 3km/h, and person b is…

A: initially A and B apart 15 km apart that  person A moves towards west at rate (da/dt) = 3 km/hr…

Q: A man of height  1.9  meters walks away from a 5-meter lamppost at a speed of  2.1  m/s. Find the…

A: Let distance of the man from the pole=x   Let the length of the shadow =y…

Q: A man of 2 mts tall is approaching a lamp post at the rate of 0.5m/sec.if the lamp post is situated…

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Q: A man of height 1.8 m walks away from a 5-m lamppost at the speed of 1.2 m/s. Find the rate at which…

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Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s. How fast does the tip of…

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Q: A kite 100 ft above the ground moves horizontally at aspeed of 8 ft/s. At what rate is the angle…

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Q: the top of a 25 foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.…

A: Given  c=25 ft b= 7ft dbdt=3 ft/minute dcdt=0

Q: If I am blowing up a balloon at a rate of 3 cubic feet per minute, what is the rate of change of the…

A: Since, it is given that a person is blowing up a balloon at a rate of 3 cubic feet per minute, then…

Q: A balloon is 30 meters above the ground when a car, running at 40 kph, passes directly below it. It…

A: Given,         A balloon is 30m above the ground when a car, running at 40kph passes directly below…

Q: The top of a 25-foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.…

A: This question is based on application of differentiation.

Q: Two cars start moving from the same point. One travels south at 60 mi /h and the other travels west…

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Q: A lighthouse is located on a small island 4km away from the nearest point P on a straight shoreline,…

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Q: One ship is approaching port from the north at 10 miles per hour and is presently 3 miles north of…

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Q: A spherical snowball melts at a rate of 2 cubic centimeters per hour. How fast is the radius…

A: We know that the volume of a spherical snowball is v = 43πr3 where v is the volume and r is the…

Q: Charley stands 34 meters west of Robert. Robert starts walking north at a speed of 2 m/s, and…

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Q: c. A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that…

A: Definition uses-       Similar triangles -        If two triangles are similar then their…

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: Given Data: The height of the man is: h=1.9 m The height of the lamppost is: H=5 m The increasing…

Q: The rate at which bacteria multiply is proportional to the instantaneous Number Present. If the…

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Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

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Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to…

A: Given query is to find differential equation.

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

Q: How fast is the tip of her shadow moving?

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How…

A: Given,            A balloon leaving the ground 60 ft from an observer rises vertically at the rate…

Q: A hot air balloon is 120 ft. above the ground when a motorcycle (travleing in a straight line on a…

A: Given that, A hot air balloon is 120 ft. above the ground when a motorcycle (traveling in a straight…

Q: An observer who is 3km from a launchpad watches a rocket that is rising vertically. At a certain…

A: Rate of change

Q: A balloon is 20m horizontally away from an observer. At an constant, the balloon rises vertically at…

A: Let the distance between ballons and observer is y and vertically distance from the ground is x m…

Q: a 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: A lighthouse is located on a small island 3 km away fromthe nearest point P on a straight shoreline…

A:

Q: A 25 -foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

A: