Q: A rocket, rising vertically, is tracked by a radar station that is on the ground 5 mi from the…

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

Q: One airplane is approaching an airport from the north at 143 km/hr. A second airplane approaches…

A: To find the rate at which distance between the planes changes

Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

A: Given: Perpendicular distance between station and plane is 5,000 km To find rate of distance of…

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 people start moving from the same point. One heads east, at 24 km/h, the other south at 18 km/h.…

A: Click to see the answer

Q: Two people start moving from the same point. One heads east, at 24 km/h, the other south at 18 km/h.…

A: This question is related to application of derivatives.solved below

Q: Two people start moving from the same point. One heads east, at 24 km/h, the other south at 18 km/h.…

A: Click to see the answer

Q: A 4.5 ft tall man is walking away from a 25 ft tall lamp post.  If he is walking at a rate of 2…

A: Click to see the answer

Q: A van is 5 km due north of a bus at 2:00 pm. If the van is traveling northward at the rate of 60kph

A: Click to see the answer

Q: A life raft, set adrift from a sinking ship 150 miles offshore, travels directly toward a Coast…

A: Time , distance and speed is related using a formula time=distancespeed .At the same time , both the…

Q: One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

A: Assuming that car are travelling along the y-axis and x-axis respectively.The position of cars is…

Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

A: Topic = Volume

Q: A 4.5 ft tall man is walking away from a 25 ft tall lamp post.  If he is walking at a rate of 2…

A: Click to see the answer

Q: A ladder 20 feet long rests against a vertical wall. If the bottom of the ladder slides away from…

A: Click to see the answer

Q: Two buses are driving in opposite directions along parallel freeways that are ?=7 miles apart.…

A: Click to see the answer

Q: A man 167.68 centimeters tall .is walking directly away from a lamp post fronting a building at the…

A: x  be The distance of the man from the lamp post. y be the length of shadow from the man. So…

Q: A man 167.68 centimeters tall .is walking directly away from a lamp post fronting a building at the…

A: Rate is the change in value with respect to time. Now trigonometric ratios can be used to manipulate…

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

A: Click to see the answer

Q: Two buses are driving along parallel freeways that are 5mi apart, one heading east and the other…

A: Click to see the answer

Q: A sphere is filled with air. If the volume of the sphere is decreasing at a rate of 534 cubic cm per…

A: Given

Q: A man 6 ft tall walks at a rate of 5 feet per second away from a light that is 15 ft above the…

A: Click to see the answer

Q: A man 6 ft tall walks at a rate of 5 feet per second away from a light that is 15 ft above the…

A: Click to see the answer

Q: Two buses are driving along parallel freeways that are 12 miles apart with one bus heading east and…

A: Click to see the answer

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Let y be height of wall upto ladder and x be distance between bottom of wall and bottom of ladder…

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Click to see the answer

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Click to see the answer

Q: After 2 days, 10g of radioactive chemical is present. Three days later, 5g is present. How much of…

A: Given:      After  2 days, 10g of radioactive chemical is present. Three days later5 g chemical is…

Q: The acceleration of a Maserati is proportional to the difference between 250 km/h and the velocity…

A: Click to see the answer

Q: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

A: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

Q: Two cars start moving from the same point. One travels south at 84 mi/h and the other travels west…

A: Click to see the answer

Q: A 200-liter tank initially full of water develops a leak at the bottom. Given that 10% of the water…

A: Click to see the answer

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Assume that a snowball melts so that its volume decreases at a rate proportional to its surface…

A: Let V denote the volume and A denote surface area. Rate of melting is proportional to its surface…

Q: The top of a 22 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

A: Click to see the answer

Q: Two buses are driving along parallel freeways that are 4 miles apart with one bus heading east and…

A: We draw the figure as, speed of bus B1 traveling to the east =70 m/h speed of bus B2  travelling…

Q: The base of a 13 foot ladder that is leaning against a wall begins to slide away from the wa When…

A: It is given that, length of the ladder x = 13 feet,  The distance between the foot of the ladder and…

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…

A: Click to see the answer

Q: The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of…

A: Click to see the answer

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: The length of a rectangle is increasing at a rate of 4cm/s and its width is increasing at a rate of…

A: The length of a rectangle is increasing at a rate, dldt = 4 cm/s The width of a rectangle is…

Q: A hot-air balloon is 150 ft above the ground when a motorcycle (traveling in a straight line on a…

A: Let x be the distance the motorcycle has traveled. Let y be the height of the balloon above the…