A lighthouse is on a small island 3 km away from the nearest point P on a straight shoreline, and its light makes 4 revolutions per minute. At what rate is the beam of light moving along the shoreline when it is 1 km away from P? 100 (a) 3. 110m (b) 3. 140 (c) 3. 70T (d) 3 80T (e) 3.

Q: 3. A man 6 ft tall walks along a straight path away from a lamp post 15 ft high at the rate of 2…

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Q: # 3) Each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square…

A:

Q: A 9.5-meter ladder is leaning against a wall. The bottom of the ladder is being pulled horizontally…

A: We need to find the rate at which top of ladder moving down.

Q: 10. A six foot tall man is walking toward a 10 foot tall light pole at a speed of two feet per…

A:

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

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Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

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Q: A 5-ft-tall person walks toward a wall at a rate of 2 ft/sec. A spotlight is located on the ground…

A: 12. Let h be the height of shadow on wall using the similarity bof thr triangle,∆OAB, △OPQ,h40=540-x…

Q: A spotlight on the ground is shining on a wall 12m away. If a woman 2m tall walks from the spotlight…

A:

Q: 7. A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast…

A: Given : A 6 ft tall man and a 15 ft tall street lamp and rate is 5 ft/sec

Q: A ladder 25 feet is leaning against a wall. If the foot of the ladder is being pulled away from the…

A: To determine the rate at which the ladder is sliding. Given: Ladder is 25 feet long dx/dt = 14…

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:

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

A:

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:

Q: On a certain planet's moon, the acceleration due to gravity is 2.6 m/sec. If a rock is dropped into…

A:

Q: 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet…

A: From the question, Height of the man is 6 ft. Height of the street is 12 ft. y=The length of the…

Q: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A: solution is given below .

Q: A bicyclist accelerates at a constant rate from a standstill to 25 km/hr in 36 sec. a) How fast is…

A: We will solve the problem

Q: 10. Gas is escaping from a spherical balloon at a rate of 2 cubic feet per minute. How fast is the…

A:

Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

A:

Q: Water flows from the bottom of a storage tank at a rate of r(t)=350– 5t litres per minute, where…

A: Given that the water flow from the bottom of a storage tank at a rate, rt=350-5t,  0≤t≤80

Q: It took 14 sec for a mercury thermometerto rise from -19°C to 100°C when it was taken from a freezer…

A: The time taken for a mercury thermometer to rise from -19°C  to 100°C is 14 sec.

Q: A kite, at a height of 80 feet, is moving horizontally at a rate of 6 feet per second away from the…

A: The height of the kite is, y = 80 ft The rate at which the kite is moving horizontally, dxdt = 6 fts…

Q: The altitude of a triangle is increasing at a rate of 2.62.6 centimeters/minute while the area of…

A: Given, Area of a triangle, A=8484 cm2 Altitude of a triangle, h=1010 cm The rate of increase of…

Q: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A: Solution : It is given that a 10 meters long ladder is leaning against a wall. And the bottom of…

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

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

Q: 9. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 mi/hr. How fast does the…

A:

Q: 1. Merle is six feet tall. He is standing under a light that is hanging 15ft above the ground. As he…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

A:

Q: A population of bacteria is growing according to the equation P(t) 1250e".11. Estimate when the…

A: The population of bacteria growing according to the equation We need to find the value of t when…

Q: 4. A ladder 10 meters long is leaning against the wall ofa building The base of the ladder is…

A:

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A:

Q: A hunter is standing 350 feet away and fired a bullet straight up at a bird on a tree at a rate of…

A: Consider the provided question, Drawn a figure according to the given question,

Q: the area, A, of a square is increasing at 6cm2 per minute. how fast is the side length of the square…

A:

Q: Air is escaping from a spherical balloon at a rate of 3cm3/min. At what rate is the surface area…

A: Given:

Q: A bicyclist accelerates at a constant rate from a standstill to 15 km/hr in 90 sec. a) How fast is…

A: a) Consider the given information: u=0 km/hrv=15 km/hrv=15 ×10003600m/sv=4.17m/st=90sec From…

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

A:

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A:

Q: 28.lf a flash of lightning is observed in a cloud 2640 m away and the speed of sound in air is 330…

A: Given that: Distance between the observer and cloud=2640 mSpeed of sound=330 m/s

Q: on the moon, the acceleration of a free falling object is a(t) = -1.6 meters per second per second.…

A:

Q: Q3: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at…

A:

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

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: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: topic - application of derivatives

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…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: We have to find area on Monday.

Q: ng the shore and 60 meters from the sh mps into the water and swims from the second and swim at a…

A:

Q: In this calculus question, there is a shadow length question that deals with a 6 foot man walking at…

A: Follow the procedure given below.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.