A weight is attached to one end of a 33-foot rope which passes over a pulley 18 feet above the ground. The other end is attached to a truck at a point 3 Feet Above the ground. If the truck Moves away at a rate of 2 feet per second, How fast is the weight rising when the truck is 8 feet from the spot

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A: Given  Speed of first car =48 mi/h towards south Speed of second car =20 mi/h towards west

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

Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: One ship, Ship A, is approaching a port from the east, travleing west at 15 miles per hour, and is…

A:

Q: (8) A baseball diamond has the shape of a square with sides of 75 feet long. A player running from…

A:

Q: A man starts walking north at 2 feet per second from a point P. A minute later a woman starts…

A:

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Given: Since the height is decreasing.     To determine:

Q: A weight is attached to one end of a 33-foot rope which passes over a pulley 18 feet above the…

A: The above problem statement can be pictorially represented as:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

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

A:

Q: A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

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 helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A:

Q: A 10-foot ladder is standing vertically against the side of a building. To show you a related rates…

A: We can solve as follows

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

A:

Q: A rectangle is growing in such a way that when its length is 5 ft and its width is 2 ft, the length…

A: When length is:= 5 ft; When width is:= 2 ft; Rate of increasing length= 3 ft/s; Rate of increasing…

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: From Pythagorean theorem in the right triangle,  the length of the ladder is h2+b2.

Q: 9. A man 5 n tall is walking toward a building at the rate of 3 A/sec. If there is a light on the…

A:

Q: 3 Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A: Given the data:

Q: The radius of the circle is increasing at a rate of 3 meters per minute and the sides of the square…

A: Since the circle is enclosed inside the square, the area between the circle and the square will be…

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

A:

Q: A ladder 10 ft long rests against a vertical wall . If the bottom of the ladder slides away from the…

A: Please see the answer below.

Q: Two radio stations are located 150 miles apart, where station A is west of station B. Radio signals…

A: Given Distance between radio stations A and B is 150 miles. Signal travelling rate is 0.2…

Q: 2. A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at10…

A: From the given data , Man walks across a bridge in one second AC=5 feet and boat passes in one…

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

A:

Q: A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…

A:

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A:

Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: Suppose the length of the diagonal of a square is increasing at the rate of 2 inches per second. At…

A:

Q: C. Two cars start moving from the same point. One travels east at 55mi/h and the other travels south…

A: We use Pythagoras theorem

Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Let us consider that, lowermost end of ladder is y foots away from wall and height of wall is x…

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: 1. Suppose the length of the diagonal of a square is increasing at the rate of 2 inches per second.…

A:

Q: The volume of a cube is increasing at the rate of 1200 cm3/min at the instant its edges are 20 cm…

A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

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

A:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Firstly we will draw the diagram for given information and then find the required as shown below

Q: The volume of a cube is increasing at the rate of 1200 cm³ / min at the instant its edges are 20 cm…

A:

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

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

A:

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Height = 10 foot 3 feet/sec Ladder is 3 feet from the wall

Q: A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A: Given a ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed…

Q: 6) A light is 20 meters above a straight horizontal path. If a man 1.65 meters tall is walking away…

A: Given: Height of light is 20 meter. Height of man is 1.65 meters. Rate with which man is walking is…

Q: 3. A certain boat traveled 32 kilometers along with the current and 16 kilometers against the…

A: Given : Kilometer traveled along the current= 32 Kilometer traveled aginst the current = 16 Rate of…

Q: A rectangle is growing in such a way that when its length is 5 ft and its width is 2 ft, the length…

A:

Q: Ship A is 70 km west of ship B and is sailing south at the rate of 25 kph. Ship B is sailing north…

A: At t = 0 { initial position } , distance between ships.Let the distance between ship A and ship B be…

Q: OH NO!! CERTAIN DOOM: Car A is traveling west at 50 mi/hr and car B is traveling north at 60 mi/hr.…

A:

Q: 4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm…

A: Given: 4) Question is wrong (Some values are missed) 5) dxdt=10 ft/sec, h=100 ft, and l=125 ft

Exponential Growth Model

The relation that represents an exponential function is: