1. A Meralco worker left a ladder 5 m long leaning against a concrete vertical post. If the bottom of the ladder is pulled horizontally away from the post at 3 is the top of the ladder sliding down when the bottom is 4m from the base of the post. m how fast sec

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

A:

Q: 2. A hemisphere of radus 12 nches and base up is full of water that runs out through an orifice of…

A: Dimensions of a hemisphere tank are: Radius R=12 inches or 0.3048 mHeight of tank H1=Radius of tank…

Q: Suppose that 2J of work are needed to stretch a spring from its natural length to a length 1m beyond…

A:

Q: 1. A ladder 8 m long is leaning against a wall. If the bottom of the ladder is pulled horizontally…

A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

Q: 18. A kite string is paid out at a constant rate of 3 ft/s. If the wind carries the kite…

A:

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We have  height of pulley =1 m rate of approach =1 m/s We can assume a triangle as Where x as base…

Q: 5. A 15-ft ladder rests against a verti 0.33 ft/sec, how fast, in ft/sec, is t instant when the…

A: Find the rate of increasing the ladder going away from the wall

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

A:

Q: 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a…

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: 9. A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from…

A:

Q: Two carts, A and B, are connected by a rope 39 ft long thatpasses over a pulley P . The point Q is…

A: To Find: The rate at which the cart B is moving forward the point Q when cart A is 5 ft from Q.…

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3…

A: Follow the procedure given below.

Q: 13. A 10-meter ladder is leaning against a vertical wall with its foot on the same horizontal plane…

A:

Q: 5. A trough is 6m long and its ends have the shape of isosceles triangles that are 1m across at the…

A: The solution is given below in the next step:

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A:

Q: 17. On a highway with a steep incline, the runaway truck ramp is constructed so that a vehicle that…

A:

Q: Car A is 40 km east of Car B and begins moving west at 40 km/h. At the same moment, Car B begins to…

A: Answer is in below steps.

Q: 1. A Meralco worker left a ladder 5 m long leaning against a concrete vertical post. If the bottom…

A: We have to solve the Pythagoras theorem.

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Given : The pulley is 1 m higher than the bow The rate at which rope is pulled dydt=-1m/s and x=8.…

Q: If the work required to stretch a spring 0.25?? beyond its natural length is 12 ?? − ??, how much…

A:

Q: Two carts A and B are connected by rope 39 cm long that passes over a pulley P. Thepoint Q is on the…

A:

Q: The sum of the reciprocal s of Rehman's ages (in years) 3 years ago and 5 years from now is -. 1…

A: Age Related Problem

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We sketch the situation roughly  Let us assume x=the distance of the boat from the dock y=the…

Q: A ladder 7 m long is leaning against a wall. If the bottom of the ladder is pushed horizontally…

A:

Q: A spring's natural length is 10 m. If it requires 5 J to stretch the spring from 13 m to 17 m, find…

A: Given: spring's natural length is 10 m. I.e x0 = 10 m  When the spring is stretched it's length…

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 25 feet high. If…

A:

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

A:

Q: s. How fast (in knots) is the distance between the ships changing at 4 PM? (Note

A:

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

A: Given: The rope is drawn in over a pulley 5 feet higher than the bow at the rate of 2 feet per…

Q: If the base h of a triangle is increasing at a rate of 3 inches per minute while its height h is…

A: Area of a triangle of base b and height h is given as, A=12bh The derivative of area with respect to…

Q: (5) A conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high. If…

A: we know that, the volume of conical shape, V = 1/3πr^2h  so after defernciate this, we will solve…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Let A= Pulley , B= Boat Given that AC=1  Let, x= distance of the boat from the dock. y=length of the…

Q: 1)A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground.…

A: ----------------------------------------------------------------------------------------------------…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of th ladder and the ground…

A: Simplification using  trigonometric ratio

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: The dock is 1m higher than the bow of the boat. Pulled rate of the rope of 1.4m/s To calculate the…

Q: 2. Leanne is travelling at 13 km/hr. Fernando is moving at 3-5 m/s. Who is travelling faster?

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: Water is being released from a conical reservoir (vertex down) 20 ft in radius and 40 ft deep at a…

A: (1) Given radius =20 ft Height=40 ft dVdt=80 ft3min. Hence, rh=2040 ⇒rh=12⇒r=h2 Hence, r=h2 The…

Q: 11. A ball is thrown vertically upward with a speed of 25.0 m/s from a height of 2.0 m from the…

A: Calculate the time taken to reach the highest point and then from the highest point to the ground…

Q: A ship leaves port at 2:00 PM and travels S30°E at the rate of 50 km/hr. Another ship leaves the…

A: Given that a ship leaves a port at 2:00 PM and travels S30degree East at the rate of 50km/hour and…

Q: 10. A ladder 13 ft. long leans against a vertical wall. If the top slides down at 1.5 ft. per sec.,…

A: Definition used-         In a right angle triangle -…

Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the…

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Q: the minute hand of a clock is 15 mm long and the hour hand is 12 mm. How fast is the distance…

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Q: c) Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and…

A: (In this figure, P is the point mentioned in the question, which is at some distance from ship A and…

Q: 1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: I have stated the used formulas in the solution

Q: A ladder 13 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A:

Q: Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and moving…

A: Given data: The speed of  A is dxdt=-20 mph. The speed of  B is dydt=15 mph. Position of A is xA=15…

Q: 1. A tank is shaped like an upside-down pyramid, with a base of 4 meters and a height of 12 meters.…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.