A rod of length 2m is connected at its ends to perpendicular sliders so that moving one end also shifts the other. If one end moves at a constant speed of 10cm/sec away from the intersection of the sliders, when it is lm away from that point, how fast is the other end moving? 2m Im

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m^3/min.…

A: Given Height of canonical tank=3 m and Radius of canonical tank =2 m and dvdt=2 m3/min.     .....1

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of  6cm/min.…

A:

Q: A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

A: Consider the following:

Q: A pulley having a diameter of 36 cm is turned by a belt that moves at the rate of 5 m/sec. How many…

A: In one revolution the pulley will rotate by an angle of 360°. Hence, the belt will cover a distance…

Q: A 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that weighs 4 oz/ft.…

A: Given that, a 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that…

Q: A baseball is thrown straight downward with an initial speed of 40 ft/s from the top of the…

A: Let t be the time taken by the ball to reach the ground and the velocity of the ball is v. Now, the…

Q: If 6 J of work is needed to stretch a spring from 10 cm to12 cm and another 10 J is needed to…

A:

Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

A:

Q: A cylindrical tank, shown to the right, has height 10 m and radius 2 m. a. If the tank is full of…

A: Correct ans is a in set up integral  Part b----- a option correct

Q: A softball diamond has the shape of a square wide sides 60 ft long. If a player is running from…

A: A softball diamond has the shape of a square with sides 60 ft long. A player is running from second…

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: A baseball is thrown straight downward with an initial speed of 40 ft/s from the top of the…

A:

Q: A light is at the top of a 16 ft pole. A man 6 ft tall walks away from the pole at a rate of 5ftsec…

A:

Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

A: At any time t, let the height of the water be h ft and the radius of the cone formed by the volume…

Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away fromher at a…

A:

Q: Question 4

A: Let a be the acceleration, v be the velocity, s be the position and t be the time of braking.

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A:

Q: A 7,453 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A:

Q: A satellite is in a circular orbit of diameter 90029 km about the Earth, which had a mass of…

A:

Q: pherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At…

A: The radius of the balloon decreases at the rate of =15 cm/min let radius of balloon =r then…

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 inches tall person is walking away from the…

A:

Q: Suppose that for the tank in Exercise 23 the pump breaks down after 4.7 X 10° J of work has been…

A:

Q: A force of 18 lb is required to hold a spring stretched 4 in. beyond its natural length. How much…

A:

Q: 3.) A conical tank is 10ft across the top and 12 ft. deep. If oil is poured into the tank at the…

A:

Q: Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the…

A: answer is in next step.

Q: If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to…

A: let L is the natural length (actual length) of the spring. Now if the force (f) produces…

Q: The turbine fan blade of a turbojet engine is 1.2 m in diameter and rotates at 250r/s. How fast is…

A:

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: 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: A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. If…

A:

Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: * A 5 m pole, leaning against a wall s1ips in such a way that its base is vdun moving away from the…

A:

Q: The ends of a trough, 8 ft in length, are isosceles triangles with height 2ft and base 4ft. Water is…

A: Rate of change

Q: A car braked with a constant deceleration of 40 ft/s2, producing skid marks measuring 80 ft before…

A: Deceleration = dv/dt And v = dx/dt where v is the velocity and x is the displacement Hence,…

Q: A cube is expanding in such a way that the length of its diagonal is increasing at a rate of 5…

A: Let y be the diagonal, x be the length of an edge and V be the volume of the cube at any time t.…

Q: A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much…

A:

Q: A computerized spin balance machine rotates a 25-inch-diameter tire at 480 revolutions per minute.…

A:

Q: A car braked with a constant deceleration of 8 ft/s2, producing skid marks measuring 100 ft before…

A: constant deceleration of 8 ft/s2  skid marks measuring 100 ft

Q: If a spherical balloon is being filled with air at a constant rate of 2 cm³/s, at what rate is the…

A: Let r be the radius of the balloon in cm and V be the volume in cm3. The variable t stands for time…

Q: A trough is 14 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

A: Given that: A trough is 14 feet long and its ends have the shape of isosceles triangles that are 4…

Q: A car braked with a constant deceleration of 16 fts 2 , producing skid marks measuring 200 ft…

A: Given, deceleration a(t) = 16 ft/sec2. s(0) = 0 ft and s(T) = 200 ft and v(T) = 0. Where T is the…

Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. a) If a rock is dropped into a crevasse,…

A: a) The acceleration due to gravity on the moon is -1.6 m/sec2. Recall that the second derivative of…

Q: 1. Air is being pumped into a spherical balloon at a rate of 4 cm3/min. How fast is the radius of…

A: 1. Given:   The rate at which air is pumped into the spherical balloon = 4 cm3/min   Diameter of the…

Q: The volume of a cube is increasing at a rate of 64 in ³/sec. At what rate is the length of each edge…

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Q: paper cup has the same shape of a cone with the height of 8cm and a radius 3cm (at the top). If…

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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…

A:

Q: A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 50 ft before…

A:

Q: A spring has a natural length of 20 cm. If a 25-dyne force is required to keep it stretched to a…

A: We are only allowed to solve one question at a time so we will answer only the first question.…

Q: g.) A ladder 14 ft long is leaning against a fence 8 ft high with the upper end projecting over the…

A:

Q: A water tank, shown to the right, is shaped like an inverted cone with height 12 m and base radius…

A: