A 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the well-stirred solution to flow out at the rate of 2 gal/min. If the tank initially contains 1500 pounds of salt, a) how much salt is left in the tank after 1 hour? b) after 9 hours and 59 min?

Q: If the work required to stretch a spring 2 ft beyond its natural length is 12 ft-lb, how much work…

A:

Q: If the work required to stretch a spring 1 ft beyond its natural length is 9 ft-lb, how much work is…

A: To find the work

Q: 28. A 1600-lb elevator is suspended by a 200-ft cable that weighs 10 lb/ft. How much work is…

A: 28. Note that, the force on the elevator going up is constant. Therefore, w=fd. W1=1600×300W1=48000…

Q: A trench is 180 ft long and 12 ft deep, 7 ft wide at the top and 4 ft at the bottom. How many cubic…

A:

Q: A cylinder has a diameter of 7 cm and a height of 20.8 cm. It holds 3 balls each with a diameter of…

A:

Q: A cylindrical jar 6 inches in diameter and 8 inches high, contains 50 spherical balls of 1 inch…

A:

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A: To determine the amount of work required to pump all the water.

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: 4. A force of 1200 lb compresses a spring from its natural length of 18 in. to a length of 16 in.…

A: We have to find work done to compress the spring from its natural length (L=18).

Q: A solid has volume and surface area equal to 1200 cu.in and 800 sq. in, respectively. What is the…

A: For two similar solid ,Ratio of volume and surface area is always equal.we use this fact to solved…

Q: A rectangular prism has volume of 220cm3. O Given that the length of the prism is 11cm, calculate…

A: It is given that, Volume of the rectangular prism = 220 cm3 a) Given that the length of the prism is…

Q: If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work…

A: Given work required to stretch by 1ft is 12ft -lb

Q: A trailer 5 ft by 2 ft by 5 ft is filled with coal. Given that 1 ft3 of coal weighs 80 lb and 1 ton…

A:

Q: A trench is 10 m long and1 m deep. It is 2 m wide across the top and 1 m wide at the bottom. How…

A:

Q: A tank contains 60 kg of salt and 1000 L of wa solution is mixed and drains from the tank at

A: Given: A tank contains 60 kg of salt and 1000 kg of water.

Q: If the work required to stretch a spring 1 ft beyond its natural length is 15 ft-lb, how much work…

A:

Q: 10 ft-lb of work is required to stretch a spring from its natural length of 12 inches to 36 inches.…

A: Let F be the force and K be the spring constant. If x is the change in length of the spring from its…

Q: A 500-lb cable is 300 feet long and hangs vertically from the top of a building. How much work (in…

A: Given:  Weight w=500-lb Length L=300 ft

Q: A driveway 30 m long and 5 m wide is to be paved withblacktop 3 cm thick. How much will the blacktop…

A: The driveway length is 30 m and width is 5 m. The thickness of blacktop is 3 cm. Cost of blacktop is…

Q: A wooden fence 6 ft high and 220 ft long is to be painted on both sides.a. What is the total area to…

A: a. The height of the fence is 6 ft. The length of the fence is 220 ft. The fence looks as the shape…

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

A:

Q: Based on the figure below, how much water is stored after 20 minutes in each of the tanks? How long…

A:

Q: A balloon 30.7 m in radius is to be filled with helium. How many m3 of helium are needed to fill it?

A:

Q: homeowner has decided to fill in his in-ground pool because it is no longer used. Assume the pool is…

A: Given Dimensions of Pool 20 feet wide (W) 40 feet long (L) 5.5 feet deep (D)

Q: The volume of a cube is growing at a rate of 225 ft3/min, and the length of a side is 5 ft. What is…

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

Q: The volume of Prism A is 1,53 volume of Prism B is 375 m3. ratio of their surface area?

A: The volume of prism A=VA= 1536 m3 and Volume of prism B=VB= 375 m3 Let the side of prism A  =a  and…

Q: A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar…

A:

Q: If the total surface area of a solid right circular cylinder is 200pi sq. cm. and its radius is 5cm,…

A:

Q: A 200-lb cable is 100 ft long and hangs vertically from the top of atall building. How much work is…

A:

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: A trailer 5 ft by 3 ft by 5 ft is filled with coal. Given that 1 of coal weighs 80 lb and 1 ton =…

A:

Q: A cube of wood measures 5 centimeters on a side and weighs 33 grams. Complete parts​ (a) and​ (b)…

A:

Q: How many tiles will be needed in a room that is 9 m long and 8 m wide given that each tile has an…

A: We have to find no of tiles required

Q: A 20-m-long, 50-kg chain hangs vertically from a cylinder attached to a winch. How much work is…

A: Consider the provided information, To compute the work by using the formula, w=∫0LρgL-ydy Let y=0 be…

Q: The side of a cube increases at a rate of 7 meter /second. Then the rate at which the volume of the…

A:

Q: a rectangular prism tank has a base with a length of 40 inches a width of 35 inches and a height of…

A:

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A:

Q: A steel column carrying a load of 10,000 pounds has a diameter if 10 inches. What is the pressure on…

A: Given,

Q: A cone 20 cm. in diameter and 14 cm. high was used to fill a cubical container, 25 cm per edge, with…

A: given edge of cube (a)=25 cmvolume of cube=axaxa=25x25x25given in a conediameter=20cmthen radius of…

Q: A mountain cabin has a single room 20 ft by 10 ft by 9 ft high. What is the total volume (in ft3) of…

A: From the given information, it is observed that the dimension of the room is 20 ft × 10 ft × 9 ft.…

Q: ular settling tank are: Length 24, Width 6 m and depth 3 m. If 3 hours detention time for tank is…

A: Here the length of the rectangular settling tank L=24 m the breadth of the rectangular settling tank…

Q: A new sidewalk will be 5 feet wide, 120 feet long, and filled to a depth of 9 inches ( 0.75foot)…

A:

Q: A seamstress needs to cover a box that is 10 cm long 6 cm high and 4 cm wide with material on al the…

A:

Q: There is an order to infuse normal saline at 25 drops per minute and a tubing set that says there…

A: Given, Flow rate = 25 drops/min Drop Factor = 15 drops/ml Volume = 1 liter              = 1000 ml

Q: The volume of a ball is 768 cm and its density is 3.2 g/cm3. What is the mass of the ball? Round to…

A:

Q: A heavy rope, 90 ft long weighs 1.4 Ib/ft and hangs over the edge of a building 150 ft high. How…

A:

Q: At average rates, how long would it take to completely remove 15 cm of soil? 8.

A: Given-    Average rate of cropland  erosion =6mm decade         Average rate of soil formation…

Q: An open rectangular box, 1 m long, 70 cm wide and 50 cm deep, is painted on the inside and outside.…

A: Area

Q: If the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.