9) A rectangular swimming pool has a base that is 10m by 20m. Water is being pumped into the pool at a rate of 30 m3. How fast is the water level rising after 12 minutes.

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A:

Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

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A: Given:    Distance = 250 meter per hour

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A:

Q: 2. A water heater that has the shape of a right cylindrical tank with a radius of 2 ft and a height…

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Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 2 feet…

A: Given thatLength of water trough is 8 feet and cross section is equilateral triangle with side 2…

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A: A ladder 10 ft. long If the bottom of the ladder slides away from the wall at a rate of 2 ft./sec.,…

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A:

Q: A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

A: Given A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

Q: A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is…

A: Given: The trough is being filled with water at the rate of 0.3 m3/min, dVdt=0.3 m3/min

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: Suppose the edges of a cube are increasing at a constant rate of 11 m/hr. Then, the volume of the…

A: Let the side of the cube = x Edges of the cube increasing rate dx/dt = 11 m/hr

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 trough is 14 ft long and its ends have the shape of isosceles triangles that are 5 ft across at…

A:

Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: A trough is 14 ft long and its ends have the shape of isosceles triangles that are 5 ft across at…

A: Similar triangles property is used as the height and width of the water level is proportional to the…

Q: A water trough is 10 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A:

Q: An equilateral triangle initially has sides of length 20 ft when each vertex moves toward the…

A: We have given an equilateral triangle intially has sides of length 20ft and each vertex moves toward…

Q: A water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30cm…

A:

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

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Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

A:

Q: If the volume of a cube is increasing at a rate of 24 in'/min and each edge is increasing at 2…

A: The volume of cube is given by V=a3 where a edge of cube. Given that volume of cube increasing at a…

Q: A 12-meter plank is leaning against the wall. If the bottom of the plank is pulled away from the…

A: We need to find how fast the plank will move.

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: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

A: We have to find how fast is the water level rising when the water is 6 inches deep.

Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A: SOLUTION: Given, a water trough is 8 feet long and its cross-section is an equilateral triangle with…

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

A: This problem is based on the application of differentiation.  First we have to write an equation in…

Q: A water trough is 13 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A: Given:  A water trough is 13 feet long, and its cross section is an equilateral triangle with sides…

Q: If the ocean is opening at a rate of 3 cm/year., how wide will the ocean be in 100 million years in…

A: If the ocean is opening at a rate of 3 cm/year, then we have to find how much wide will the ocean be…

Q: A 5 meter long ladder is leaning against a wall. If the bottom of the ladder is being pushed towards…

A: Let AB is h=5 m long ladder leaning against the wall AC. Distance between the bottom of the ladder…

Q: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: The sides of the square are increasing at a rate of 3 cm per second . When the sides are 5cm long ,…

A:

Q: A spherical drop of liquid evaporates at a rate proportional to tis surface area. If a given drop…

A: Given: The drop evaporates to 18 of its volume in 5 minutes

Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

A:

Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: Given data:   The length of the trough is L=12 ft. The side of the isosceles triangle is b=2 ft. The…

Q: A water trough is 11 feet long, and its cross section is an equilateral triangle with sides 3 feet…

A: (a) Height of side of equilateral triangle with side s is,

Q: A cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume (in cubic…

A: Volume of cylindrical shape V=πr2h ------------------(1)

Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

A: Solution

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: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

A:

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 conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

A: To find the rate of water

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: A tank is shaped like an upside-down square pyramid, with a base with sides that are 4 meters in…

A:

Q: A process tank is being filled at a rate of 1200 GPM. If the tank is completely full, how much is…

A: In flow rate is 1200 GPM. Out flow rate is 320 GPM.

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

A: Let V be the volume of the water inside the trough and h be the height of the water inside the…

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

A:

Q: A 80 foot ladder leaning against a wall is being pushed so that the bottom of the ladder is sliding…

A: Here dydt=6feet/secondx=48 feety=64feet

Q: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm in…

A: Let height of cylindrical tank is "h". Diameter is 120 cm. So, Radius would be r=1202=60 cm Volume…