A conical tank full of water is 25 ft high and 15 ft in diameter at the top. If water is flowing out of a cavity at the bottom of the tank at a rate of 3 ft³ min⁻¹ , find the rate at which the water level is falling when the water is 16 ft above the bottom and (b) 2 ft above the bottom

Q: A cyclist coasts up a 11.3° slope, traveling 19.0 m along the road to the top of the hill. If the…

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Q: An equilateral triangle gutter is 27 ft long, 1 ft wide across the top, and 6 ft deep. If rainwater…

A: Let Vt be the volume of the water at time t. Given that dVdt=12 ft3/min Let h be the height of the…

Q: A ladder 25 feet is leaning against a wall. If the foot of the ladder is being pulled away from the…

A: To determine the rate at which the ladder is sliding. Given: Ladder is 25 feet long dx/dt = 14…

Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is…

A: Given an arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft.…

Q: The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15…

A: Given the volume of a cube decrease at a rate of 0.75 ft3/min. To find the rate at which the side…

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

A: Disclaimer:Since you have posted a question with multiple sub-parts, we will solve first three sub…

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

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Two cars start moving fr km/hr. At what rate is the

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Q: Which is the greater rate,15 miles in 12 minutes or 25 miles in 20 minutes?Explain

A: Solution: the objective is to find sum of given series

Q: A luxury car runs smoothly on a paved road at 60 mph. If it then decelerates to a stop at a constant…

A: A luxury car runs smoothly on a paved road at 60 mph. If it then decelerates  to stop at a constant…

Q: A person holding a ball is on top of a building. The person jumped at the rate of 1 ft/s while…

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Q: An inverted cylindrical cone, 32 ft deep and 16 ft across at the top, is being filled with water at…

A: NOTE: Refresh your page if you can't see any equations. . the height of the cone is 32 feet the…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

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.