Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 3 cubic feet per minute. If the pool has radius 6 feet and height 9 feet, what is the rate of change of the height of the water in the pool when the depth of the water in the pool is 7 feet?

Q: 3. A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from…

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Q: 1. A 10 ft ladder is leaning a gainst a wall. If the top of the ladder slides down the wall at a…

A: We have to find the rate at which the bottom of ladder is sliding down when the length of the ladder…

Q: A cylindrical bucket is being filled with paint at a rate of 6 cm³ per minute. How fast is the level…

A: Given data: r = 30 cm, h=60cm, dVdt = 6 cm³/min.

Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

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