ft -) is the radius of the puddle decreasing when the radius is 2 ft? hour A circular puddle is evaporating at a rate of 3 At what rate (in hour D A. 3n 4

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi? increases at a constant rate…

A:

Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A:

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A:

Q: 3. A tank of water in the shape of a cone is leaking water at a constant rate of 2 ft/hour. The base…

A:

Q: he radius of an air is increasing at the rate of 1/2 cm/s.At what rate is the plume of the bubble…

A:

Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A: Rate at which surface area increases is

Q: The base x of the right triangle in Figure increases at a rate of 5 emfs, while the height remains…

A: Write the tangent ratio for angle .

Q: 2. The radius R of a circle is increasing at the rate of 1cm per sec. how fast is the area changing…

A: To find: The rate of change of area when . Formula used: Area of circle having radius R.…

Q: A pebble is dropped into a calm pond, causing ripples in the form of circle. The radius r of the…

A: We use first derivative with respect to time of area to find rate of change

Q: The radius of a spherical balloon is increasing at 5cm/sec. How is the volume increasing when the…

A: It is required to find the rate of change of increase on volume of spherical balloon.

Q: A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius…

A: Rate of Radius of outer ripple increasing = 1 ft/sec                    Radius = 4 feet

Q: The radius of a balloon is increasing at the rate of 10 cm / sec. At what rate is the surface area…

A:

Q: Water is pouring into an inverted cone at the rate of 8 cubic meters per minute. If the height of…

A:

Q: The radiusof an air bubble is increasing at the rate of 0.5cm/ sec At what rate if the volume of the…

A: Rate of change

Q: A tank of water in the shape of a cone is being filled with water at a rate of 12 m3/ sec. The base…

A:

Q: the radius of a circle is increasing at a constant rate of 100 meters per second. at what rate is…

A: First of all, consider the area for the circle.Then differentiate on both sides of equation w.r.t…

Q: A plate in the shape of an equilateral friangle expănds with time. The length of a side increases at…

A:

Q: (C) A spherical balloon is to be inflated so that its volume increases at a rate of 800n cm/min. How…

A:

Q: The radius r of a circle is changing at the rate of -2/π m/sec. At what rate is the circle’s area…

A:

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of…

A:

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A: The volume of a cone of height h and radius r is given by…

Q: The radius of a circle is increasing at the rate of 0.7 cm/c.what isthe rate of oncreasing of its…

A: Differentiate circumference wrt t

Q: The radius of a sphere decreases at a rate of 3 meters per second. Find the rate at which the…

A:

Q: #13 The radius of a sphecical blloon is increasing at the cate of 3inches per second, How fast is…

A:

Q: ...., Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate…

A: Answer is mentioned below

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

A:

Q: The radius of a circle is changing atthe rate of -2/paiA m/sec. At what rate is the circle’s area…

A: Let the radius of the circle be r. Then the area (A) of the circle is: A=πr2 Differentiating with…

Q: The radius of a sphere decreases at a rate of 8 m/sec. Find the rate at which the surface area…

A: It is given that the radius of sphere decreases at a rate of 8 m/sec. So, drdt=-8. The radius is r=3…

Q: A 13-foot ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate…

A: At the instant when the perimeter of the circle is 20π, then p=2πr20π=2πrr=10 m

Q: 7. A spherical balloon is being filled in such a way that the surface area is increasing at a rate…

A:

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: The surface area is

Q: Suppose that a tumor in a person’s body has a spherical shape and that treatment is causing the…

A: we know that the volume of the sphere                       V=43πr3                          (1)

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of…

A: Given that: Rate of increase of area = 6.50 mi2/hr

Q: 1. Suppose oil spills from a ruptured tanker and spreads in a circu pattern. If the radius of the…

A: Given that

Q: 7. A vertical cylinder is leaking water at a rate of 1 ft'/sec. If the cylinder has a height of 10…

A: To find the rate of change of height of water changing

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the volume…

A:

Q: QI: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water…

A: Given data: The given height of the cone is H=3 m. The given radius of the cone is R=1.2 m. The…

Q: a 25 ft ladder is leaning against a house when its base starts to slide away.  By the time the base…

A: Given length of the ladder  x=7 and  and base is moving at the rate of 72 ft/sec i.e.

Q: The radius of a balloon is increasing at the rate of 10cm/sec. At what rate is the surface area of…

A:

Q: A triangle's base is increasing at the rate of 2 inches/sec, its height at 5 inches/sec. At what…

A: Increasing rate of base, dbdt=2 inches/sec. Increasing rate of height, dhdt=5 inches/sec. Area of…

Q: A water tank is in the shape of a cone as shown. If water is being drained from the bottom at a rate…

A: Note: As per Bartleby guidelines, for every 2 different questions asked, only 1 has to be solved.…

Q: pouring

A: We will find the rate of change of height.

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A: Let the volume of conical paper cup be V in³, radius be r in, height be h in  Given dV/dt=(3/2)…

Q: 18. Sand is falling into a cylindrical tank at a rate of 15 cubic feet per minute. The radius of the…

A: Please follow the next step.

Q: The area of a circle increases at a rate of 3 cm^2 per second. Find a) how fast is the radius…

A: Given information:The area of a circle increases at a rate of 3 cm square per second