The area of a circle is increasing at a rate of 96 square feet per minute. At the time when the radius of the circle is 3, what is the rate of change of the circumference of the circle? Round your answer to three decimal places (if necessary).

Q: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

A:

Q: The area of a square is increasing at a rate of 9 square inches per second. At the time when the…

A: We are asked to find the rate of change of the perimeter of the square

Q: A sloth is 7 feet east of a fire hydrant and begins to walk south at a rate of 1.7 feet per hour.…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

A:

Q: The area of a rectangle with one of its sides s is A(s) = 10s". What is the rate of change of the…

A:

Q: The area of a circle is increasing at a constant rate of 205 square inches per minute. At the…

A: We have to find rate of chenge of radius

Q: ick is increasing at a rate of 3 meters per minute. How quickly is the area changing when the oil…

A:

Q: A boy 5 ft tall is walking away from a streetlight at the rate of 3 ft/sec. If the light is 12 above…

A: In the question it is asked to find the rate at which shadow is lengthening for the movement of boy…

Q: At the instant when the radius of the oil slick is 50 feet, what is it's area? A = square feet dA If…

A:

Q: A man 5.5 feet tall is walking at a rate of 4 feet/sec away from a light that is 24 feet above the…

A:

Q: The radius of a circle is decreasing at a constant rate of 9 meters per minute. At the instant when…

A: Let r = radius of given circle and A = area of the given circle   Given, the radius of a circle is…

Q: A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average…

A:

Q: It started raining at 10:35 am, and by 11:45 am the barrel had 8 inches of water in it. What was the…

A: NOTE: Refresh your page if you can't see any equations. . x=time (in minutes) after 10:35 am y=water…

Q: The radius of a circle is increasing at a constant rate of 8 centimeters per minute. At the instant…

A:

Q: The radius of a circle is increasing at the rate of 0.7 cm/s.whats is the rate of increase of its…

A:

Q: The area of a circle is decreasing at a constant rate of 60 square inches per second. At the instant…

A: To find the rate of change of radius

Q: The area of a square is decreasing at a rate of 158 square centimeters per second. At the time when…

A: Area of square =(side)2 perimeter of square = 4(side) let side of square= x cm

Q: A pole that is 3653 feet long is leaning against a brick wall. The bottom of the pole is getting…

A:

Q: The area of a circle is decreasing at a rate of 17 square inches per second. At the time when the…

A: The given question can be solved as shown in step2.

Q: The area of a circle is decreasing at a constant rate of 181 square centimeters per second. At the…

A: Solution -  Here in this problem it is given that  Area of the circle decreasing at a constant rate…

Q: Find the rate of change of the circumference of a circle with respect to the area when the area is…

A: Given :  the  area  of the  circle is 4π square feet. To  find : the rate  of change of…

Q: The area A of a circle is increasing at a constant rate of 2cm's-. If the area of the circle is…

A:

Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The answer is given below:

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: One leg of a right triangle is always 6ft. long, and the other leg is increasing at a rate of 2 feet…

A: Let the leg with constant length be denoted by b Let the other leg be denoted by a Let the…

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8…

A:

Q: The radius of a circle is decreasing at a constant rate of 8 feet per second. At the instant when…

A: The radius of a circle is decreasing at a constant rate = drdt=-8 ft/s Area of circle A = 16π ft2

Q: The area of a circle is increasing at a constant rate of 118 square feet the instant when the area…

A: Let area = A sq.feetradius = r FeetAlso given area A = πr2 = 25π…

Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…

A:

Q: A rectangle has a length that is increasing at a rate of 10 mm per second with the width being held…

A: We have to find rate of change of area .Information is given below:

Q: The surface area of a cube with sides of length x is given by S = 6x2. Find the rate of change of…

A: Given: The surface area of the cube : S=6x2 To find : Rate of change of surface area with respect to…

Q: The radius of a circle is increasing at a constant rate of 3 meters per second. At the instant when…

A:

Q: A plane flying horizontally at an altitude of 2 mi and a speed of 580 mi/h passes directly over a…

A: NOTE: Refresh your page if you can't see any equations. . hee we have AB=x AC=y=4 BC=h=2 which is…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

A:

Q: A hunter is standing 350 feet away and fired a bullet straight up at a bird on a tree at a rate of…

A: Consider the provided question, Drawn a figure according to the given question,

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2…

A:

Q: The area of a square is increasing at a rate of 16 centimeters squared per second. Find the rate of…

A: Area of square =(side)2

Q: The radius, r, of a circle is decreasing at a rate of 2 centimeters per minute.  Find the rate of…

A:

Q: An ice cube that is 3 cm on each side is melting at the rate of 2 cubic cm per min. How fast is the…

A:

Q: A snowball melts in such a way that the rate of change in its volume is proportional to its surface…

A:

Q: The rate of change of the temperature of a building is 7° /hr when the temperature is 12°. What is…

A: The rate of change of temperature per hour = 7o   The rate of change of temperature in 30 min or…

Q: The area of a square is decreasing at a rate of 49 square inches per second. At the time when the…

A:

Q: The radius r of a sphere is increasing at a rate of 8 inches per minute. Find the rate of change of…

A:

Q: It started raining at 10:15 am, and by 12:10 pm the barrel had 7 inches of water in it. What was…

A:

Q: A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When…

A:

Q: The area of a square is increasing at a rate of 56 square meters per minute. At the time when the…

A:

Q: A hot air ballon is 170 ft above the ground when a motorcycle (traveling in a straight line on a…

A: The image made from available details in the question

Q: A heated circular plate has a radius of 24 in. What is the rate of change of the plate's radius if…

A: To find the rate of change of plate's radius

Q: The blood pressure P measured in millimeters of mercury of an adult x years old is given by P(x) =…

A:

Q: The radius of a sphere is decreasing at a rate of 2 centimeters per second. At the instant when the…

A: Write the equation of the surface area of sphere solve it as per given in step 2