3. The radius r of a circle is increasing at the rate of 10 cm per minute. Find the rate of change of the Area when r=8

Q: A spherical balloon is inflated and its volume increases at a rate of 30 in3 /min. (a). What is the…

A: Given that, The spherical balloon is inflated and its rate of change of volume is; dVdt=30 (in3min)…

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A: NOTE: Refresh your page if you can't see any equations. . the area of the circle is given by  take…

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

A:

Q: If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which…

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

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

A:

Q: If the radius of a sphere is increasing at a constant rate of 2 cm/sec, then the volume 3 is…

A:

Q: 11. If a snowball melts so that its surface area decreases at a rate of 1 cm/min, find the rate at…

A:

Q: The area of a circle increases at a rate of 4 cm? /s. a. How fast is the radius changing when the…

A:

Q: 6. Find the rate of change of the circumference of a circle with respect to the area when (a) the…

A:

Q: 1. A boy is blowing a spherical balloon at a rate of 50 cm /s. At what rate is the radius of the…

A: This question is based on application of derivative.

Q: Suppose the radius of a sphere is increasing at a rate of 5 in/second.  At what rate is the surface…

A: Given that radius of a sphere is increasing at an of 5 in/sec. Let r be the initial radius of the…

Q: 1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3…

A: Given that radius of circle r=3. The objective is to find the rate of change of the area of a circle…

Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate (in…

A:

Q: 2): The side of a cube decreases at a rate of 6 m/sec. Find the rate at which the surface area of…

A:

Q: 8. The radius of an inflating balloon in the shape of a sphere is changing at a rate of 3cm/sec. At…

A:

Q: If the rate of change of the side length of an equilateral triangle is 2br / sec, what is the rate…

A: Please rate and feel free to ask any query about any part of the question.  I have used applications…

Q: The radius, r, of a circle is decreasing at a rate of 4 cm/sec. Find the rate of change of the area,…

A:

Q: or the following problem, consider a pool shaped like the bottom half of a sphere, that is being…

A:

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A:

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A:

Q: If the rate of change of the surface area of a sphere with respect to its radius is 16pi sq cm, find…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: Topic:- application of derivatives

Q: Find the rate of change. Volume of a cube with respect to its sides when s = 5

A: The volume of a cube with side s is V=s3 Differentiate with respect to s dVds=ddss3=3s2

Q: The radius of a circle is increasing at the rate of 0.7 cm/s. what is the rate of

A:

Q: A triangle with constant base b and height h is changing with time where h(t) = 3t + 1. What is the…

A:

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: How fast is the surface area of a circular oil spill in the ocean changing when the radius is 10ft…

A:

Q: 16. If the radius of a circle is increasing at the rate of 4 cm/s, find the rate of the increase in…

A: Given radius of a circle is increasing at the rate of 4 cm/sec.

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: A cylinder is leaking water but you are unable to determine at what rate. The cylinder has a height…

A: Given, Radius is 2m, height is 2m. Height is decreasing at 10 cm/min when height is 1m.

Q: 1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3…

A: Authoring guidelines:…

Q: If the sides of a square increase in length at a rate of 3 in/s, then the rate of change of the…

A: Let the side length of a square be x Now, Side length increases at a rate of 3in/s. That is, dxdt=3…

Q: The volume of a cube with sides of lengths is given by=s. Find the rate of change of volume with…

A:

Q: A circle has an initial radius of 50 ft. when the radius begins decreasing at the rate of 3 ft/min.…

A: Area of a circle is given byDifferentiating the function of area with respect to time:

Q: 14. If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at…

A: To find the rate

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

A:

Q: 4. The radius of a sphere decreases at a rate of 3 m/sec. Find the rate at which the surface area…

A: Surface area of sphere is given by: A=4 π r2 Find the rate at which the surface area decreases when…

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: Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the…

A:

Q: 18. If the radius of the circle increases at the rate of 0.01 cm per second, find the rate of change…

A: Topic:- Application of Derivative  Correct option = a

Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. What rate does the…

A: Here, We need to find a) The rate at which cube's surface area change when x=5 m b) The rate at…

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

A:

Q: Let A be the area of a circle with radius r that is increasing in size with respect to time. If the…

A: We have to find rate of change of the radius when radius is 6 cm and rate of change of area is given…

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: 13. (a) Find the average rate of change of the area of a circle with respect to its radius r as r…

A: (a) The average rate of a function f between the points a and b is given by: The area of a circle…

Q: The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when…

A: