an oil spill is spreading in a circle at a rate of 316.7in/sec2. at what rate is the radius changing when the radius is exactly 9in?

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A: 6)

Q: find the rate at which the volume of a right circular cylinder of constant altitude 10 feet changes…

A: Given  Altitude=10feet We need to find the rate at which the volume of a right circular cylinder…

Q: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When the…

A: we have given that Gas is being pumped into a spherical balloon at the rate of 10 cubicinches per…

Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

A:

Q: A Ferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. How…

A: the height is given byh = 10 sin (pi * t) + 10dh/dt = 10 cos (pi * t) * pi

Q: Find the rate at which the surface area of the water changes when the water is 10 ft high if the…

A:

Q: if the base of triangle is constantly 4 cm find the rate at which the area of the triangle is…

A:

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: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A:

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

A:

Q: Find the rate of change of the volume of a cone with a constant height of 5 m with respect to radius…

A:

Q: A trough of water is 8 meters in length and its ends are in the shape of isosceles triangles whose…

A: Given:- A trough of water is 8 meters in length and its ends are in the shape of isosceles triangles…

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 3…

A: Given that:Rate of increase of radius, drdt=3 ft/s

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: Water is flowing at the rate of 9 ft3/min into a tank that is in the shape of a right circular…

A: Let r be the radius of base of cylinder, then r=2 ft .Let h be the height of water level at any time…

Q: 2. please help, they canceled class due to virus can't contact teacher.

A:

Q: The surface area of a sphere increases at a rate of 90 m/sec. Then the rate at which the radius…

A:

Q: A large weather balloon is being inflated with air at the rate of 0.9 ft3 per minute. Find the rate…

A: Given a large weather balloon is being inflated with air at the rate of 0.9 ft3 per minute. Volume…

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

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: A spherical balloon is being deflated at a rate of 80 cm3/min. At what rate is the radius decreasing…

A:

Q: A snowball is melting at a rate of 2.4ft^3 hr^-1 – if the snowball remains a sphere throughout the…

A: given: A snowball is melting at a rate of 2.4ft3/hr. that implies dVdt=-2.4ft3/hr where V is the…

Q: Water is flowing at the rate of 6 ft/min into a tank that is in the shape of a right circular…

A: Given data:   The rate at which water is flowing in the cylindrical tank is dV/dt =6 ft3/min. The…

Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

A: Given that  An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If…

Q: When a circular plate of metal is heated in a oven, its radius increases at a rate of 0.05 cm/min.…

A: drdt=0.05cm/minradius, r=52cmArea=πr2Derivative formuladdxxn=n xn-1

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

A: The radius of a circle is increasing at the rate drdt= 0.7 cm/sec r = radius of the circle

Q: When a circular plate is heated on an oven its radius increases at a rate of 0.03 cm/ min at what…

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 circle is increasing at a rate of 5 centimeters per minute. Find the rate of change…

A: We can find the answer as below using the given data.

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: Find the rate of change of volume of a sphere with respect to its surface area when the radius is 2…

A:

Q: Show that the rate of change of the area of a circle with respect to its radius is equal to the…

A: Our Aim is to show that the rate of change of area of a circle with respectto its radius is equal…

Q: A yellow balloon, spherical in shape is inflated with a rate of 100 cm3 /sec. Calculate the rate at…

A: Given

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

A:

Q: Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. Find the rate…

A: given: Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. we have…

Q: A spherical balloon is being inflated at a rate of 9(pi)cm^3/sec. At what rate is its radius…

A:

Q: Find the rate of change of the ice circle's area towards the start of spring if the initial radius…

A:

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: . Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24…

A:

Q: (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

A:

Q: A conical cistern of height 5 ft and 7 ft across the top is being filled at a rate of 5 ft3/s while…

A: A conical cistern is given whose height is 5 ft and diameter at the top is 7 ft. A conical cistern…

Q: A spherical balloon is being deflated at the rate of 10 cm/s. What is the rate of change for the…

A:

Q: There is a balloon that is being filled. Its radius is increasing at a rate of 5in a minute. What is…

A:

Q: The sides of a square increases in length at a rate of 3 m/sec. At what rate is the area of the…

A:

Q: A spherical droplet of water evaporates at a rate of 1 mm3/minute. Find the rate of change of the…

A:

Q: Air is being pumped into a spherical balloon at a rate of 4 cm3/min. Determine the rate at which the…

A:

Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: Find the rate of change. Volume V of a cylinder with respect to radius if the height is equal to the…

A: