The radius of semicircle is increasing at the rate of 0.8 cm/s, calculate the rate of change in the area of the semicircle when the radius is 5 cm.

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: What is the rate of change of the areaof a circle (A = pr2) with respect to the radius when the…

A: To find the rate of change of the area of a circle with respect to the radius when the radius is…

Q: The height of a right circular cone is increasing at 4 cm/sec and the radius is decreasing at 1.5…

A: Recall:  Volume of right circular cone, V=13πr2h Given, dhdt=4 cm/sec, drdt=-1.5 cm/sec  To find,…

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

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: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the…

A:

Q: The radius of a spherical balloon is increasing at the rate of 0.8 cm / minute. How fast is the…

A:

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the…

A: Given that the diameter= 100 mm So the radius is=r=1002=50 mm Given that the radius of a sphere is…

Q: The width of a rectangle increases at a rate of 2 cms. The length is five times its width. Find the…

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: An ice cube is growing 0.2cm per minute. Find rate surface area changes when length is 8cm

A:

Q: The radius of a sphere is increasing at a rate of 4mm/s. How fast is the volume increasing when the…

A: The rate of change of the radius of the sphere, drdt = 4 mm/s To evaluate : The rate at which the…

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: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle…

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm…

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 4 ft/min.…

A: Area of a circle of radius r is given by  A = πr2                ...(1) Differentiate with respect…

Q: Find the rate of change of the area of a square with respect to the length z of a diagonal. What is…

A:

Q: A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a…

A: From the given question we get the figure below, By Pythagorus theorem we get, (hyp)2=(opp)2+(adj)2…

Q: As a circular metal griddle is being heated, its diameter changes at a rate of 0.01 cm/min. Find the…

A:

Q: Air is being pumped into a sperical balloon so that its volume increases at a 12. rate of 16 cubic…

A:

Q: Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two…

A: Let the sides of rectangle be x and y   since, two parallel sides are increasing at the rate of…

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Volume of sphere= =43πR3 where R is the Radius of the sphere.

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

A: Here  radius of bubble is given and rate of change of radius of bubble is also given

Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

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: 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: A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, t…

A:

Q: Two parallel sides of a rectangle are increasing in length at the rate of 2 in/sec while the other…

A: Given: The two parallel sides of a rectangle are increasing in length at the rate of 2 in/sec. The…

Q: A cube is expanding at the rate of change 64 m³/s. What is the rate of change of its surface area…

A: This question is based on application of derivative.

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: Find how fast the area of a triangle increases as the length of the base of the triangle increases…

A: (a) We need to find dAdb where A is the area of the triangle and b is the base of the triangle.

Q: What is the average rate of change of the height of water in the vase with respect to the volume of…

A:

Q: The surface area of a sphere, initially zero, increases uniformly at 4 square inches pe second. Find…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: gas is escaping a spherical ballon at the rate of 4cm per minute . how fast is the surface area…

A: Given that, Gas is escaping a spherical balloon at the rate of 4 cm per minute. The objective is to…

Q: The side of the base of a square prism is decreasing at a rate of 7 km/min and the height of the…

A: Surface area of a square prism is given by- A=2a2+4ah where a is side of prism, h is height of…

Q: A triangle has a base that is decreasing at a rate of 11 cm/s with the height being held constant.…

A:

Q: The radius of the sphere is decreasing at a rate of 2in/min. What is the rate of change of its…

A:

Q: the radius r of a right circular cylinder with fixed height of 48 inches is increasing. Find the…

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

Q: The side of a square is increasing at the rate of 0.2 cm/sec . Find the rate of increase of the…

A: we know that the perimeter of the square is with side x is                        P=4x…

Q: A conical funnel is 200 mm tall and has a maximum diameter of 150 mm. Water is flowing into the…

A: 1st we will draw figure and using geometry find relation between radius and height of the funnel .…

Q: Air is being pumped into a spherical balloon such that its radius increases at a rate of .50 in/min.…

A: r= 3 in dr = 0.5 in/min

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

A:

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: The solution for the above question is as shown below.

Q: A triangle has a base that is decreasing at a rate of 4 cm/s with the height being held constant.…

A: Let b and h be the base and height of the trianglegiven rate at which base is decreasing, dbdt=4cm/s…

Q: A bacterial cell is spherical in shape. If the radius of the cell is increasing at the rate of 0.01…

A: Given , Bacterial cell is in spherical shape.Let radius be 'r' μm . ∴ Volume of cell, v v = 43π…

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

A:

Q: The diameter of a sphere is 5(2x+ 5), the rate of change of its surface area with respect to x is

A:

Q: A rectangle has a length that is increasing at a rate of 16 mm per second with the width being held…

A:

Q: The radius of a sphere is increasing at a rate of 4mm/s.How fast is the volume increasing when the…

A: Given that the radius of a sphere is increasing at a rate of 4mm/s. That is, Now consider the…

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

A: