Answered: The radius of a circle is increasing at…

Math

Calculus

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

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter79: Computing Compound Angles On Cutting And Forming Tools

Section: Chapter Questions

Problem 5A: Determine the arc dimension x in inches to 3 decimal places.

See similar textbooks

Related questions

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

Q: Coffee is draining out of a conical filter at a rate of 2.25 in3>min. If the cone is 5 in tall…

A: Given: The change in volume for the filter is -2.25 in3/min The change in volume for the coffee pot…

Q: The radius of a sphere decreases at a rate of 1 m/se decreases when the radius is 15 m

Q: Find the rate of change. The diameter of a circle with respect to radius

Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

Q: A spherical balloon is inflated with air at a rate of 32 cm3/ min. At what rate does the radius…

A: Find dr/dr.

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

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

Q: The volume of a sphere is increasing at a rate of 4 cm3/sec. Find the rate of change of its surface…

A: We will use derivative as rate of change

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: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

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

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

Q: The surface area of a sphere increases at a rate of 55 m²/sec. Then the rate at which the radius…

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

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

Q: Given a cylinder surmounted on both ends by a hemisphere, find the rate of change of its volume with…

A: Given: Cylinder is surmounted by hemisphere at both ends.And height of cylinder is 5 meter.

Q: Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the…

A: The volume of hemisphere filled with liquid to height h = πrh2-π3h3

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

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

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 8- meter ladder is leaning against a vertical wall. If a the ladder away from the person pulls…

A: Given Length of the ladder = 8 meter The rate at which ladder is pulled away from the wall =0.7m/s…

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

Q: find the rate of change of the circumference of a circle when the area is increasing at the rate of…

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

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

Q: a water tank has the shape of an inverted circular cone with a base radius of 2m and a height of 4m.…

Q: The radius of a circle increases at a rate of 4 cm/ sec. The rate at which the area of the circle…

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: 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: An object is thrown vertically upward with an initial velocity of 16 ft/sec from the top of a house…

Q: Water is running out of a conical funnel at the rate of 1 in3/sec. If the radius of the base of the…

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: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

Q: The volume of a sphere is increasing at a rate of 40 cm^3/sec. At what rate is the radius ofthe…

Q: The rate of change of the area enclosed between the circle and the square is square meters per…

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

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

Q: The volume of a cube is growing at a rate of 2 in3/min. Determine the rate at which the surface of…

A: Given:The volume of a cube is growing at a rate of 2 in3/min, that is dVdt=2 in3/min, where V is the…

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: an oil spill is spreading in a circle at a rate of 316.7in/sec2. at what rate is the radius changing…

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

Q: If a snowball melts so that its surface area decreases at a rate of lcm²/min, find the rate at which…

A: Snowball represents a sphere So , Surface Area of sphere is 4πr2. And , d=2r. Using this we solve…

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

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

Question

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Chain Rule$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in 6 s. At what rate, in feet per second, is a horse on the outer edge moving?
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.
Determine the arc dimension x in inches to 3 decimal places.
What is the decibel level of a small fan with intensity 108 watts per square inch?