Answered: Suppose that the sides of a cube are…

Suppose that the sides of a cube are expanding at a rate of 2 inches per minute. How fast i the volume of the cube changing at the moment the cube has a side length of 20 inches?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.2: Evaluate And Graph Exponential Functions

Problem 10.33TI: Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of...

See similar textbooks

Related questions

Q: The sides of a square are increasing at the rate of 2 inches per minute. How fast is the Area…

A: Given The side of square is increasing at rate of 2inches per minute. The area of a square with…

Q: A cylindrical rod made of ice is melting at a rate of 8 cm3 per minute. When the length of the rod…

A: The formula for the volume of the cylindrical rod is, V=πr2h where r is the radius of the…

Q: two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other…

A: The solution is given below in the next step:

Q: The volume of a right circular cylinder is 60 cm3 and is increasing at 2 cm3/min at a time when the…

A: First we have to differentiate expression of volume with respect to time.

Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate picture…

Q: A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm wide…

Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the surface…

Q: A cube has sides that are increasing at a rate of 10 cm/s. At what rate is the volume increasing…

A: Valur=?

Q: Suppose an elastic rubber band is used to make a square, and is being stretched (while keeping the…

A: An elastic rubber band is being stretched (while keeping the square shape) at the rate of 2 inches…

Q: A hand-tossed pizza crust starts off as a ball of dough with a volume of 400πcm^3. First, the cook…

Q: Suppose the sides of a cube are expanding at a rate of 2 inches per minute, How fast is the volume…

Q: The length of the rectangle is increasing at a rate of 5 cm per second, and its width is decreasing…

A: Let the length be: l Let the width be: w

Q: A sperical snowball is melting in such a way that its volume is decreasing at a rate of 1 cm^3/min.…

A: Volume of the sphere formula:‘r’ is the radius of the sphere

Q: A 6-ft-diameter cylindrical tank is filled with water to a height of 10 ft. It is drained such that…

Q: All edges of a cube are expanding at a rate of 6 cm per second. How fast is the volume changing when…

Q: The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

A: Let r be the radius of spherical ballon

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.2 cm/min. At what is…

Q: The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1…

Q: All edges of a cube are expanding at a rate of 8 mm per hour. At what rate is the volume of the cube…

Q: A plate in the shape of an equilateral triangle expands with time. The length of a side increases at…

A: Given that the length of side increases at a constant rate of 2 cm/h find out at what rate is the…

Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume…

A: It is given that dsdt=6 cms. It is known that V=s3. Differentiate the above equation with respect to…

Q: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the surface…

A: All edges of a cube are expanding at a rate of 2 centimeters per second.

Q: Assume that a snowball melts so that its volume decreases at a rate proportional to its surface…

A: Let V denote the volume and A denote surface area. Rate of melting is proportional to its surface…

Q: All the edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume…

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells. What…

Q: Suppose the length of the diagonal of a square is increasing at the rate of 2 inches per second. At…

Q: An artist paints a portrait on a circular canvas and encloses it in a circular metal frame. At a…

A: Let the radius of the circular canvas be r. The area of the canvas will be given by: A=πr2 Also,…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

Q: All edges of a cube are expanding at a rate of 7 cm per second. How fast is the surface area…

A: Given that all edges of a cube are expanding at a rate of 7 cm per second. Let the edge of a sphere…

Q: A girl is using a straw to drink coke from a right cylindrical glass at a rate of 6 cubic…

Q: If the radius of a right circular cylinder is increasing at a rate of 1 inch per minute, and the…

Q: If the area A = s of an expanding square is increasing at the constant rate of 8 square inches per…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is the surface…

A: Since, we have been given that all edges of a cube are expandingat a rate of 8 centimeters per…

Q: Suppose the radius of a sphere is expanding at a rate of 3 inches per minute. How fast is the volume…

A: Let V & r be the volume and radius of the sphere at any time t respectively. Given that, the…

Q: All edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the volume…

Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

Q: as a balloon in the shape of a sphere is being blown up, the volume is increasing at the rate of 4…

A: Volume of the sphere Shape ballon: V = 4/3ℼr3 (r = radius) Now differentiate with respect to L,…

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.2 cm/min. At what is…

Q: how

Q: A cone shaped icicle has an initial radius of 10 inches and a height of 15 inches. Once the height…

Q: All edges of a cube are expanding at a raete of 6 centimeters per second. How fast is the surface…

Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A: Let's find.

Q: A comment loses material when it gets close to the sun at a rate of 100 m³ per minute. Assuming that…

A: Given a comet loses material when it gets close to the sun at a rate of 100 m³ per minute.

Q: The radius of a sphere, initially zero, increases at the rate of 4 feet per second. Find how fast…

A: Solution :Given the adius of a sphere, initially zero, increases at the rate of 4 feet per…

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the surface…

Q: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

Q: The volume of a cube is increasing at the rate of 2 cubic inches per minute. How fast is the surface…

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

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume…

A: Given that, All edges of a cube are expanding at a rate of 6 centimeters per second. Thus, dxdt=6…

Question

Suppose that the sides of a cube are expanding at a rate of 2 inches per minute. How fast i the volume of the cube changing at the moment the cube has a side length of 20 inches?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

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.