The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 11 cm and the width is 4 cm, how fast is the area of the rectangle increasing? cm?/s

The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 11 cm and the width is 4 cm, how fast is the area of the rectangle increasing? cm?/s

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...

See similar textbooks

Related questions

Q: fast is the area of the rectangle changing at the instant when the other side is 12 cm and…

A: Topic:- application of derivatives and geometry

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

Q: A triangular trough 10m long, 4m across the top and 4m deep is being filled with water at a afficed…

Q: Wheat is poured through a chute at the rate of 10 ft/min and falls in a canonical pile whose bottom…

Q: A small balloon is released at a point 60 feet away from an observer, who is on level ground. If the…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

A: we know square area, A = a2 , where a = side of square To find the solution , we will…

Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: It would be best to express length, width, and area as functions of time. I’ll set x = width, y =…

Q: A screen saver displays 3 cm x 5 cm and then expands it in such a way that the length of the longer…

Q: A 6 foot tall man is walking at a rate of 40 metres per minute directly away from a wall with a…

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 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

Q: An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance between the…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: We have to find the area of rectangle increasing

Q: An 8-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: From Pythagorean theorem in the right triangle, the length of the ladder is h2+b2.

Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: We need to find reat of change of area.

Q: . The volume of a cube is increasing at a rate of 10 cm³/min. How fast is the surface area…

A: Given : Volume a cube is increasing at a rate of 10 cm³/min.

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

A: We have to find rate of change of area

Q: The length of the rectangle is increasing at a rate of 5cm/s and its width is decreasing at a rate…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: The derivative represents the rate of change. Since given that, the length of a rectangle is…

Q: The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36pi in^3/min. How…

A: given in a cylinderr=5 indVdt=36π in3/minh=10 innow volume of cylinder (V)=πr2hradius is constant

Q: The surface area of a cube is increasing at a rate of 349.9 cm/s. At what rate is the side length of…

A: We have to find the rate of change in side

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: Consider the given situation, Let the length of the rectangle be ‘l’ and breadth be ‘b’.Area of…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: It is the application of Derivative.

Q: A wet towel hung from a clothesline to dry loses moisture through evap-oration at a rate…

Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

Q: 2) A person is standing 350 feet away from a model rocket that is fired straight up into the air at…

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given, A ladder slides down a vertical wall at a rate of 0.675 m/s When the bottom of the ladder…

Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: We know for rectangle, Area (A) = Length (l) × width (w) So, rate of change of area, (dA/dt) =…

Q: A rectangle has one side of 10 cm. How fast is the area of the rectangle changing at the instant…

A: Given that: Let the one side of rectangle is (a) = 10 cm and the other side of rectangle is (b)= 18…

Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Let us consider that, lowermost end of ladder is y foots away from wall and height of wall is x…

Q: A mold grows at a rate proportional to its present size. If the original amount doubles in one day,…

Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

Q: An ice cube that is 3 cm on each side is melting at the rate of 2 cubic cm per min. How fast is the…

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

Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

A: Given oil is spilled from tank and it flowing in a circular path with increasing radius of 2m/s .…

Q: The length of a rectangle is decreasing at the rate of 5 cm/s and its width is increasing at the…

A: Area of a rectangle = length× width Rate of change with respect to time is D/Dt

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

Q: The volume of a cube is increasing at the rate of 6 cm/min. How fast is the surface area increasing…

A: It is given that, the volume of a cube is increasing at the rate of 6 cm3/min. The objective is to…

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

Q: The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate…

A: Here we have, The length of a rectangle is increasing at a rate of 2 ft/s, and its width is…

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Height = 10 foot 3 feet/sec Ladder is 3 feet from the wall

Q: The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: Let the length of the rectangle be: l cm Let the width of the rectangle be: w cm

Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the…

A: Given problem:- A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform…

Question

100%

pls help get me to find how to get this solved asap

The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 11 cm and the width is 4 cm, how fast is the area of the rectangle
increasing?
cm2/s

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 with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
The half-life of magnesium-27 is 9.45 minutes. How much of a 10-mg sample will be left in 6 minutes?
Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of a bacteria. She starts his experiment with 50 of the bacteria that grows at a rate of 15% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?