In a certain rectangle, the length of one side is always two inches more than four times the length of the other side. At what rate is the enclosed area decreasing when the shorter side is 2 inches long and is decreasing at a rate of 3 inches/minute?

Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is…

A:

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

A: Given query is to find the rate of change of area.

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

A:

Q: A trucker calculates that if he increased his average speed by 60 km/h, he could travel his 170-km…

A: Consider that if a trucker increased his average speed by 60 km/h , he could travel his 170-km route…

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

A:

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: NOTE: Refresh your page if you can't see any equations. . width is w=x so the length is l=4x+2 the…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A:

Q: Suppose that during the first year after its hatching, the weight of a duck increases at a rate…

A: Solution

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

A:

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

A:

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: The solution of the problem is given in the next step.

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

A:

Q: Two people start biking from the same point. One heads east at 13 mph, the other south at 17 mph.…

A: Given, two bikers start at same point. One heading east at 13mph and other heading south at 17 mph.

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

Q: One car leaves a given point and travel north at 30 mph. Another car leaves 1 hour later, and travel…

A:

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 altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A: Solution

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: Suppose that Stuart is 6 feet tall and is walking towards a 20-foot streetlight at a rate of 4 feet…

A:

Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 49 km/h…

A:

Q: A certain type of bacteria is known to grow at the rate proportional to square root of the amount…

A: To find- how much bacteria is there after 7 hours.

Q: Suppose that a product currently sells for $25, with the price increasing at the rate of $2 per…

A: Given, Currently products sells for $ 25  and at this price consumers will buy 150 thousand items.…

Q: two joggers set out the same time from their homes 24 miles apart. they agreed to meet at a point…

A: Given:- Two joggers set out the same time from their homes 24 miles apart.  they meet at a point in…

Q: A certain drug breaks down in the body at a rate of 18% per hour. If an initial dosage is 500…

A:

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A:

Q: The substance decomposed at a rate proportional to the amount resent. What is the half-life of the…

A:

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: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 45 km/h…

A:

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Let's find initially present bacteria.

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

A:

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are…

A:

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: Solution

Q: For a car moving at a constant speed the distance traveled varies directly. with the time spent…

A:

Q: If in the year 2000 there were 1.26 million metric tons of beef produced and demand is growing at a…

A:

Q: The length of one side of a rectangle is always three times the length of the other side. At what…

A: Given that, The length of the one side of a rectangle is always three times the length of the other…

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

A:

Q: The length of a rectangle is decreasing at the rate of 1 feet per second, but the area remains…

A: Let x and y ( in feet ) be the length and width of rectangle and A ( in ft2) be the area of…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A:

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: Given query is to find the rate of change area.

Q: Two joggers start from opposite ends of an 8 mile course running towards each other One jogger is…

A: Let after x hours they will meet. We will use the formula: Distance= speed*time  Speed of first…

Q: The average number of weekly social media posts varies jointly with the poster's yearly income (in…

A: Let the average number Of weekly post be ‘N’ Let yearly income be ‘I’ And age in years be ‘A’ The…

Q: When area of a square is increasing twice as fast as its diagonals, what is the length of a side of…

A:

Q: A very large pool with a water depth of 700 inches is going to be drained for cleaning. After the…

A: A very large pool with a water depth of 700 inches is going to be drained for cleaning. After the…

Q: If a country with a growth rate of 2.8% can double its population size in 24 years, then how long…

A: If a country with a growth rate of 2.8% can double its population size in 24 years, then how long…

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: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: