Here are 3 questions with their respective answers.1) Find
Answer: 4.Explanation:This expression indicates the
limit as the function f(x) approaches 2 from the right side.You should apply the function (the line) from the right side of 2 and get as close to x = 2 as you can.
That line has an open circle at
y = 4, which is the limit we are looking for.
2) Analyze the graph to see if the limit exists.Answer: 

To find each limit,
utilize the function approaching from the direction of x.It's important to note that since the two limits differ, it is concluded that the limit of the function as x approaches 2 does not exist.
3)
Answer: -1
To determine the limit as the function approaches 3 from the left,
follow the line ending with an open circle at (3, -1).Hence, the limit is -1.
You might consider utilizing the following dataset:
0 0
1 60
2 120
3 180
4 240
5 300
6 360
7 420
8 480
9 540
10 600
This information illustrates a function of:
y = 60x
This indicates that the vehicle achieves 60 miles per gallon.
The distance covered per gallon exceeds that of Mr. Miller's vehicle.
Answer: a) 1791 seconds
b) 29701 seconds
Step-by-step breakdown:
1 US gallon = 0.134 cubic feet
It takes 20 seconds to fill a 2-gallon watering can with the garden hose. Converting 2 gallons into cubic feet results in
2 × 0.134 = 0.268 cubic feet
a) The inflatable pool has dimensions of 3 feet wide, 8 feet long, and 1 foot deep.
Volume = 3 × 8 × 1 = 24 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 24 cubic feet = (24 × 20)/0.268
= 1791 seconds
b) The formula for the volume of a cylinder is πr²h
Diameter = 13 feet
Radius = diameter/2 = 13/2 = 6.5
The circular pool's volume calculates to
3.14 × 6.5² × 3 = 397.995 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 397.995 cubic feet = (397.995 × 20)/0.268
= 29701 seconds