Answer:
Converges at -1
Step-by-step explanation:
The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.
We will make use of integral by parts to determine:
let:
We can therefore determine that if x tends to 0 the limit is -1
If the time taken by 14 inches wide is one hour then the blade of 12 inches wide will take 1 hour 17 minutes to mow a lawn.
What is width?
The width of something is the measurement of one side of a body. It is generally less than length of that body or shape.
How to calculate time?
We have been given time of 1 hour if blade is 14 inches wide and we have to calculate time taken by 12 inches wide blade:
It will be as 14/12* 1 hour
=14/12
=1.167
=1.17 hour
Hence the time taken by the blade of 12 inches wide will be 1 hour and 17 minutes.
2x + 5 = 3x - 45 [alternate interior angles]
3x - 2x = 5 + 45
x = 50
4y - 1 + 2x + 5 = 180 [supplementaly angles]
4y + 2(50) + 4 = 180
4y + 100 = 176
4y = 76
y = 19