Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of
We can do this in parts
When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges
Answer:6
Step-by-step explanation:
Step-by-step explanation:
<u>Given:</u>
- Total distance is 500 km
- Total time is 5 1/2 h
- The distance travelled at 100 km/h is x
- The distance travelled at 80 km/h is y
<u>We know that:</u>
<u>Considering all the info we can make below chart:</u>
Nikolas' car trip
<u> | at 100 km/h | at 80 km/h | Total |</u>
<u>Distance | x | y | 500 km |</u>
<u>Time | x/100 | y/80 | 5 1/2 h |</u>
Answer:
y = 4x - 3
Step-by-step explanation:
The equation for a line is y = mx +c
We need to find m which is the gradient:
To do this pick any two coordinates on the line:
(1, 1) and (2, 5)
Next divide the difference of the y coordinates by the difference of the x coordinates:
5 - 1 / 2 - 1
= 4/1 = 4
so our gradient is 4
We'd write that as y = 4x + c
Next we need to find c which is the y-intercept
To do this just simply look for where the line crosses the y-axis
This is -3
So we'd write that as y = 4x - 3
Hope this helps :)
I got no solution as the answer