The series is a convergent p-series with p = 3
<h3>How to know it is a divergent or a convergent series</h3>
We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.
The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.
The value of 
The formular for this is
∑
where n = 1
we know it is convergent because p is greater than 1. 3>1
Read more on convergent series here:
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Answer:
- Josh: 32 mph, 64 mi
- Greg: 64 mph, 320 mi
Step-by-step explanation:
Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...
distance = speed · time
distance = x · 2 = 2x
Then 2x is Greg's rate of travel After 5 hours, his distance is ...
distance = speed · time
distance = (2x) · 5 = 10x
The distance they are apart is ...
10x -2x = 256
8x = 256
x = 32
__
Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.
Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.
<em>__</em>
<em>Check</em>: 320 miles - 64 miles = 256 miles . . . . correct separation
Answer:
y = -cos(2x)
Step-by-step explanation:
Mean/mid line: y = 0
It's a negative cos, with period pi.
So, y = -cos(2x)
Answer:
Step-by-step explanation:
The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y
Original Equation:
write f(x) as y (since that's what it represents)
Swap x and y
Square both sides
Add 1 to both sides
So this gives you the equation:
You are given
a distance of 20 kilometers and time of 30 minutes. You are required to find
for the speed of the travelling object. The equation for speed is distance over
time. Speed is a scalar quantity. It tells you the direction of the travelling object.
The solution in this problem is,
Speed =
distance/time
Speed = 20
kilometers / 30 minutes
<u>Speed =
2/3 kilometers per minute or 0.667 kilometers per minute</u>
<span>Therefore,
the speed of the object is 0.667 km per minute.</span>
