Answer:
4
Step-by-step explanation:
miles.
It is given that,
Total length of park trail = miles
Total length traveled by hiker = miles
We need to find the length of trail hiker need to travel to get to the end of the trail.
Required length
Therefore, hiker need to travel miles to get to the end of the trail.
The greatest number of games Rosa can buy is 5
Let
k ----> the number of games, k, that Rosa can buy with her money
we have
solve for k
subtract 5.50 both sides
divide by 2.50 both sides
therefore
Integers
Counting Numbers are {1,2,3,4,5,...}
Its opposite would be -1,-2,-3,-4,-5,... respectively.
It includes 0 so the whole set would be
{ ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ... }
which is set of integers.
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region: