Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart aft
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Answer:
A
Step-by-step explanation:
The consecutive values of have a common difference d, that is
d = 8 - 3 = 13 - 8 = 18 - 13 = 23 - 18 = 5
This indicates that the sequence is arithmetic.
The recursive formula allows the next term in the sequence to be found from the previous term by adding 5, thus
=
+ 5 → A
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:
